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

Line segment joining (5, 0) and (10 costheta,10 sintheta) is divided by a point P in ratio 2 : 3 If theta varies then locus of P is a ; A) Pair of straight lines C) Straight line B) Circle D) Parabola

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

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

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

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.

5. sin p theta+sin q theta=0

Let P(3,6),Q(3cos theta,3sin theta),R(3sin theta,-3cos theta) then the locus of centroid of PQR is