If the pair of lines 3x^2 - 5xy + py^2 = 0 and 6x^2 - xy - 5y^2 = 0 have one line common, then p =

MHT CET 2025 Mathematics question

If the pair of lines and have one line common, then

Answer: (C)

Factorise the second pair: , so its lines are and . A common line must satisfy the first equation too. Putting : . Putting :

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Question ID VK-103027