JEE Main & Advanced Mathematics Straight Line Question Bank Slope of line, Equation of line in different forms

  • question_answer
    The line \[(3x-y+5)+\lambda (2x-3y-4)=0\]will be parallel to y-axis, if l =        

    A)            \[\frac{1}{3}\]                           

    B)            \[\frac{-1}{3}\]

    C)            \[\frac{3}{2}\]                           

    D)            \[\frac{-3}{2}\]

    Correct Answer: B

    Solution :

               The given line can be written in this form \[(3+2\lambda )x+(-1-3\lambda )y+(5-4\lambda )=0\]                    It is will be parallel to y-axis, if                    \[-1-3\lambda =0\Rightarrow \,\lambda =-\frac{1}{3}\].


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