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Range of values of k for which the point...

Range of values of k for which the point (k,-1) is exterior to both the parabolas ` y^2 = |x|` is

A

`a in(0, 1)`

B

`a in (-1, 1)`

C

`a in (-1, 0)`

D

none of these

Text Solution

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The correct Answer is:
B
The equations of the parabolas are `y^(2)=x" and "y^(2)=-x.` If the point (a, 1) is exterior to these two parabolas, then
`1-agt" and "1+agtrArralt1" and "a llgt-1rArra in (-1, 1)`
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