Question

The focal distance of a point $P$ on the parabola $y^2=12x$ if the ordinate of $P$ is $6$, is

• A. $12$
• B. $6$
• C. $3$
• D. $9$

Answer 1

Answer: (B)

$6$

Given parabola is $y^2=12x$ ....$\left(i\right)$
Here $a=3$
For point $P(x,y),y=6$
This point lie on the parabola
$\therefore (6{)}^2=12x\Rightarrow x=3$
Now, focal distance of point $P$ is $x+a=6$