{"id":11910,"date":"2024-09-16T13:00:00","date_gmt":"2024-09-16T07:30:00","guid":{"rendered":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/%e0%a4%8f%e0%a4%95-%e0%a4%90%e0%a4%b8%e0%a4%be-%e0%a4%b5%e0%a4%b0%e0%a5%8d%e0%a4%97-%e0%a4%ac%e0%a4%a8%e0%a4%be%e0%a4%a8%e0%a4%be-%e0%a4%9c%e0%a4%bf%e0%a4%b8%e0%a4%95%e0%a4%be-%e0%a4%95%e0%a5%8d\/"},"modified":"2026-05-18T09:44:15","modified_gmt":"2026-05-18T04:14:15","slug":"%e0%a4%8f%e0%a4%95-%e0%a4%90%e0%a4%b8%e0%a4%be-%e0%a4%b5%e0%a4%b0%e0%a5%8d%e0%a4%97-%e0%a4%ac%e0%a4%a8%e0%a4%be%e0%a4%a8%e0%a4%be-%e0%a4%9c%e0%a4%bf%e0%a4%b8%e0%a4%95%e0%a4%be-%e0%a4%95%e0%a5%8d","status":"publish","type":"post","link":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/hi\/%e0%a4%8f%e0%a4%95-%e0%a4%90%e0%a4%b8%e0%a4%be-%e0%a4%b5%e0%a4%b0%e0%a5%8d%e0%a4%97-%e0%a4%ac%e0%a4%a8%e0%a4%be%e0%a4%a8%e0%a4%be-%e0%a4%9c%e0%a4%bf%e0%a4%b8%e0%a4%95%e0%a4%be-%e0%a4%95%e0%a5%8d\/","title":{"rendered":"\u090f\u0915 \u0910\u0938\u093e \u0935\u0930\u094d\u0917 \u092c\u0928\u093e\u0928\u093e \u091c\u093f\u0938\u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u0926\u093f\u090f \u0917\u090f \u0935\u0930\u094d\u0917 \u0915\u0947 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u0915\u093e 1\/n \u0939\u094b"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">\u0928\u0940\u091a\u0947 \u0926\u0940 \u0917\u0908 \u0906\u0915\u0943\u0924\u093f \u092e\u0947\u0902, \u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f \u0915\u093f \u090f\u0915 \u0935\u0930\u094d\u0917 \\(ABCD\\) \u092f\u093e \u0917\u092f\u093e \u0939\u0948 (\u091c\u093f\u0938\u0915\u0940 \u092d\u0941\u091c\u093e \u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 \u0939\u092e\u0947\u0902 \u092e\u093e\u0932\u0942\u092e \u0928\u0939\u0940\u0902 \u0939\u0948)\u0964 \u092e\u093e\u0928\u093e \u0915\u093f \\(PB\\) = \\(BS\\) = \\(1\\) \u0907\u0915\u093e\u0908, \u0914\u0930 \\(BQ\\) = \\(2\\) \u0907\u0915\u093e\u0907\u092f\u093e\u0901 \u0939\u0948\u0964 \u092e\u093e\u0928\u093e \u0915\u093f \\(PRQ\\) \u090f\u0915 \u0905\u0930\u094d\u0927\u0935\u0943\u0924\u094d\u0924 (semicircle) \u0939\u0948, \u091c\u094b \u092c\u093f\u0928\u094d\u0926\u0941\u0913\u0902 \\(P\\) \u0914\u0930 \\(Q\\) \u0938\u0947 \u0917\u0941\u095b\u0930 \u0930\u0939\u093e \u0939\u0948\u0964 \u0924\u092c, \u0935\u0930\u094d\u0917 \\(XYZB\\) \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u0935\u0930\u094d\u0917 \\(ABCD\\) \u0915\u0947 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u0915\u093e \u0906\u0927\u093e \u0939\u094b\u0928\u093e \u091a\u093e\u0939\u093f\u090f\u0964<\/p>\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/09\/square-figure1.jpg\" alt=\"&#x935;&#x930;&#x94D;&#x917; &#x91A;&#x93F;&#x924;&#x94D;&#x930;-1\" class=\"wp-image-15373\"\/><figcaption class=\"wp-element-caption\"> \u091a\u093f\u0924\u094d\u0930-1<\/figcaption><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"wp-block-paragraph\">\u092f\u0939 \u0938\u0935\u093e\u0932 \u0914\u0930 \u092f\u0939 \u091a\u093f\u0924\u094d\u0930 \u0939\u092e\u0947\u0902 \u0939\u092e\u093e\u0930\u0947 \u090f\u0915 \u0932\u0947\u0916\u0915 \u0928\u0947 \u092d\u0947\u091c\u0947 \u0925\u0947 \u0914\u0930 \u0907\u0938\u0928\u0947 \u0939\u092e\u0947\u0902 \u0938\u094b\u091a\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092e\u091c\u092c\u0942\u0930 \u0915\u0930 \u0926\u093f\u092f\u093e\u0964 \u0907\u0938 \u091a\u093f\u0924\u094d\u0930 \u0915\u094b \u0925\u094b\u095c\u0940 \u0926\u0947\u0930 \u0927\u094d\u092f\u093e\u0928 \u0938\u0947 \u0926\u0947\u0916\u0947\u0902\u2013 \u0915\u094d\u092f\u093e \u0935\u0930\u094d\u0917 \\(XYZB\\) \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u0926\u093f\u090f \u0917\u090f \u0935\u0930\u094d\u0917 \\(ABCD\\) \u0915\u0947 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u0915\u093e \u0906\u0927\u093e \u0939\u0948? \u0905\u0917\u0930 \u0910\u0938\u093e \u0939\u0948, \u0924\u094b \u0915\u094d\u092f\u094b\u0902? \u0906\u0917\u0947 \u0939\u092e \u0907\u0938\u0915\u0940 \u0935\u094d\u092f\u093e\u0916\u094d\u092f\u093e \u0915\u0930 \u0930\u0939\u0947 \u0939\u0948\u0902\u0964   <\/p>\n<\/div>\n<\/div>\n\n<p class=\"wp-block-paragraph\">\u0905\u0917\u0930 \u0939\u092e \u0907\u0938 \u0938\u092e\u0938\u094d\u092f\u093e \u0915\u094b \u0938\u0941\u0932\u091d\u093e\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0915\u092e\u094d\u092a\u094d\u092f\u0942\u091f\u0947\u0936\u0928\u0932 \u091a\u093f\u0928\u094d\u0924\u0928 \u0915\u093e \u0907\u0938\u094d\u0924\u0947\u092e\u093e\u0932 \u0915\u0930\u0947\u0902, \u0924\u094b \u0907\u0938\u0947 \u0938\u0941\u0932\u091d\u093e\u0928\u0947 \u0915\u093e \u092a\u0939\u0932\u093e \u091a\u0930\u0923 \u092f\u0939 \u0939\u094b\u0917\u093e : <\/p>\n\n<p class=\"wp-block-paragraph\"><strong>\u0938\u092e\u0938\u094d\u092f\u093e \u0915\u093e \u0915\u0925\u0928 : \u0915\u094d\u092f\u093e \u0935\u0930\u094d\u0917 \\(XYZB\\) \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u0926\u093f\u090f \u0917\u090f \u0935\u0930\u094d\u0917 \\(ABCD\\) \u0915\u0947 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u0915\u093e \u0906\u0927\u093e \u0939\u0948? \u0905\u0917\u0930 \u0910\u0938\u093e \u0939\u0948, \u0924\u094b \u0915\u094d\u092f\u094b\u0902? <\/strong><\/p>\n\n<p class=\"wp-block-paragraph\">\u0906\u0907\u090f \u0907\u0928 \u091a\u0930\u0923\u094b\u0902 \u0915\u094b \u091b\u094b\u091f\u0947-\u091b\u094b\u091f\u0947 \u091a\u0930\u0923\u094b\u0902 \u092e\u0947\u0902 \u0924\u094b\u0921\u093c\u0947 : \u0939\u092e\u0947\u0902 \u0926\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948 \u0915\u093f \\(QB\\) = \\(2\\) \u0907\u0915\u093e\u0907\u092f\u093e\u0901, \u0914\u0930 \\(PB\\) = \\(BS\\) = \\(1\\) \u0907\u0915\u093e\u0908 \u0939\u0948\u0964<\/p>\n\n<p class=\"wp-block-paragraph\">\u090f\u0915 \u0910\u0938\u093e \u0935\u0930\u094d\u0917 \u0926\u093f\u092f\u093e \u0939\u094b\u0928\u0947 \u092a\u0930, \u091c\u093f\u0938\u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \\(x\\) \u0935\u0930\u094d\u0917 \u0907\u0915\u093e\u0907\u092f\u093e\u0901 \u0939\u0948, \u0939\u092e \u090f\u0915 \u0910\u0938\u093e \u0935\u0930\u094d\u0917 \u092c\u0928\u093e\u0928\u093e \u091a\u093e\u0939\u0924\u0947 \u0939\u0948\u0902, \u091c\u093f\u0938\u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \\(\\frac{x}{2}\\) \u0935\u0930\u094d\u0917 \u0907\u0915\u093e\u0907\u092f\u093e\u0901 \u0939\u094b\u0964 \u0938\u0930\u0938\u0930\u0940 \u0928\u095b\u0930 \u0938\u0947 \u0926\u0947\u0916\u0928\u0947 \u092a\u0930 \u092a\u0924\u093e \u091a\u0932\u0924\u093e \u0939\u0948 \u0915\u093f \u092f\u0939 \u0915\u0941\u091b \u0935\u0948\u0938\u093e \u0939\u0940 \u0939\u0948 \u091c\u0948\u0938\u0947 \\(\\sqrt{x}\\) \u0907\u0915\u093e\u0907\u092f\u094b\u0902 \u0935\u093e\u0932\u093e \u090f\u0915 \u0930\u0947\u0916\u093e\u0916\u0923\u094d\u0921 \u0926\u093f\u092f\u093e \u0939\u094b\u0928\u0947 \u092a\u0930, \u0939\u092e \\(\\sqrt{\\frac{x}{2}}\\) \u0907\u0915\u093e\u0907\u092f\u094b\u0902 \u0935\u093e\u0932\u093e \u090f\u0915 \u0930\u0947\u0916\u093e\u0916\u0923\u094d\u0921 \u092c\u0928\u093e\u0928\u093e \u091a\u093e\u0939\u0924\u0947 \u0939\u094b\u0902\u0964<\/p>\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"wp-block-paragraph\"><strong>\u091a\u0930\u0923-1 :<\/strong> \u090f\u0915 \u0930\u0947\u0916\u093e l \u092a\u0930 \u0924\u0940\u0928 \u092c\u093f\u0928\u094d\u0926\u0941 P, B \u0914\u0930 Q \u0907\u0938 \u0924\u0930\u0939 \u0938\u0947 \u0905\u0915\u093f\u0902\u0924 \u0915\u0930\u0947\u0902, \u0924\u093e\u0915\u093f B \u092c\u093f\u0928\u094d\u0926\u0941 P \u0914\u0930 Q \u0915\u0947 \u092c\u0940\u091a \u092e\u0947\u0902 \u0938\u094d\u0925\u093f\u0924 \u0939\u094b \u0964 QB = 2 \u0907\u0915\u093e\u0907\u092f\u093e\u0901 \u0914\u0930 PB = 1 \u0907\u0915\u093e\u0908\u0964<br\/><strong>\u091a\u0930\u0923-2 :<\/strong> \u0939\u092e \u090f\u0915 \u0905\u0930\u094d\u0927\u0935\u0943\u0924\u094d\u0924 \\(\u03b1\\) \u092c\u0928\u093e\u090f\u0901\u0917\u0947, \u091c\u093f\u0938\u0915\u093e \u0935\u094d\u092f\u093e\u0938 PQ \u0939\u094b\u0917\u093e \u0964<br\/><strong>\u091a\u0930\u0923-3 :<\/strong> \u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f \u0915\u093f \u0930\u0947\u0916\u093e m, l \u092a\u0930 \u0932\u092e\u094d\u092c\u0935\u0924 \u0939\u0948 \u0914\u0930 B \u0938\u0947 \u0917\u095b\u0941\u0930\u0924\u0940 \u0939\u0948 \u0935 \\(\u03b1\\) \u0915\u094b R \u092a\u0930 \u0915\u093e\u091f\u0924\u0940 \u0939\u0948 (\u091a\u093f\u0924\u094d\u0930-2\u0926\u0947\u0916\u0947\u0902)\u0964<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"957\" height=\"702\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/09\/figure2.jpg\" alt=\"&#x91A;&#x93F;&#x924;&#x94D;&#x930;-2\" class=\"wp-image-15339\" srcset=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/09\/figure2.jpg 957w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/09\/figure2-491x360.jpg 491w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/09\/figure2-275x202.jpg 275w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/09\/figure2-768x563.jpg 768w\" sizes=\"auto, (max-width: 957px) 100vw, 957px\" \/><figcaption class=\"wp-element-caption\"> \u091a\u093f\u0924\u094d\u0930-2<\/figcaption><\/figure>\n<\/div>\n<\/div>\n\n<p class=\"wp-block-paragraph\">BR \u0915\u094d\u092f\u093e \u0939\u094b\u0917\u093e?<\/p>\n\n<p class=\"wp-block-paragraph\">\u0938\u092e\u0915\u094b\u0923\u0940\u092f \u0938\u0947 \\(\\triangle PBR, PR^{2} = PB^{2} + RB^{2}.\\)<br\/>\u0938\u092e\u0915\u094b\u0923\u0940\u092f \\(\\triangle RBQ, QR^{2} = RB^{2} +BQ^{2}\\) .<br\/>\u0938\u092e\u0915\u094b\u0923\u0940\u092f \\(\\triangle PRQ, PQ^{2} = PR^{2} + RQ^{2}.