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 coordinates of a point which divides the join of points (3, 3, 7) and (8, 3, 1) internally in the ratio 2 : 1 is

The locus of mid-points of the segments joining (-3, -5) and the points on the ellipse (x^(2))/(4) + (y^(2))/(9) = 1 is :

If P is the middle point of the straight line joining a given point A (1, 2) and Q , where Q is a variable point on the curve x^2 + y^2 + x + y=0 . Find the locus of P .

Find the coordinates of the point which divides the join of the points P(5,4,-2) and Q(-1,-2,4) in the ratio 2:3

What is the ratio in which point P(1, 2) divides the join of A(-2, 1) and B(7,4)?