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Question

One of the points on the parabola y2=12x with focal distance 4 is


A

(3,6)

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B

(9,63)

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C

(7,221)

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D

(8,46)

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Solution

The correct option is A

(3,6)


Explanation for the correct option

Checking which point lies on the parabola

Given: The parabola is y2=12x and focal distance 4

Comparing this with the general equation of the parabola y2=4ax ,then;

4a=12a=3

We can say the points lie on point of intersection of the latus rectum and the parabola.So we put x=3.

Substituting x=3 in y2=12x,we get ;

y2=12×3y2=36y=36y=6

Therefore, the point (3,6)lies on the parabola.

Hence the correct answer is Option (A).


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