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 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

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

If a tangent to the circle x^(2)+y^(2)=1 intersects the coordinate axes at distinct point P and Q. then the locus of the mid- point of PQ is

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

P is any point on the auxililary circle of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and Q is its corresponding point on the ellipse. Find the locus of the point which divides PQ in the ratio of 1:2 .

What is the locus of a point of a plane, which is at a distance of p units from the circle of radius q units (p = q) ?

If a tangent to the circle x^(2)+y^(2)=1 intersects the coordinate axes at distinct points P and Q, then the locus of the mid-point of PQ is :

A tangent at a point on the circle x^(2)+y^(2)=a^(2) intersects a concentric circle C at two points P and Q. The tangents to the circle X at P and Q meet at a point on the circle x^(2)+y^(2)=b^(2). Then the equation of the circle is x^(2)+y^(2)=abx^(2)+y^(2)=(a-b)^(2)x^(2)+y^(2)=(a+b)^(2)x^(2)+y^(2)=a^(2)+b^(2)

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.