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

Want to ask us a question? Click here

Browse Questions

Ad |

0 votes

0 votes

Equation of the hyperbola is

$3x^2+7xy+2y^2-11x-7y+10=0$ ----(1)

Equation of the asymptotes is

$3x^2+7xy+2y^2-11x-7y+c=0$-----(2)

So that (2) represent pair of straight line.

$\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}$

Hence A is the correct.

Ask Question

Take Test

x

JEE MAIN, CBSE, NEET Mobile and Tablet App

The ultimate mobile app to help you crack your examinations

...