If the angle between the lines represented by $2{x^2} + 5xy + 3{y^2} + 6x + 7y + 4 = 0$ is ${\tan ^{ - 1}}\left( m \right),$ then $m$ is equal to

JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

1 Easy

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Application +4 | -1

If the angle between the lines represented by

2{x^2} + 5xy + 3{y^2} + 6x + 7y + 4 = 0

{\tan ^{ - 1}}\left( m \right),

then

m

is equal to

View answer and explanation

Correct option: A

01-May

Option A (0.2) is correct because it is the absolute value of the tangent of the angle between the lines, calculated using the formula involving the coefficients of the quadratic equation.

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