Question

The locus of a point which divides the join of A(-1, 1) and a variable point P on the circle $x^2+y^2=4$ in the ratio 3:2, is

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

Suppose a point on circle is $B(x_1,y_1)$ and that which divides A and B in 3:2 is P given by

$h=\frac{-2+3x_1}{5},k=\frac{2+3y_1}{5}or\frac{5h+2}{3}=x_1,\frac{5k-2}{3}=y_1$

As $(x_1,y_1)$ lies on circle $x^2+y^2=4$, we get on substituting, $25(x^2+y^2)+20(x-y)-28=0$.