SATHEE: Conic Sections Question 66

Conic Sections Question 66

Question: The line $ y=2x+c $ is a tangent to the parabola $ y^{2}=16x $ , if c equals

[MNR 1988]

Options:

A) $ -2 $

B) $ -1 $

C) 0

D) 2

Show Answer

Answer:

Correct Answer: D

Solution:

y=mx+c touches y 2=4ax if c= $\frac{a}{m}$

Here m=2,a=16

⇒a=4

∴c= $\frac{4}{2}$=2

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Conic Sections Question 66

Question: The line $ y=2x+c $ is a tangent to the parabola $ y^{2}=16x $ , if c equals

Options:

Answer:

Solution:

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