If the equation 7x^2-14xy+py^2-12x+qy-4=0 represents a pair of parallel lines then the value of p^2+q^2-pq is

MHT CET 2024 Mathematics question

If the equation represents a pair of parallel lines then the value of is

(A)
(B)
(C)Correct
(D)

Answer: (C)

Solution

For to be a pair of parallel lines we need . Here , so , : . The second-degree part is then , so the equation must be of the form . Comparing the linear terms

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Question ID VK-092678