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
- A 12
- B 6
- C 3
- D 9
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 \(x+a=6\)
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 \(x+a=6\)
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