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JEE Advance - Mathematics (2000 - No. 28)

In a triangle $$ABC$$, let $$\angle C = {\pi \over 2}$$. If $$r$$ is the inradius and $$R$$ is the circumradius of the triangle, then $$2(r+R)$$ is equal to
$$a+b$$
$$b+c$$
$$c+a$$
$$a+b+c$$

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