1.

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

Answer»

<P>`((p+q)/(P), (p+q)/(q))`
`((HP + kq)/(p), (hp + kq)/(q))`
`((HQ)/(p +q), (kq)/(p +q))`
`((hq)/(p+q), (kq)/(p +q))`

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