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  4. The line y = 2x + c is. a tangent to the parabola y2 = 16x, if c equals

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Q. The line $ y = 2x + c$ is. a tangent to the parabola $ y^2 = 16x$, if c equals

Conic Sections

Solution:

$y=mx+c$ touches $y^{2}=4ax$ if $ c=\frac{a}{m} $
Here $m=2, a=16 $
$ \Rightarrow a=4 $
$ \therefore c=\frac{4}{2} = 2$