JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

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Analyzing +4 | -1

If the pairs of lines

x^2+2 x y+\lambda y^2=0

and

\lambda x^2+2 x y+y^2=0

have exactly one line in common, then the joint equation of the other two lines is given by

View answer and explanation

Correct option: B

3 x^2+10 x y+3 y^2=0

Option B (

3 x^2+10 x y+3 y^2=0

) is correct because it represents the joint equation of the other two lines after finding the common line and the value of λ.

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