Conic Sections Question 67

Question: The line $ y=mx+1 $ is a tangent to the parabola $ y^{2}=4x $ , if

[MNR 1990; Kurukshetra CEE 1998; DCE 2000; Pb. CET 2004]

Options:

A) $ m=1 $

B) $ m=2 $

C) $ m=4 $

D) $ m=3 $

Show Answer

Answer:

Correct Answer: A

Solution:

From condition for tangent to a parabola, $ 1=\frac{1}{m} $

therefore $ m=1 $ .