Question

The acute angles between the curves $y=|x^2-3|$ at their points of intersection is

• A. $\frac{\pi }{4}$
• B. $ta{n}^{-1}\left(\frac{4\sqrt{2}}{7}\right)$
• C. $ta{n}^{-1}\left(4\sqrt{2}\right)$
• D. $noneofthese$

Answer 1

The correct option is B $ta{n}^{-1}\left(\frac{4\sqrt{2}}{7}\right)$

$y=\sqrt{sinx+y}\Rightarrow y^2-y=sinx\therefore (2y-1)\frac{dy}{dx}=cosx$