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Question: The range of values of l for which the point (l, – 1) is exterior to both the parabola y<sup>2</sup>...

The range of values of l for which the point (l, – 1) is exterior to both the parabola y2 = |x| is –

A

(0, 1)

B

(– 1, 1)

C

(– 1, 0)

D

None of these

Answer

(– 1, 1)

Explanation

Solution

The parabolas are y2 – x = 0 if x ³ 0 and y2+x = 0

if x < 0, The point (l, – 1) is an exterior point if

1–l>0 and 1+l>0 ̃ l<1 and l>–1 ̃ –1<l<1