Conic Sections Question 185

Question: If the line $ y=2x+k $ is a tangent to the curve $ x^{2}=4y $ , then k is equal to

[AMU 2002]

Options:

A) 4

B) 1/2

C) -4

D) -1/2

Show Answer

Answer:

Correct Answer: C

Solution:

Given $ m=2 $ , $ c=k $ , $ a=1 $

Hence, $ k=-4 $ .