P is a variable point on a circle C and R is a fixed point on PQ dividing it in the ratio `p:q`, where `p>0 and q>0` are fixed. Then the locus of R is

Let P be a variable point on a circle C and Q be a fixed point outside C. If R is the midpoint of the line segment PQ, then locus of R is

A (2, 3) is a fixed point and Q(3 cos theta, 2 sin theta) a variable point. If P divides AQ internally in the ratio 3:1, find the locus of P.

A (2, 3) is a fixed point and Q(3 cos theta, 2 sin theta) a variable point. If P divides AQ internally in the ratio 3:1, find the locus of P.

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

If P, Q, R are 3 points on a line and Q lies between P and R, then prove that PQ=PR+RQ

If P is the point (1,0) and Q is any point on the parabola y^(2) = 8x then the locus of mid - point of PQ is

If R is any point on the x-axis and Q is any point on they y-axis and P is a variable point on RQ with RP=b, PQ=a, then find the equation of locus of P.