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 $m_1$ and $m_2$ is $4 x^2+18 x y+y^2=0$. If the angle between $l_1$ and $m_2$ is $\alpha$, then the angle between $l_2$ and $m_1$ will be

JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

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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

m_1

and

m_2

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

. If the angle between

l_1

and

m_2

\alpha

, then the angle between

l_2

and

m_1

will be

View answer and explanation

Correct option: C

\alpha

Option C (α) is correct because the pairs of lines are equally inclined to each other, implying the angle between l2 and m1 is the same as the angle between l1 and m2.

JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

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