## Tangent To Parabola and Chord with Midpoint to Circle

All the tangent to the parabola $y^{2}=-4a(x-1)$ whose slope lie in the interval R – $\left [ -\frac{1}{2} , \frac{1}{2}\right ]$ are chords bisected by the line x=1to a circle  Equation of the circle is

A) $x^{2}+y^{2}=5$

B) $x^{2}+y^{2}=4$

C)$x^{2}+y^{2}-2x=0$

D)C)$x^{2}+y^{2}-x-4=0$

This site uses Akismet to reduce spam. Learn how your comment data is processed.