Angle between $\mathrm{y}^2=\mathrm{x}$ and $\mathrm{x}^2=\mathrm{y}$ at the origin is

• A

  $2 \tan ^{-1}\left(\frac{3}{4}\right)$
• B

  $\tan ^{-1}\left(\frac{4}{3}\right)$
• Correct answer
  C

  $\frac{\pi}{2}$
• D

  $\frac{\pi}{4}$

Solution

Hins : Angle between axes (since co-ordinate axes are the tangents for the given curve).

Hence, the correct answer is option: 'C'.