JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

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Analyzing +4 | -1

\alpha, \beta>0

and

\alpha<\beta

and

\alpha x^2+4 \gamma x y+\beta y^2+4 p(x+y+1)=0

represents a pair of straight lines, then

View answer and explanation

Correct option: D

p \leq \alpha

p \geq \beta

Option D (

p \leq \alpha

p \geq \beta

) is correct because the condition for the equation to represent a pair of straight lines leads to the inequality

(p-\alpha)(p-\beta) \geq 0

, which implies

p \leq \alpha

p \geq \beta

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