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 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

If A and B are two square matrices of same order satisfying AB=A and BA=B, then B^2 is equal to (A) A (B) B (C) A^2 (D) none of these

If A and B are two fixed points and P is a variable point such that PA + PB = 4 , the locus of P is

A(2,3) , B (1,5), C(-1,2) are the three points . If P is a point such that PA^(2)+PB^(2)=2PC^2 , then find locus of P.

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

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

P is a point inside the rectangle ABCD such that PA=2 , PB=9 , PC=10 & PD= sqrt k then "k" is equal

Statement 1: let A( vec i+ vec j+ vec k)a n dB( vec i- vec j+ vec k) be two points. Then point P(2 vec i+3 vec j+ vec k) lies exterior to the sphere with A B as its diameter. , Statement 2: If Aa n dB are any two points and P is a point in space such that vec(PA).vec(PB) >0 , then point P lies exterior to the sphere with A B as its diameter.

PA and PB are two tangents drawn from an external point P to a circle with centre C and radius=4cm If PA_|_PB then length of each tangent is