\\)<br\/>(\u0927\u094d\u092f\u093e\u0928 \u0926\u0947\u0902 \u0915\u093f \u0905\u0930\u094d\u0927\u0935\u0943\u0924\u094d\u0924 \u092e\u0947\u0902 \\(\\angle PRQ\\) \u090f\u0915 \u0938\u092e\u0915\u094b\u0923 \u0939\u0948)\u0964 \u0907\u0928 \u0924\u0940\u0928 \u0938\u092e\u0940\u0915\u0930\u0923\u094b\u0902 \u0915\u093e \u0907\u0938\u094d\u0924\u0947\u092e\u093e\u0932 \u0915\u0930\u0915\u0947, \u0939\u092e \u0907\u0938 \u0924\u0925\u094d\u092f \u0924\u0915 \u092a\u0939\u0941\u0901\u091a\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \\(BR = \\sqrt{2}\\) \u0939\u0948\u0964  <\/p>\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"wp-block-paragraph\"><strong>\u091a\u0930\u0923-4<\/strong> : l \u0915\u0947 \u0926\u0942\u0938\u0930\u0940 \u0924\u0930\u095e \u0930\u0947\u0916\u093e m \u092a\u0930 \u092c\u093f\u0928\u094d\u0926\u0941 \\(S\\) \u0907\u0938 \u0924\u0930\u0939 \u0938\u0947 \u0905\u0902\u0915\u093f\u0924 \u0915\u0930\u0947\u0902 \u0924\u093e\u0915\u093f \\(BS\\) = \\(1\\) \u0907\u0915\u093e\u0908 \u0939\u094b (\u091a\u093f\u0924\u094d\u0930-3 \u0926\u0947\u0916\u0947\u0902)<br\/><strong>\u091a\u0930\u0923-5 :<\/strong> \u0930\u0947\u0916\u093e l \u0915\u0947 \u0938\u092e\u093e\u0928\u093e\u0928\u094d\u0924\u0930 \u0930\u0947\u0916\u093e \\(\\alpha\\) \u092c\u0928\u093e\u090f\u0901, \u091c\u094b \\(R\\) \u0938\u0947 \u0917\u0941\u095b\u0930\u0924\u0940 \u0939\u094b, \u0914\u0930 \u0930\u0947\u0916\u093e l \u0915\u0947 \u0938\u092e\u093e\u0928\u093e\u0928\u094d\u0924\u0930 \u0930\u0947\u0916\u093e \\(b\\) \u092c\u0928\u093e\u090f\u0901, \u091c\u094b \\(S\\) \u0938\u0947 \u0917\u0941\u095b\u0930\u0924\u0940 \u0939\u094b\u0964<br\/><strong>\u091a\u0930\u0923-6 :<\/strong> \u0930\u0947\u0916\u093e \\(\\alpha\\) \u092a\u0930 \u0915\u094b\u0908 \u092c\u093f\u0928\u094d\u0926\u0941 \\(A\\) \u091a\u0941\u0928\u0947\u0902 \u0914\u0930 \u0930\u0947\u0916\u093e \\(c\\) \u0915\u0947 \u092e\u093e\u0927\u094d\u092f\u092e \u0938\u0947 \u092c\u093f\u0928\u094d\u0926\u0941 \\(B\\) \u0914\u0930 \\(A\\) \u0915\u094b \u092e\u093f\u0932\u093e\u090f\u0901\u0964 \u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f \u0915\u093f \u0930\u0947\u0916\u093e \\(c\\), \\(b\\) \u0915\u094b \\(X\\) \u092a\u0930 \u0915\u093e\u091f\u0924\u0940 \u0939\u0948\u0964 <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0905\u092c \\(\\triangle ARB\\) \u0914\u0930 \\(\\triangle XBS\\) \u090f\u0915 \u0938\u092e\u093e\u0928 (\u0938\u092e\u0930\u0942\u092a) \u0939\u0948\u0902\u0964 \u0924\u094b, \u0905\u0917\u0930 \\(AB\\) = \\(\\sqrt {x}\\) \u0907\u0915\u093e\u0907\u092f\u093e\u0901 \u0939\u0948, \u0924\u094b \\(BX\\) = \\(\\sqrt{\\frac{x}{2}}\\) \u0907\u0915\u093e\u0907\u092f\u093e\u0901 \u0939\u094b\u0917\u093e\u0964     <\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"881\" height=\"821\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/09\/figure3-1.jpg\" alt=\"&#x91A;&#x93F;&#x924;&#x94D;&#x930;-3\" class=\"wp-image-15401\" srcset=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/09\/figure3-1.jpg 881w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/09\/figure3-1-386x360.jpg 386w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/09\/figure3-1-773x720.jpg 773w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/09\/figure3-1-217x202.jpg 217w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/09\/figure3-1-768x716.jpg 768w\" sizes=\"auto, (max-width: 881px) 100vw, 881px\" \/><figcaption class=\"wp-element-caption\"> \u091a\u093f\u0924\u094d\u0930-3<\/figcaption><\/figure>\n<\/div>\n<\/div>\n\n<p