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 `Ba n dCdot` Find the locus of the circumcenter of ` A B Cdot`

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

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

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 C. Find the locus of the circumcenter of hat varphi ABC.

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 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 (c) y^2-x^2=((27)/7)^2 (d) none of these

From points on the circle x^2+y^2=a^2 tangents are drawn to the hyperbola x^2-y^2=a^2 . Then, the locus of mid-points of the chord of contact of tangents is:

If from any point on the circle x^(2)+y^(2)=a^(2) tangents are drawn to the circle x^(2)+y^(2)=b^(2), (a>b) then the angle between tangents 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

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.

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.