Question

If from any point on the circle \(x^2 + y^2 + 2gx + 2fy + c = 0\) tangents are drawn to the circle \(x^2 + y^2 + 2gx + 2fy + csin^2\alpha + (g^2 + f^2) cos^2\alpha = 0\), show that the angle between the tangents is equal to \(2\alpha\)...

Answer 1

@Calcmathlete

Answer 2

@mukushla

Answer 3

like this ?
and i think we have to show that \(\theta=\alpha\) ?

Answer 4

but i think that the circles are concentric circles.....

Answer 5

sorry ... u r right