class=\"wp-block-paragraph\">\u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930, \u0905\u0917\u0930 \u0939\u092e \u090f\u0915 \u0935\u0930\u094d\u0917 \u092c\u0928\u093e\u090f\u0901 \u091c\u093f\u0938\u0915\u0940 \u090f\u0915 \u092d\u0941\u091c\u093e \u0938\u092e\u094d\u092e\u093f\u0932\u093f\u0924 \u0930\u0942\u092a \u0938\u0947 \\(AB\\) \u0914\u0930 \\(XB\\) \u0939\u094b\u0902, \u0924\u094b \u0905\u0928\u093f\u0935\u093e\u0930\u094d\u092f \u0924\u094c\u0930 \u092a\u0930 \u0939\u092e\u093e\u0930\u0947 \u092a\u093e\u0938 \\(AB\\) \u092d\u0941\u091c\u093e \u0935\u093e\u0932\u093e \u0935\u0930\u094d\u0917 \u0939\u094b\u0928\u093e \u091a\u093e\u0939\u093f\u090f, \u091c\u094b \\(XB\\) \u092d\u0941\u091c\u093e \u0935\u093e\u0932\u0947 \u0935\u0930\u094d\u0917 \u0915\u0947 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u0915\u093e \u0926\u094b\u0917\u0941\u0928\u093e \u0939\u094b\u0917\u093e\u0964 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930, \u0938\u092e\u093e\u0927\u093e\u0928 \u0915\u094b \u091b\u094b\u091f\u0947-\u091b\u094b\u091f\u0947 \u091a\u0930\u0923\u094b\u0902 \u092e\u0947\u0902 \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u0930\u0915\u0947, \u0939\u092e \u092f\u0939 \u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937 \u0928\u093f\u0915\u093e\u0932\u0947\u0902\u0917\u0947 \u0915\u093f \u0935\u0930\u094d\u0917 \\(XYZB\\) \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u0905\u0938\u0932 \u092e\u0947\u0902 \u0926\u093f\u090f \u0917\u090f \u0935\u0930\u094d\u0917 \\(ABCD\\) \u0915\u0947 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u0915\u093e \u0906\u0927\u093e \u0939\u0948\u0964<\/p>\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"wp-block-paragraph\">\u092a\u093e\u0920\u0915\u094b\u0902 \u0928\u0947 \u092f\u0939 \u091c\u093e\u0928 \u0939\u0940 \u0932\u093f\u092f\u093e \u0939\u094b\u0917\u093e \u0915\u093f \u0935\u0930\u094d\u0917 \u092c\u0928\u093e\u0928\u0947 \u0915\u0947 \u0914\u0930 \u092d\u0940 \u0938\u0930\u0932 \u0924\u0930\u0940\u0915\u0947 \u0939\u0948\u0902, \u091c\u094b \u0926\u093f\u090f \u0917\u090f \u0935\u0930\u094d\u0917 \u0915\u0947 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u0915\u094b \u0906\u0927\u093e \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902, \u091c\u0948\u0938\u0947 \u0915\u093f \u091a\u093f\u0924\u094d\u0930-4 \u092e\u0947\u0902 \u0926\u093f\u0916\u093e\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964 \u092f\u0939\u093e\u0901 ABCD \u090f\u0915 \u0926\u093f\u092f\u093e \u0917\u092f\u093e \u0935\u0930\u094d\u0917 \u0939\u0948, \u0914\u0930 P, Q, R \u0914\u0930 S \u0915\u094d\u0930\u092e\u0936\u0903 \u092d\u0941\u091c\u093e\u0913\u0902 AB, BC, CD \u0914\u0930 DA \u0915\u0947 \u092e\u0927\u094d\u092f \u092c\u093f\u0928\u094d\u0926\u0941 \u0939\u0948\u0902\u0964 \u0939\u093e\u0932\u093e\u0901\u0915\u093f, BQ = 2 \u0915\u0940 \u092c\u091c\u093e\u090f n \u0932\u0947\u0915\u0930, \u0926\u093f\u090f \u0917\u090f \u0935\u0930\u094d\u0917 \u0915\u0947 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u0915\u0947 \\(\\frac{1}{n}\\) \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u0935\u093e\u0932\u093e \u0935\u0930\u094d\u0917 \u092c\u0928\u093e\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u090a\u092a\u0930 \u092c\u0928\u093e\u0908 \u0917\u0908 \u0906\u0915\u0943\u0924\u093f \u0915\u093e \u0935\u093f\u0938\u094d\u0924\u093e\u0930 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948 (\u0928\u0940\u091a\u0947 \u0938\u0935\u093e\u0932 1 \u0926\u0947\u0916\u0947\u0902)\u0964  <\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"584\" height=\"579\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/09\/figure4.jpg\" alt=\"&#x91A;&#x93F;&#x924;&#x94D;&#x930;-4\" class=\"wp-image-15346\" srcset=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/09\/figure4.jpg 584w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/09\/figure4-363x360.jpg 363w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/09\/figure4-204x202.jpg 204w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/09\/figure4-150x150.jpg 150w\" sizes=\"auto, (max-width: 584px) 100vw, 584px\" \/><figcaption class=\"wp-element-caption\">\u091a\u093f\u0924\u094d\u0930-4<\/figcaption><\/figure>\n<\/div>\n<\/div>\n\n<p class=\"wp-block-paragraph\">\u0915\u093f\u0938\u0940 \u0935\u0930\u094d\u0917 \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u0906\u0927\u093e \u0915\u0930\u0928\u0947 \u0924\u0915 \u0939\u0940 \u0915\u094d\u092f\u094b\u0902 \u0930\u0941\u0915\u0947\u0902? \u0939\u092e\u093e\u0930\u093e \u0926\u093e\u0935\u093e \u0939\u0948 \u0915\u093f \u0907\u0938 \u0928\u093f\u0930\u094d\u092e\u093e\u0923 \u0938\u0947 \u0914\u0930 \u092d\u0940 \u092c\u0939\u0941\u0924 \u0915\u0941\u091b \u0939\u093e\u0938\u093f\u0932 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948! \u0939\u092e \u092a\u093e\u0920\u0915\u094b\u0902 \u0915\u0947 \u0906\u095b\u092e\u093e\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092f\u0939\u093e\u0901 \u0915\u0941\u091b \u0938\u0935\u093e\u0932 \u092a\u094d\u0930\u0938\u094d\u0924\u0941\u0924 \u0915\u0930 \u0930\u0939\u0947 \u0939\u0948\u0902\u0964  <\/p>\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<h2 class=\"wp-block-heading\">\u0938\u0935\u093e\u0932<\/h2>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u0905\u0917\u0930 \u0939\u092e \u092e\u093e\u0928 \u0932\u0947\u0902 \u0915\u093f BQ = n \u0907\u0915\u093e\u0907\u092f\u093e\u0901 \u0939\u0948, \u0924\u094b BR \u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 \u0915\u094d\u092f\u093e \u0939\u094b\u0917\u0940? BX \u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 \u0915\u094d\u092f\u093e \u0939\u094b\u0917\u0940? ABCD \u0914\u0930 XYZB \u0915\u0947 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u0915\u094d\u092f\u093e \u0939\u0948?  <\/li>\n<\/ol>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"924\" height=\"795\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/09\/figure5.jpg\" alt=\"&#x91A;&#x93F;&#x924;&#x94D;&#x930;-5\" class=\"wp-image-15349\" srcset=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/09\/figure5.jpg 924w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/09\/figure5-418x360.jpg 418w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/09\/figure5-837x720.jpg 837w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/09\/figure5-235x202.jpg 235w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/09\/figure5-768x661.jpg 768w\" sizes=\"auto, (max-width: 924px) 100vw, 924px\" \/><figcaption