Question

The end points of latus rectum of the parabola y2=24x are ?
A) (6, +-12)
B) (12, +-6)
C) (6, +-6)
D) none of these

Answer 1

Answer:

non of these

Step-by-step explanation:

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Answer 2

Answer:

The end points of latus rectum are (6,12) and (6,-12)

Step-by-step explanation:

We know that,

Equation of parabola is, $y^{2} = 4ax$

Equation of endpoints of the latus rectum = (a, ±2a)

In the given question,

Equation of parabola is, $y^{2} = 24x$

∴ a = 6

So, Equation of endpoints of the latus rectum = (6, ±12)

The correct answer is option (a) (6, ±12)