The coordinates of the point `Aa n dB` 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`

The coordinates of three points O, A, B are (0, 0), (0,4) and (6, 0) respectively. A point P moves so that the area of Delta POA is always twice the area of Delta POB . Find the equation to both parts of the locus of P.

If A and B be the points (3,4,5) and (-1,3,-7) respectively find the equation of set of ponts P such that PA^2+PB^2=k^2, where k is a constant.

A and B are two given points whose coordinates are (-5, 3) and (2, 4) respectively. A point P moves in such a manner that PA : PB = 3:2 . Find the equation to the locus traed out by P .

A and B are two given points whose co- ordinates are (-5,3) and (2,4) respectively. A point P moves in such a manner that PA:PB=3:2. Find the equation to the locus traced out by P.

If A(1,3) and B(2,1) are points,find the equation of the locus of point P such that PA=PB

If the coordinates of points A and B are (-2, -2) and (2, -4) respectively, find the coordinates of the point P such that AP = (3)/(7)AB , where P lies on the line segment AB.

If A and B be the points (3," "4," "5) and (1," "3," "7) , respectively, find the equation of the set of points P such that P A^2+P B^2=k^2 , where k is a constant.

The angle between a pair of tangents from a point P to the circle x^(2)+y^(2)=25 is (pi)/(3). Find the equation of the locus of the point P .

The coordinates of a moving point P are (at^(2),2at), whereis a variable parameter.Find the equation to the locus of P.

Find the equation of the locus of the point P equidistant from the points (-3,2),(0,4)