`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.

The line joining (5,0) to (10cos theta,10sin theta) is divided internally in the ratio 2:3 at P then the locus of P is

A variable line through the point ((6)/(5),(6)/(5)) cuts the coordinate axes at the points A and B respectively. If the point P divides AB internally in the ratio 2:1 , then the equation of the locus of P is

The point (10/7,33/7) divides P(1, 3) and Q(2,7) internally in the ratio :

If the point R divides the line segment joining the point (2, 3) and (2 tan theta, 3 sec theta), 0 lt theta lt (pi)/(2) internally in the ratio 2 :3 , then the locus of R is

If the coordinates of a variable point P be (a cos theta, b sin theta) , where theta is a variable quantity, find the locus of P .

If the coordinates of a variable point P are (a cos theta,b sin theta), where theta is a variable quantity,then find the locus of P.

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

If point P(3,2) divides the line segment AB internally in the ratio of 3:2 and point Q(-2,3) divides AB externally in the ratio 4:3 then find the coordinates of points A and B.