For what value of $k$ is $4\;{x^2} + 8\;xy + k{y^2} = 9$ the equation of a pair of straight lines?

JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

1 Easy

1 of 1

Application +4 | -1

For what value of

k

4\;{x^2} + 8\;xy + k{y^2} = 9

the equation of a pair of straight lines?

View answer and explanation

Correct option: B

Option B (4) is correct because when k=4, the given equation represents a pair of straight lines as the determinant condition is satisfied.

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