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In the adjoining figure, AB is the chord of the larger circle touching the smaller circle. The centre of both the circles is O. If AB = $2r$ and OP = $r$, then the radius of larger circle is :

- (a)$2r$
- (b)$3r$
- (c)$2\sqrt{2}r$
- (d)$\sqrt{2}r$
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(d) $\sqrt{2}r$