Tangents are drawn to `x^2 + y^2 = 1` from any arbitrary point `P` on the circle `C_1 : x^2 + y^2 - 4 = 0.` These tangent meets the circle `'C_1'` again in `A` and `B`. Locus of point of intersection of tangents drawn to `C_1,` at `A` and `B`

Tangents PA and PB are drawn to the circle x^2 +y^2=8 from any arbitrary point P on the line x+y =4 . The locus of mid-point of chord of contact AB is

Tangents PA and PB are drawn to the circle x^2 +y^2=8 from any arbitrary point P on the line x+y =4 . The locus of mid-point of chord of contact AB is

If tangents are drawn to the circle x^(2) + y^(2) = 12 at the points where it intersects the circle x^(2) + y ^(2) - 5 x + 3y - 2 = 0 then the coordinates of the points of intersection of those tangents are

The tangents PA and PB are drawn from any point P of the circle x^(2)+y^(2)=2a^(2) to the circle x^(2)+y^(2)=a^(2) . The chord of contact AB on extending meets again the first circle at the points A' and B'. The locus of the point of intersection of tangents at A' and B' may be given as

The tangents PA and PB are drawn from any point P of the circle x^(2)+y^(2)=2a^(2) to the circle x^(2)+y^(2)=a^(2) . The chord of contact AB on extending meets again the first circle at the points A' and B'. The locus of the point of intersection of tangents at A' and B' may be given as

Tangents PA and PB are drawn to the circle x^(2)+y^(2)=8 from any arbitrary point P on the line x+y=4. The locus of mid-point of chord of contact AB is

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 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

If the tangents are drawn to the circle x^(2)+y^(2)=12 at the point where it meets the circle x^(2)+y^(2)-5x+3y-2=0, then find the point of intersection of these tangents.

If the tangents are drawn to the circle x^2+y^2=12 at the point where it meets the circle x^2+y^2-5x+3y-2=0, then find the point of intersection of these tangents.