class=\"wp-element-caption\"> \u091a\u093f\u0924\u094d\u0930-5<\/figcaption><\/figure>\n<\/div>\n<\/div>\n\n<ol start=\"2\" class=\"wp-block-list\">\n<li>\u090a\u092a\u0930 \u092c\u0928\u093e\u0908 \u0917\u0908 \u0906\u0915\u0943\u0924\u093f \u0924\u092d\u0940 \u0938\u0939\u0940 \u0915\u0939\u0932\u093e\u090f\u0917\u0940 \u091c\u092c \u092d\u0941\u091c\u093e AB \u092f\u093e \u0924\u094b BR \u0915\u0947 \u092c\u0930\u093e\u092c\u0930 \u0939\u094b \u092f\u093e \u092b\u093f\u0930 \u0909\u0938\u0938\u0947 \u095b\u094d\u092f\u093e\u0926\u093e \u0939\u094b \u0964 \u0915\u094d\u092f\u093e \u0939\u094b\u0917\u093e \u0905\u0917\u0930 AB &lt; BR? \u0907\u0938 \u0938\u092e\u094d\u092d\u093e\u0935\u0928\u093e \u0915\u0947 \u0905\u0928\u0941\u0938\u093e\u0930 \u090a\u092a\u0930 \u0928\u093f\u0930\u094d\u092e\u093f\u0924 \u0906\u0915\u0943\u0924\u093f \u092e\u0947\u0902 \u0925\u094b\u095c\u093e \u092c\u0939\u0941\u0924 \u092c\u0926\u0932\u093e\u0935 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948 (\u091a\u093f\u0924\u094d\u0930-5)\u0964 \u092c\u0924\u093e\u090f\u0901 \u0915\u093f \u090a\u092a\u0930 \u0928\u093f\u0930\u094d\u092e\u093f\u0924 \u0906\u0915\u0943\u0924\u093f \u0938\u0939\u0940 \u0915\u094d\u092f\u094b\u0902 \u0939\u094b\u0917\u0940 \u0964 \u092f\u0939\u093e\u0901 \\(\u03b2\\) \u090f\u0915 \u0905\u0930\u094d\u0927\u0935\u0943\u0924\u094d\u0924 \u0939\u0948, \u091c\u094b \u092c\u093f\u0928\u094d\u0926\u0941 B \u0914\u0930 R \u0915\u094b \u091c\u094b\u095c \u0930\u0939\u093e \u0939\u0948, \u0914\u0930 \\(\u03b3\\) \u090f\u0915 \u0914\u0930 \u0905\u0930\u094d\u0927\u0935\u0943\u0924\u094d\u0924 \u0939\u0948, \u091c\u094b \u092c\u093f\u0928\u094d\u0926\u0941\u0913 B \u0914\u0930 S \u0915\u094b \u091c\u094b\u095c \u0930\u0939\u093e \u0939\u0948\u0964    <\/li>\n\n\n\n<li> \u0905\u0917\u0930 \u0939\u092e \u090f\u0915 \u0938\u092e\u092c\u093e\u0939\u0941 \u0924\u094d\u0930\u093f\u092d\u0941\u091c, \u090f\u0915 \u0928\u093f\u092f\u092e\u093f\u0924 \u0937\u091f\u094d\u0915\u094b\u0923, \u090f\u0915 \u0928\u093f\u092f\u092e\u093f\u0924 13-\u0917\u0949\u0928, \u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u0915\u0947 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u0915\u094b \u0906\u0927\u093e \u0915\u0930\u0928\u093e \u091a\u093e\u0939\u0924\u0947 \u0939\u0948\u0902, \u0924\u094b \u0915\u094d\u092f\u093e \u090a\u092a\u0930 \u0928\u093f\u0930\u094d\u092e\u093f\u0924 \u0906\u0915\u0943\u0924\u093f\u092f\u093e\u0901 \u0915\u093e\u092e \u0915\u0930\u0947\u0902\u0917\u0940?   <\/li>\n\n\n\n<li>\u090f\u0915 \u0926\u094d\u0935\u093f-\u0906\u092f\u093e\u092e\u0940 (2D) \u0906\u0915\u0943\u0924\u093f \u0926\u0940 \u0939\u094b\u0928\u0947 \u092a\u0930, \u0915\u094d\u092f\u093e \u0906\u092a \u0915\u0939 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \u090a\u092a\u0930 \u0928\u093f\u0930\u094d\u092e\u093f\u0924 \u0906\u0915\u0943\u0924\u093f\u092f\u094b\u0902 \u0938\u0947 \u090f\u0915 \u0910\u0938\u0940 \u0906\u0915\u0943\u0924\u093f \u092c\u0928 \u0938\u0915\u0924\u0940 \u0939\u0948, \u091c\u094b \u0926\u0940 \u0917\u0908 \u0906\u0915\u0943\u0924\u093f \u0915\u0947 \u091c\u0948\u0938\u0940 \u0939\u094b \u0914\u0930 \u0909\u0938\u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u0926\u0940 \u0917\u0908 \u0906\u0915\u0943\u0924\u093f \u0915\u0947 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u0915\u093e 1<em>\/n<\/em> \u0939\u094b?