The slopes of the line given by x^2+2hxy+2y^2=0 are in the ratio 1:2, then h is

MHT CET 2024 Mathematics question

The slopes of the line given by are in the ratio 1:2, then h is

Answer: (B)

Put : , whose roots are the slopes. Sum and product . Let , (ratio 1:2). Then , and . Hence

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Question ID VK-092811