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J & K CET Engineering J and K - CET Engineering Solved Paper-2010

  • question_answer
    if the straight lines \[2x+5ay-1=0\] and \[3x+7y+7=0\] are mutually perpendicular, then value of \[\alpha \] is

    A)  \[\frac{6}{37}\]

    B)  \[\frac{-6}{31}\]

    C)  \[\frac{-6}{37}\]

    D)  \[\frac{-6}{35}\]

    Correct Answer: D

    Solution :

    Given,  straight lines \[2x+5ay-1=0\] and \[3x+7y+7=0\] are mutually perpendicular. Therefore, \[{{m}_{1}}{{m}_{2}}=-1\] \[\frac{-2}{5a}\times \frac{-3}{7}=-1\] \[\Rightarrow \] \[a=\frac{-6}{35}\]


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