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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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In any △ABC,1r12+1r22+1r32+1r2\triangle A B C, \frac{1}{r_1^2}+\frac{1}{r_2^2}+\frac{1}{r_3^2}+\frac{1}{r^2} is equal to
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Correct option: B
a2+b2+c2Δ2\frac{a^2+b^2+c^2}{\Delta^2}
Option B (a2+b2+c2Δ2\frac{a^2+b^2+c^2}{\Delta^2}) is correct because the given expression simplifies to this form using the properties of exradii and inradius.

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