MHT CET 2023 Mathematics question

MathematicsStraight LinesMHT CET 2023

If are possible values of k for which lines , and are concurrent, then has the value

Answer: (B)

Solution

Three lines are concurrent only if the determinant of coefficients vanishes AND they actually share a point. , which factors as , so . Test each. : the first two lines meet at and

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Question ID VK-097330