`A B` is a variable line sliding between the coordinate axes in such a way that `A` lies on the x-axis and `B` lies on the y-axis. If `P` is a variable point on `A B` such that `P A=b ,P b=a` , and `A B=a+b ,` find the equation of the locus of `Pdot`

A point P lies on the x-axis and another point Q lies on the y-axis. Write the ordinate of point P.

A rod A B of length 15c m rests in between two coordinate axes in such a way that the end point A lies on x- axis and end point B lies on y -axis . A point is taken on the rod in such a way that A P=6c m . Show that the locus of P is an ellipse. Also find its eccentricity.

If A and B are two fixed points and P is a variable point such that PA + PB = 4 , the locus of P is

State, true or false: The point (a,b) lies on the y-axis if b=0.

A point P lies on x-axis and another point Q lies on y-axis. Write the ordinate of the point P.

The coordinates of the point A and B are (a,0) and (-a ,0), respectively. If a point P moves so that P A^2-P B^2=2k^2, when k is constant, then find the equation to the locus of the point Pdot

If the coordinates of a variable point P are (acostheta,bsintheta), where theta is a variable quantity, then find the locus of Pdot

If the coordinates of a variable point P are (acostheta,bsintheta), where theta is a variable quantity, then find the locus of Pdot

The coordinates of the point A and B are (a,0) and (-a ,0), respectively. If a point P moves so that P A^2-P B^2=2k^2, when k is constant, then find the equation to the locus of the point P .

If A and B are (2,""2)" "a n d" "(2,""4) , respectively, find the coordinates of P such that A P=3/7 A B and P lies on the line segment AB.