Question

The range of values $\lambda$ of for which the point $(\lambda ,-1)$ is exterior to both the parabolas $y^2=\left|x\right|$ is

• A. $(0,1)$
• B. $(-1,1)$
• C. $(-1,0)$
• D. none of these

Answer 1

The correct option is B $(-1,1)$

For $(\lambda ,-1)$ to lie exterior of parabola $y^2=|x|$
$1-|\lambda |>0$
$\Rightarrow |\lambda |<1$
$\Rightarrow \lambda ϵ(-1,1)$