JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

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Application +4 | -1

The equation

x^2-3 x y+\lambda y^2+3 x-5 y+2=0

when

\lambda

is a real number, represents a pair of straight lines. If

\theta

is the angle between the lines, then

\operatorname{cosec}^2 \theta=

View answer and explanation

Correct option: C

Option C (10) is correct because by substituting λ = 2 into the equation and using the formula for the angle between lines, we find that

\operatorname{cosec}^2 \theta = 10

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