The length of the tangent drawn from any point on the circle x²+y²+2 f y+ =0 to the circle x ²+ y ²+2 fy + =0, where 0, is

Question

The length of the tangent drawn from any point on the circle x²+y²+2 f y+ =0 to the circle x ²+ y ²+2 fy + =0, where > >0, is

Quantrex Academy · Accepted Answer

Correct answer: A. -

Let the radius of the first circle be CT = r ₁ . Also, let the radius of the second circle be CP = r ₂ In the triangle PCT , T is a right angle aligned So, P T &= P C²-C T² = r₁²-r₂² &= (f²- )- (f²- ) = - aligned

The length of the tangent drawn from any point on the circle x²+y²+2 f y+ =0 to the circle x ²+ y ²+2 fy + =0, where > >0, is

Options

Correct answer

Step-by-step solution

More from Circle