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

  • question_answer
    The equations of the lines which cuts off an intercept -1 from y-axis are equally inclined to the axes are

    A) \[x-y+1=0,\ \ x+y+1=0\]     

    B) \[x-y-1=0,\ \ x+y-1=0\]

    C) \[x-y-1=0,\ \ x+y+1=0\]       

    D) None of these  

    Correct Answer: C

    Solution :

    Here \[c=-1\]and \[m=\tan \theta =\tan {{45}^{o}}=1\]    (Since the line is equally inclined to the axes, so \[\theta ={{45}^{o}}\])                    Hence equation of straight line is \[y=\pm (1.\,x)-1\]                    Þ \[x-y-1=0\]and \[x+y+1=0\].


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