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Let Q be a point on the circle B : x ^(2...

Let Q be a point on the circle `B : x ^(2) + y ^(2)=a ^(2)` and p(h,k) be a fixed point. If the locus of the point which divides the join of P and Q in the ratio p:q is a circle C, then the centre of C is

A

`((p+q)/(P), (p+q)/(q))`

B

`((hp + kq)/(p), (hp + kq)/(q))`

C

`((hq)/(p +q), (kq)/(p +q))`

D

`((hq)/(p+q), (kq)/(p +q))`

Text Solution

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The correct Answer is:
D
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