The equation 12x^2+7xy+ay^2+13x+9y+3=0 represents a pair of perpendicular lines. Then, the value of 'a' is

JEE Main Mathematics question

The equation represents a pair of perpendicular lines. Then, the value of '' is

Answer: (C)

Lines given by a second-degree equation are perpendicular when the coefficient of plus the coefficient of is , so and . For

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Question ID VK-024252