JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

1 Easy

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Application +4 | -1

If the pair of straight lines given by

A{x^2} + 2Hxy + B{y^2} = 0({H^2} > AB)

forms an equilateral triangle with line

ax + by + c = 0,

then

\left( {A + 3B} \right)\left( {3A + B} \right)

is equal to

View answer and explanation

Correct option: D

4{H^2}

Option D (

4{H^2}

) is correct because it is the result obtained after using the condition for an equilateral triangle formed by the pair of lines and the given line.

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