Question

Number of tangents to $y^2=2x$ through $(1,2)$ is

• A. $0$
• B. $1$
• C. $2$
• D. $3$

Answer 1

The correct option is C $2$

Let $S=y^2-2x$
$\therefore S_{(1,2)}=2>0$
Hence the given point lies outside of the parabola
So, $2$ tangents can be drawn from any point which lies outside.