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MHT CET · Maths · Parabola

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

  1. A 12
  2. B 6
  3. C 3
  4. D 9
Verified Solution

Answer & Solution

Correct Answer

(B) 6

Step-by-step Solution

Detailed explanation

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 \(x+a=6\)