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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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Application +4 | -1
In a △ABC\triangle A B C, let ∠C=π2\angle C=\frac{\pi}{2}, if rr is the inradius and RR is the circumradius of the △ABC\triangle A B C, then 2(r+R)2(r+R) equals
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Correct option: C
a+ba+b
Option C (a+ba+b) is correct because in a right-angled triangle, 2(r+R)=a+b2(r+R) = a+b can be derived using the relationships between inradius, circumradius, and side lengths.

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