<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>\u0928\u0940\u091a\u0947 \u0926\u0940 \u0917\u0908 \u0906\u0915\u0943\u0924\u093f \u092e\u0947\u0902, \u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f \u0915\u093f \u090f\u0915 \u0935\u0930\u094d\u0917 \u092f\u093e \u0917\u092f\u093e \u0939\u0948 (\u091c\u093f\u0938\u0915\u0940 \u092d\u0941\u091c\u093e \u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 \u0939\u092e\u0947\u0902 \u092e\u093e\u0932\u0942\u092e \u0928\u0939\u0940\u0902 \u0939\u0948)\u0964 \u092e\u093e\u0928\u093e \u0915\u093f = = \u0907\u0915\u093e\u0908, \u0914\u0930 = \u0907\u0915\u093e\u0907\u092f\u093e\u0901 \u0939\u0948\u0964 \u092e\u093e\u0928\u093e \u0915\u093f \u090f\u0915 \u0905\u0930\u094d\u0927\u0935\u0943\u0924\u094d\u0924 (semicircle) \u0939\u0948, \u091c\u094b \u092c\u093f\u0928\u094d\u0926\u0941\u0913\u0902 \u0914\u0930 \u0938\u0947 \u0917\u0941\u095b\u0930 \u0930\u0939\u093e \u0939\u0948\u0964 \u0924\u092c, \u0935\u0930\u094d\u0917 \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u0935\u0930\u094d\u0917 \u0915\u0947 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u0915\u093e \u0906\u0927\u093e \u0939\u094b\u0928\u093e \u091a\u093e\u0939\u093f\u090f\u0964 \u092f\u0939 [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":28283,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_wpcom_ai_launchpad_first_post":false,"footnotes":"","jetpack_post_was_ever_published":false},"categories":[239],"tags":[1081,259,472],"stage-class":[],"magazine_category":[287],"class_list":["post-11910","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category---hi","tag-fractional-areas","tag-259","tag-472","magazine_category--20--2024"],"acf":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/09\/Constructing-a-Square-thumbnail.png","_links":{"self":[{"href":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/hi\/wp-json\/wp\/v2\/posts\/11910","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/hi\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/hi\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/hi\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/hi\/wp-json\/wp\/v2\/comments?post=11910"}],"version-history":[{"count":1,"href":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/hi\/wp-json\/wp\/v2\/posts\/11910\/revisions"}],"predecessor-version":[{"id":23779,"href":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/hi\/wp-json\/wp\/v2\/posts\/11910\/revisions\/23779"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/hi\/wp-json\/wp\/v2\/media\/28283"}],"wp:attachment":[{"href":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/hi\/wp-json\/wp\/v2\/media?parent=11910"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/hi\/wp-json\/wp\/v2\/categories?post=11910"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/hi\/wp-json\/wp\/v2\/tags?post=11910"},{"taxonomy":"stage-class","embeddable":true,"href":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/hi\/wp-json\/wp\/v2\/stage-class?post=11910"},{"taxonomy":"magazine_category","embeddable":true,"href":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/hi\/wp-json\/wp\/v2\/magazine_category?post=11910"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}