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 variable straight line through A(-1,-1) is drawn to cut the circle x^(2)+y^(2)=1 at the point B and C.P is chosen on the line ABC, If AB,AP,AC are in A.P. then the locus of P is

If a line through A(1, 0) meets the lines of the pair 2x^2 - xy = 0 at P and Q. If the point R is on the segment PQ such that AP, AR, AQ are in H.P then find the locus of the point R.

From a point A a varible straight line is drawn to cut the hyperbola xy=c^2 at B and C. If a point P is chosen on BC such that AB,AP,AC are in G.P., then the locus of P is

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 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.

The lines 2 x+3 y=6,2 x+3 y=8 cut the x -axis at A, B respectively. A line ' P drawn through the point (2,2) meets the x- axis at C, in such a way that abscissa of A, B and C are in A.P. Then the equation of the line ' P is

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

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