Q82 / 150 · MHT CET 2009 · Mathematics

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

  • A
    12
  • Correct answer
    B
    6
  • C
    3
  • D
    9

Solution

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

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

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