Question

Equation of the tangent to $y^2=8x$ which is parallel to x-y+3=0 is

• A. x-y+4=0
• B. x-y+5=0
• C. x-y+2=0
• D. x-y+7=0

Answer 1

The correct option is C

x-y+2=0

$y^2=8xa=2x-y+3=0$
Eqn of tgt is $y=mx+\frac{a}{m}$
$\Rightarrow y=1.x+\frac{2}{1}\Rightarrow x-y+2=0$