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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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Analyzing +4 | -1
If twice the square of the diameter of a circle is equal to half the sum of the squares of the sides of incribed triangle ABCABC, then sin⁡2A+sin⁡2B+sin⁡2C{\sin ^2}A + \sin^2 B+ {\sin ^2}C is equal to
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Correct option: C
4
Option C (4) is correct because the given condition leads to the relationship sin⁡2A+sin⁡2B+sin⁡2C=4{\sin ^2}A + {\sin ^2}B+ {\sin ^2}C = 4.

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