If from any point `P` on the circle `x^2+y^2+2gx+2fy+c=0,` tangents are drawn to the circle `x^2+y^2+2gx+2fy+csin^2alpha+(g^2+f^2)cos^2alpha=0` , then find the angle between the tangents.

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

Tangents are drawn from any point on the circle x^(2)+y^(2) = 41 to the ellipse (x^(2))/(25)+(y^(2))/(16) =1 then the angle between the two tangents 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.

A pair of tangents are drawn from the origin to the circle x^2+y^2+20(x+y)+20=0 . Then find its equations.

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.

The tangents drawn from the origin x^2+y^2+2gx+2fy+f^2=0 are perpendicular if

The length of the tangent drawn from any point on the circle x ^(2) +y^(2) +2gx+2fy+c_(1) =0 to the circel x ^(2)+y^(2) +2gx+2fy+c_(2) =0 is-

The equation x^2+y^2+2gx+2fy+c=0 represents a point -circle when

Find the area of an equilateral triangle inscribed in the circle x^2 + y^2 + 2gx + 2fy + c = 0

The angle between a pair of tangents drawn from a point P to the circle x^2+y^2+4x-6y+9sin^2alpha+13cos^2alpha=0" is "2alpha . The equation of the locus of the point P is