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JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

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Application +4 | -1
The equation 12x2+7xy+ay2+13x−y+3=012{x^2} + 7xy + a{y^2} + 13x - y + 3 = 0 represents a pair of perpendicular lines. Then, the value of 'a' is
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Correct option: C
-12
The correct answer is -12 because for perpendicular lines, the sum of the coefficients of x² and y² must be zero.

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