Question

If line $y=2x+\frac{1}{4}$ is tangent to $y^2=4ax$ then a is equal to

• A. $\frac{1}{2}$
• B. $1$
• C. $2$
• D. $Noneofthese$

Answer 1

The correct option is A $\frac{1}{2}$

y = mx+c is a tangent to $y^2=4ax$ if $c=\frac{a}{m}ora=cm\Rightarrow a=2\left(\frac{1}{4}\right)=\frac{1}{2}$