P is the point (-1,2), a variable line through P cuts the x & y axes at A&B respectively Q is the point on AB such that PA, PQ, PB are H.P. Find the locus of Q

A variable line through the point (p, q) cuts the x and y axes at A and B respectively. The lines through A and B parallel to y-axis and x-axis respectively meet at P . If the locus of P is 3x+2y-xy=0 , then (A) p=2, q=3 (B) p=3, q=2 (C) p=2, q=-3 (D) p=-3, q=-2

A variable line through A(6,8) meets the circle x^(2)+y^(2)=2 at B and C.P is a point on BC such that AB,AP AC are in H.P.Then the minimum distance of the origin from locus of P is

A(-9,0),B(-1,0) are two points.If P is a point such that PA:PB=3:1, then the locus of P is

Comprehension (Q.6 to 8) A line is drawn through the point P(-1,2) meets the hyperbola x y=c^2 at the points A and B (Points A and B lie on the same side of P) and Q is a point on the lien segment AB. If the point Q is choosen such that PQ, PQ and PB are inAP, then locus of point Q is x+y(1+2x) (b) x=y(1+x) 2x=y(1+2x) (d) 2x=y(1+x)

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

AB is a variable line sliding between the cordinate axes in such a way that A lies on the x-axis and B lies on the y-axis.If P is a variable point on AB such that PA=b,Pb=a, and AB=a+b, find the equation of the locus of P.

A point P moves on a plane (x)/(a)+(y)/(b)+(z)/(c)=1.A plane through P and perpendicular to OP meets the coordinate axes at A,B andC.If the planes through A,B and C parallel to the planes x=0,y=0 and z=0, respectively, intersect at Q, find the locus of Q.

A variable line through point P(2,1) meets the axes at A and B. Find the locus of the circumcenter of triangle OAB (where O is the origin.

A variable line through the point P(2,1) meets the axes at A and B .Find the locus of the centroid of triangle OAB (where O is the origin).