MCQ
If $\theta$ denotes the acute angle between the curves, $y = 10 - x^2$ and $y = 2 + x^2$ at a point of their intersection, then $|\tan \,\theta |$ is equal to
  • A
    $\frac{4}{9}$
  • $\frac{8}{15}$
  • C
    $\frac{7}{17}$
  • D
    $\frac{8}{17}$

Answer

Correct option: B.
$\frac{8}{15}$
b
$y = {x^2} + 2$ and $y = 10 - {x^2}$

Meet at $\left( { \pm 2,6} \right)$

$ \Rightarrow {m_1} = 4$ and ${m_2} =  - 4$

$\left| {\tan \theta } \right| = \frac{8}{{15}}$

 

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