The two points `A` and `B` in a plane are such that for all points `P` lies on circle satisfied ` (PA)/(PB)=k` , then `k` will not be equal to (a)0 (b)1 (c)2 (d)None

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

A line is drawn through a fixed point P(alpha,beta) to cut the circle x^2+y^2=r^2 at A and B. Then PA.PB i equal to

If three points (h, 0),(a, b) and (0, k) lie on a line, show that a/h + b/k = 1 .

Two equal line segments PA and PB are drawn form external point P of a circle . If the distance of PA from the centre of the circle be 3, cm then find the distance of PB form the centre .

A and B are two independent events such that P(A^C) = 0.7, P(B) = k and P(A uB) = 0.8 , then K is

Let P(a sectheta, btantheta) and Q(asecphi , btanphi) (where theta+phi=pi/2 ) be two points on the hyperbola x^2/a^2-y^2/b^2=1 If (h, k) is the point of intersection of the normals at P and Q then k is equal to (A) (a^2+b^2)/a (B) -((a^2+b^2)/a) (C) (a^2+b^2)/b (D) -((a^2+b^2)/b)

In two circles , one circle passes through the centre O of the other circle and they intersect each other at the points A and B . A straight line passing through A intersect the circle passing through O at the point P and the circle with centre at O at the point R . BY joining P , B and R , B prove that PR= PB.

The centre of two circle are P and Q they intersect at the points A and B. The straight line parallel to the line segment PQ through the point A intersects the two circles at the point C and D Prove that CD = 2PQ

Distance between two points A and B is 4 unit. Both A and B are lying same side of a variable line L. Let p_(1) and p_(2) be the length of perpendicular from A and B on the L respectively such that p_(1) + 3p_(2) = k (k is constant). The line always touches a fixed circle C. If the coordinates of A and B be (-2, 0) and (2, 0) respectively, then coordinate of C-

A (-2, 2, 3) and B(13, -3, 13) are the points. L is a line through A. A point P moves in the space such that 3PA=2PB , then the locus of P is-