If the angle $\theta $ is acute, then the acute angle between ${x^2}\left( {\cos {\rm{\theta }} - \sin {\rm{\theta }}} \right) + 2xy\cos {\rm{\theta }} + {y^2}\left( {\cos {\rm{\theta }} + \sin {\rm{\theta }}} \right) = 0$ is

JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

1 Easy

1 of 1

Application +4 | -1

If the angle

\theta

is acute, then the acute angle between

{x^2}\left( {\cos \mathrm{\theta } - \sin \mathrm{\theta }} \right) + 2xy\cos \mathrm{\theta } + {y^2}\left( {\cos \mathrm{\theta } + \sin \mathrm{\theta }} \right) = 0

View answer and explanation

Correct option: C

\theta

Option D (

- 2,\;\frac{1}{2}

) is correct because these are the slopes of the lines that make a 45-degree angle with the given line, calculated using the tangent of the angle between two lines.

JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

More Questions from PAIR OF STRAIGHT LINES