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`.

Find the equation of the tangent and normal to the circle x^(2)+y^(2)=25 at P(-3,4)

If line x-2y-1=0 intersects parabola y^(2)=4x at P and Q, then find the point of intersection of normals at P and Q.

Find the locus of the point of intersection of the perpendicular tangents of the curve y^2+4y-6x-2=0 .

The locus of the point of intersection of perpendicular tangents to the hyperbola (x^(2))/(25)-(y^(2))/(9) is:

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 circle x^2+y^2=9 at the points where it is met by the circle x^2+y^2+3x+4y+2=0 . Fin the point of intersection of these tangents.

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 Ra n dQ , then find the points of intersection of tangents to the circle at Qa n dRdot

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 Aa n dB . The locus of the point of intersection of tangents at Aa n dB to the circle x^2+y^2=9 is 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