NIMCET 2024 Paper

Section: Mathematics

Question : 22 of 120

Marks: +1, -0

For what values of

λ

does the equation

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

represent two perpendicular lines and two lines inclined at an angle of

\;{π}/{4}

Solution:

We know that angle between the lines is given by

\;\tan θ=\;{2 {√{h^2-a b}}}/{a+b}

\;⇒ 1=\;{2 √{{1}/{4}-6 λ}}/{6+λ}

Solving this equation, we get

λ=-35

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