`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 is any point on X -axis and B is any point of Y- axis and P is a variable point on AB with PA=b and PB=a and AB=a+b. Find the equation of locus of P

A rod AB of length 15cm 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 P(x,y) is taken on the rod in such a way that AP=6cm. Show that the locus of P is an ellipse.

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

A rod AB of length 15cm 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 AP=6cm. Show that the locus of P is an ellipse.Also find its eccentricity.

If the mid point between the points (a+b, a-b) and (-a, b) lies on the line ax+by=k , what is k equal to ?

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 the point (-1,2), a variable line through P cuts the x & y axes at A&B respectively Q is the point on AB such that PA, PQ, PB are H.P. Find the locus of Q