JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

1 Easy

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Analyzing +4 | -1

If two of the lines given by the equation

a{y^4} + bx{y^3} + c{x^2}{y^2} + d{x^3}y + e{x^4} = 0

are at right angle, then

View answer and explanation

Correct option: A

\left( {c + a + e} \right){\left( {e - a} \right)^2} + \left( {b + d} \right)\left( {ad + be} \right) = 0

Option A

\left( {c + a + e} \right){\left( {e - a} \right)^2} + \left( {b + d} \right)\left( {ad + be} \right) = 0

is correct because the condition for two lines to be at right angles leads to this relation between the coefficients of the given equation.

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