Which of the following pairs of straight line | vedclass

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(A) The condition for a pair of straight lines represented by the general equation $ax^2 + 2hxy + by^2 = 0$ to be perpendicular is that the sum of the

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

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(A) The condition for a pair of straight lines represented by the general equation $ax^2 + 2hxy + by^2 = 0$ to be perpendicular is that the sum of the coefficients of $x^2$ and $y^2$ must be zero,i.e.,$a + b = 0$.For option $A$: $2 x^2 = y(x + 2 y)$$\Rightarrow 2 x^2 - xy - 2 y^2 = 0$Here,$a = 2$ and $b = -2$.Sum of coefficients: $a + b = 2 + (-2) = 0$.Since the condition $a + b = 0$ is satisfied,the lines represented by this equation are perpendicular.

Which of the following pairs of straight lines intersect at right angles?

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