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

  • question_answer
    Equations of the two straight lines passing through the point (3, 2) and making an angle of \[{{45}^{o}}\]with the line \[x-2y=3,\] are [AMU 1978]

    A)            \[3x+y+7=0\] and \[x+3y+9=0\]

    B)            \[3x-y-7=0\] and \[x+3y-9=0\]

    C)            \[x+3y-7=0\] and \[x+3y-9=0\]

    D)            None of these

    Correct Answer: B

    Solution :

               Slope of given line is \[\frac{1}{2}.\]                    Thus \[\tan {{45}^{o}}=\pm \frac{m-\frac{1}{2}}{1+m.\frac{1}{2}}\] Þ \[m=\pm 3\].                    Hence option (b) is correct.


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