Q. The line $y = mx + 1$ is a tangent to the parabola $y^{2} = 4x$, if
A) $m = 1$
B) $m = 2$
C) $m = 4$
D) $m = 3$
Explanation
(a)
If $y = mx + 1$, touches the parabola $y =^{2} = 4x$,
then $c = \frac{a}{m}\ \Rightarrow \ 1 = \frac{1}{m} \Rightarrow \ m = 1$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.