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UPSC NDA 2 2021 Mathematics Solved Paper

Direction : Consider the following for the next two (O2) items that follow.

The two ends of the latus rectum of a parabola are

(-2,4)

and

(-2,-4)

[NDA-II 2021]

Question : 60 of 120

Marks: +1, -0

(0,0)

(-2,0)

Solution: 👈: Video Solution

(a) Let parabola-1 passes through origin.

It's equation will be

y^{2} = -4 a x

Whose leading points of latusrectum will be

(-a, 2a)

and

(-a, -2a)

\therefore \; a = 2

\therefore \;\; \text{ Focus } \; = (-2,0)

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