The point on the parabola $y^2=4 a x$ nearest to the focus has its abscissa

• Correct answer
  A

  $x=0$
• B

  $x=a$
• C

  $x=\frac{a}{2}$
• D

  $x=2 a$

Solution

Here, ' $S$ ' represents focus $O(0,0)$ is a point which is on parabola $y^2=4 a x$ and nearest to focus $(a, 0)$
$\therefore \quad$ abscissa of $O(0,0)$ is $x=0$ $\therefore \quad$ Option (A) is correct.

Hence, the correct answer is option: 'A'.