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

The locus of the 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

The locus of a point which divides the line segment joining the point (0, -1) and a point on the parabola, x^(2) = 4y internally in the ratio 1: 2, is:

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 radius of C is

The locus of a point P which divides the line joining (1,0) and (2 costheta, 2 sintheta) intermally in the ratio 1:2 for all theta . is

The locus of a point P which divides the line joining (1, 0) and (2 cos theta, sin theta) internally in the ratio 2 : 3 for all theta is

Find the coordinates of a point which divides the join of P(2,-1,4) and Q(4,3,2) in the ratio 2: 3 internally.