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

  • question_answer
    The equation of line passing through point of intersection of lines \[3x-2y-1=0\] and \[x-4y+3=0\]and the point \[(\pi ,\ 0),\] is [RPET 1987]

    A)            \[x-y=\pi \]                               

    B)            \[x-y=\pi (y+1)\]

    C)            \[x-y=\pi (1-y)\]                       

    D)            \[x+y=\pi (1-y)\]

    Correct Answer: C

    Solution :

               The point of intersection is (1, 1) Therefore the equation of the line passing through (1, 1) and \[(\pi ,\,0)\] is \[y-1=\frac{-1}{\pi -1}(x-1)\Rightarrow x-y=\pi (1-y)\].


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