A circle of radius `3` passes through the origin `O` and cuts the axes at `A `and `B` .If the locus of foot of perpendicular from `O` to `AB` is `((x^(2)+y^(2))^(2))/(x^(2)y^(2))=a` ,then `sqrt(a)` is

A circle of constant radius r passes through the origin O and cuts the axes at A and B. Show that the locus of the foot of the perpendicular from O to AB is (x^2+y^2)^2(x^(-2)+y^(-2))=4r^2 .

A circle of constant radius r passes through the origin O, and cuts the axes at A and B. The locus of the foots the perpendicular from O to AB is (x^(2) + y^(2))^k =4r^(2)x^(2)y^(2) , Then the value of k is

A circle of radius 'r' passes through the origin O and cuts the axes at A and B,Locus of the centroid of triangle OAB is

A circle of constant radius a passes through the origin O and cuts the axes of coordinates at points P and Q . Then the equation of the locus of the foot of perpendicular from O to P Q is (A) (x^2+y^2)(1/(x^2)+1/(y^2))=4a^2 (B) (x^2+y^2)^2(1/(x^2)+1/(y^2))=a^2 (C) (x^2+y^2)^2(1/(x^2)+1/(y^2))=4a^2 (D) (x^2+y^2)(1/(x^2)+1/(y^2))=a^2

A circle of radius r passes through the origin O and cuts the axes at A and B . Let P be the foot of the perpendicular from the origin to the line AB . Find the equation of the locus of P .

A circle of radius r passes through origin and cut the x-axis and y-axis at P and Q . The locus of foot of perpendicular drawn from origin upon line joining the points P and Q is (A) (x^2+y^2)^3=r^2(x^2y^2) (B) (x^2+y^2)^2(x+y)=r^2(xy) (C) (x^2+y^2)^2=r^2(x^2y^2) (D) (x^2+y^2)^3=4r^2(x^2y^2)

A circle of constant radius 2r passes through the origin and meets the axes in 'P' and 'Q' Locus of the centroid of the trianglePOQ is :

If a circle of constant radius 3k passes through the origin O and meets the coordinate axes at Aa n dB , then the locus of the centroud of triangle O A B is (a) x^2+y^2=(2k)^2 (b) x^2+y^2=(3k)^2 (c) x^2+y^2=(4k)^2 (d) x^2+y^2=(6k)^2

A circle passes through origin and meets the axes at A and B so that (2,3) lies on bar(AB) then the locus of centroid of DeltaOAB is

If a circle passes through the point (a, b) and cuts the circlex x^2+y^2=p^2 equation of the locus of its centre is