If in the general quadratic equation f(x, y) | vedclass

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(B) The general quadratic equation is $ax^2 + 2hxy + by^2 + 2gx + 2fy + c = 0$.Given $\Delta = 0$,the equation represents a pair of straight lines.The

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Two perpendicular straight lines

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(B) The general quadratic equation is $ax^2 + 2hxy + by^2 + 2gx + 2fy + c = 0$.Given $\Delta = 0$,the equation represents a pair of straight lines.The condition for the lines to be perpendicular is the sum of the coefficients of $x^2$ and $y^2$ being zero,i.e.,$a + b = 0$.Since it is given that $a + b = 0$,the pair of straight lines represented by the equation are perpendicular to each other.Therefore,the equation represents two perpendicular straight lines.Hence,the correct option is $B$.

If in the general quadratic equation $f(x, y) = 0$,$\Delta = 0$ and $a + b = 0$,then the equation represents:

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