Tangents are drawn to the circle `x^2+y^2=9` at the points where it is met by the circle `x^2+y^2+3x+4y+2=0` . 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.

Tangents are drawn to the parabola y^2=4a x at the point where the line l x+m y+n=0 meets this parabola. Find the point of intersection of these tangents.

Tangent are drawn to the circle x^2+y^2=1 at the points where it is met by the circles x^2+y^2-(lambda+6)x+(8-2lambda)y-3=0,lambda being the variable. The locus of the point of intersection of these tangents is (a) 2x-y+10=0 (b) 2x+y-10=0 (c) x-2y+10=0 (d) 2x+y-10=0

Find the point of intersection of the circle x^2+y^2-3x-4y+2=0 with the x-axis.

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

The tangent to the circle x^2+y^2=5 at (1,-2) also touches the circle x^2+y^2-8x+6y+20=0 . Find the coordinats of the corresponding point of contact.

If the tangent to the ellipse x^2+2y^2=1 at point P(1/(sqrt(2)),1/2) meets the auxiliary circle at point R and Q , then find the points of intersection of tangents to the circle at Q and Rdot

The length of the tangent of the circle x^2+y^2-2x-y -7 = 0 from the point (-1,-3) is

If the straight line x - 2y + 1 = 0 intersects the circle x^2 + y^2 = 25 at points P and Q, then find the coordinates of the point of intersection of the tangents drawn at P and Q to the circle x^2 + y^2 = 25 .

Tangents are drawn to the parabola (x-3)^2+(y+4)^2=((3x-4y-6)^2)/(25) at the extremities of the chord 2x-3y-18=0 . Find the angle between the tangents.