let `P_1, P_2,(P_1 !=P_2)` be too fixed points in a plane and `k>0`. Prote that the locus of all P in the plane such that `|PP_2| =k |PP_2|` is either a circle or astraight line.

If A(z_(1)) and A(z_(2)) are two fixed points in the Argand plane and a point P(z) moves in the Argand plane in such a way that |z-z_(1)|=|z-z_(2)| , then the locus of P, is

A and B are two fixed points on a plane and P moves on the plane in such a way that PA : PB = constant. Prove analytically that the locus of P is a circle.

If P be any point on the plane ln+my+nz=P and Q be a point on the line OP such that (OP)(OQ)=P^(2). The locus of point Q is

If P be any point on the plane lx+my+nz =p and Q be a point on the line OP such that OP.OQ = p^(2) then find the locus of the point Q.

If P be any point on the plane lx+my+nz=p and Q be a point on the line OP such that OP.OQ=p^(2) , then find the locus of the point Q.

The two points A and B in a plane are such that for all points P lies on circle satisfied P(A)/(P)B=k, then k will not be equal to

Let A and B be two fixed points and P , another point in the plane, moves in such a way that k_(1)PA+k_(2)PB=k_(3) , where k_(1) , k_(2) and k_(3) are real constants. The locus of P is Which one of the above is not true ?

Let A and B be two fixed points and P , another point in the plane, moves in such a way that k_(1)PA+k_(2)PB=k_(3) , where k_(1) , k_(2) and k_(3) are real constants. The locus of P is Which one of the above is not true ?

A point moves in a plane so that its distance PA and PB from who fixed points A and B in the plane satisfy the relation P A-P B=k(k!=0) then the locus of P is a. a hyperbola b. a branch of the locus of P is c. a parabola d. an ellipse