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(B) The pair of straight lines passing through the origin is given by the equation $ax^2 + 2hxy + by^2 = 0$. The angle $	heta$ between these lines is

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$a + b = 0$

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(B) The pair of straight lines passing through the origin is given by the equation $ax^2 + 2hxy + by^2 = 0$. The angle $	heta$ between these lines is given by the formula $	an 	heta = \left| \frac{2\sqrt{h^2 - ab}}{a + b} ight|$. When the lines are perpendicular,the angle $	heta = 90^{\circ}$. Since $	an 90^{\circ}$ is undefined (approaches $\infty$),the denominator must be zero. Therefore,$a + b = 0$.

The lines represented by $ax^2 + 2hxy + by^2 = 0$ are perpendicular to each other,if ........

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