JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

1 Easy

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Application +4 | -1

For what value of

\lambda

, the equation

\lambda x^2+2 x y+\lambda y^2+4 x+4 y+

3=0

represents a pair of straight line?

View answer and explanation

Correct option: B

Option B (1) is correct because when

\lambda = 1

, the determinant of the matrix formed by the coefficients of the given equation is zero, indicating that the equation represents a pair of straight lines.

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a x^2+2 h x y+b y^2+2 g x+2 f y+c=0

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is If the pair of lines represented by

a x^2+2 h x y+b y^2+2 g x+2 f y+c=0

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is equal to the product of the slopes, then

\lambda

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represents a pair of straight lines passing through the origin. The two lines are The value of

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for which

3 x^2-3 h x y+4 y^2=0

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