Let `A = (-2,0) and B = (1,0) and P` is a variable point such that `/_APB = 60^@.` Prove analytically that the locus of P is a circle. Find its radius and centre.

A and B are two fixed points on a plane and P moves on the plane in such a way that PA : PB = constant. Prove analytically that the locus of P is a circle.

A(3, 0) and B(-3, 0) are two given points and P is a moving point : if bar(AP) = 2bar(BP) for all positions of P, show that the locus of P is a circle. Find the radius of the circle.

A ( 2, 3 ) , B ( - 1, 1 ) are two points . If P is a point such that angle APB = 90 ^@ , then the locus of P is

A=(-9,0) and B=(-1,0) are two points. If P(x, y) is a point such that 3 P B=P A , then the locus of P is

A(4,0) and B(-4,0) are two given points.A variable point P is such that PA+PB=10 .Show that the equation of locus of P is x^2/25+y^2/9=1

A(2 ,3) ,B(-1, 1) are two points.If P is a point such that /_APB=90^(@) and the locus of P is x^(2)+y^(2)-ax-by+1=0 then |a+b| is equal to

Let A and B be two points. What is the locus of the point P such that angle APB=90^@