A and A’ be the points (5, 0) and (-5, 0) respectively. Find the equation of the set of all points P(x, y) such that | AP |-1 A’P | = 6.

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 PA^2 + PB^2 = k^2 , where k is a constant.

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

Find the Sum of 5th term of A.P if a=1 , d=2

Find the image of the point P (3, 5, 7) in the plane 2x + y + z=0 .

Let A (4, 2), B (6, 5) and C (1, 4) be the vertices of triangleABC . :- Find the coordinates of the point P on AD such that AP : PD = 2:1

For a point P in the plane, let d_(1)(P) " and " d_(2)(P) be the distance of the point P from the lines x-y=0 and x+y=0, respectively. The area of the region R consisting of all points P lying in the first quadrant of the plane and satisfying 2 le d_(1)(P) +d_(2)(P) le 4, is_____.

Find the equation of the set of points P, the sum of whose distance from A(4,0,0) and B(-4,0,0) is equal to 10.

Consider the points A(0,1)a n dB(2,0),a n dP be a point on the line 4x+3y+9=0 . The coordinates of P such that |P A-P B| is maximum are

Find the equation of a line passing through the point (0,1) and parallel to : 3x-2y+5 = 0 .