From the variable point `A` on circle `x^2+y^2=2a^2,` two tangents are drawn to the circle `x^2+y^2=a^2` which meet the curve at `B and Cdot` Find the locus of the circumcenter of ` A B Cdot`

The tangent at any point P on the circle x^2+y^2=4 meets the coordinate axes at A and B . Then find the locus of the midpoint of A Bdot

From an arbitrary point P on the circle x^2+y^2=9 , tangents are drawn to the circle x^2+y^2=1 , which meet x^2+y^2=9 at A and B . The locus of the point of intersection of tangents at A and B to the circle x^2+y^2=9 is (a) x^2+y^2=((27)/7)^2 (b) x^2-y^2((27)/7)^2 y^2-x^2=((27)/7)^2 (d) none of these

From any point on the circle x^(2)+y^(2)=a^(2) tangent are drawn to the circle x^(2)+y^(2)=a^(2)sin^(2)theta . The angle between them is

From any point on the circle x^(2)+y^(2)=a^(2) tangents are drawn to the circle x^(2)+y^(2)=a^(2) sin^(2) theta . The angle between them is

The locus of the point of intersection of the two tangents drawn to the circle x^2 + y^2=a^2 which include are angle alpha is

Tangents drawn from (2, 0) to the circle x^2 + y^2 = 1 touch the circle at A and B Then.

From a point on the circle x^2+y^2=a^2 , two tangents are drawn to the circle x^2+y^2=b^2(a > b) . If the chord of contact touches a variable circle passing through origin, show that the locus of the center of the variable circle is always a parabola.

Two perpendicular tangents to the circle x^2 + y^2= a^2 meet at P. Then the locus of P has the equation

Two perpendicular tangents to the circle x^2 + y^2= a^2 meet at P. Then the locus of P has the equation

A point on the line x=3 from which the tangents drawn to the circle x^2+y^2=8 are at right angles is