Q. Angle between the tangents drawn to $y^{2} = 4x$ at the points where it is intersected by the line $y = x - 1$is equal to
A) $\frac{\pi}{4}$
B) $\frac{\pi}{3}$
C) $\frac{\pi}{6}$
D) $\frac{\pi}{2}$
Explanation
(d)
Since, the line $y = x - 1$ passes through focus $(1,\ 0)$
$\Rightarrow y = x - 1$ is a focal chord
So, angle between tangent is $\frac{\pi}{2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.