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C(1) and C(2) are two concentric circles...

`C_(1)` and `C_(2)` are two concentric circles, the radius of `C_(2)` being twice that of `C_(1)`. From a point P on `C_(2)`, tangents PA and PB are drawn to `C_(1)`. Prove that the centroid of triangle PAB lies on `C_(1)`.

A

Centroid of `trianglePQR` lies on `C_(1)`

B

`Orthocentre of `trianglePQR` lies on `C_(1)`

C

If radius of `C_(1)` is `sqrt(3)` then area of `trianglePQR` is `(9sqrt(3))/(4)` sq. units

D

If radius of `C_(1)` is `sqrt(3)` then area of `trianglePQR` is `(27)/(4)` sq. units

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