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 traced out by `P`.

If A and B are two points having coordinates (-2,\ -2) and (2,\ 4) respectively, find the coordinates of P such that A P=3/7A B .

A and B are two fixed points whose coordinates (3, 2) and (5, 4) respectively. The coordinates of a poin if ABP is an equilateral triangle, are

Two points A and B with co-ordinates (5, 3), (3, -2) are given. A point P moves so that the area of DeltaPAB is constant and equal to 9 square units. Find the equation to the locus of the point P.

A(2, 0) and B(4, 0) are two given points. A point P moves so that P A 2 + P B 2 = 10 . Find the locus of 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 P .

A(2, 0) and B(4, 0) are two given points. A point P moves so that PA^(2)+PB^(2)=10 . Find the locus of 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

The co-ordinates of two points P and Q are (2, 6) and (-3, 5) respectively. Find : the equation of PQ

A(1,2),B(2,- 3),C(-2,3) are 3 points. A point P moves such that PA^(2)+PB^(2)=2PC^(2) . Show that the equation to the locus of P is 7 x - 7y + 4 = 0 .

A (a,0) , B (-a,0) are two points . If a point P moves such that anglePAB - anglePBA = pi//2 then find the locus of P.