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Find the range of values of lambda for w...

Find the range of values of `lambda` for which the point `(lambda,-1)` is exterior to both the parabolas `y^2=|x|dot`

A

A. (0,1)

B

B. (-1,1)

C

C. (-1,0)

D

D. None of these

Text Solution

Verified by Experts

The correct Answer is:
`-1ltlamdalt1`
The parabola are `y^(2)-x=0andy^(2)+x=0`. The point `(lamda,-1)` is an exterior point if
`1-lamdagt0and1+lamdagt0`
`or" "lamdaltandlamdagt-1`
`or" "-1ltlamdalt1`
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