JEE Main & Advanced Mathematics Pair of Straight Lines Question Bank Equation of Pair of Straight Lines

  • question_answer
    If the equation \[2{{x}^{2}}-2hxy+2{{y}^{2}}=0\] represents two coincident straight lines passing through the origin, then \[h=\]

    A) \[\pm \text{ }6\]

    B) \[\sqrt{6}\]

    C) \[-\sqrt{6}\]                         

    D) \[\pm \text{ }2\]

    Correct Answer: D

    Solution :

    If it represents two coincident straight lines, then the condition \[{{h}^{2}}-ab=0\] should apply as angle between them would be zero. Hence \[{{h}^{2}}-4=0\]or\[h=\pm 2\].


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