Comment
Share
Q)

# Angle between the asymptotes of the hyperbola $3x^2+7xy+2y^2-11x-7y+10=0$ is

$\begin{array}{1 1}(A)\;45^{\circ} \\(B)\;105^{\circ} \\(C)\;60^{\circ} \\(D)\;\text{none of these} \end{array}$

$3x^2+7xy+2y^2-11x-7y+10=0$ ----(1)
$3x^2+7xy+2y^2-11x-7y+c=0$-----(2)
$\therefore$ Angle between the asymptotes is
$\tan^{-1} \bigg(2 \sqrt {\large\frac{{49}{4}-6}{5}}\bigg)$$=\tan ^{-1} \qquad=\large\frac{\pi}{4}$$=45^{\circ}$