The combined equation of the lines $L_1$ and $L_2$ is $2 x^2+6 x y+y^2=0$ and that of the lines $L_3$ and $L_4$ is $4 x^2+18 x y+y^2=0$. If the angle between $L_1$ and $L_4$ be $\alpha$, then the angle between $L_2$ and $L_3$ will be

JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

1 Easy

1 of 1

Analyzing +4 | -1

The combined equation of the lines

L_1

and

L_2

2 x^2+6 x y+y^2=0

and that of the lines

L_3

and

L_4

4 x^2+18 x y+y^2=0

. If the angle between

L_1

and

L_4

\alpha

, then the angle between

L_2

and

L_3

will be

View answer and explanation

Correct option: D

\alpha

Option D (

\alpha

) is correct because the two pairs of lines have the same angle bisectors, implying that the angle between

L_1

and

L_4

is equal to the angle between

L_2

and

L_3