Which of the following equations represents a | vedclass

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(A) The general equation of a pair of straight lines passing through the origin is given by $ax^2 + 2hxy + by^2 = 0$. The lines are perpendicular if t

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$2{x^2} = 2y(2x + y)$

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(A) The general equation of a pair of straight lines passing through the origin is given by $ax^2 + 2hxy + by^2 = 0$. The lines are perpendicular if the sum of the coefficients of $x^2$ and $y^2$ is zero,i.e.,$a + b = 0$. For option $A$: $2x^2 = 4xy + 2y^2 \Rightarrow 2x^2 - 4xy - 2y^2 = 0$. Here,$a = 2$ and $b = -2$. Since $a + b = 2 + (-2) = 0$,the lines represented by this equation are perpendicular to each other.

Which of the following equations represents a pair of straight lines perpendicular to each other?

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