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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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Application +4 | -1
If A,  A1,A2,  A3A,\;{A_1},{A_2},\;{A_3} be the areas of the incircle and excircles, then 1A1+1A2+1A3\frac{1}{{\sqrt {{A_1}} }} + \frac{1}{{\sqrt {{A_2}} }} + \frac{1}{{\sqrt {{A_3}} }} is equal to
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Correct option: A
1A\frac{1}{{\sqrt A }}
Option A 1A\frac{1}{{\sqrt A }} is correct because it is derived from the relationship between the inradius, exradii, and the area of the triangle.

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