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SSC Quantitative Aptitude Coordinate Geometry Question Bank Coordinate Geometry and Graphs of Linear Equations (I)

  • question_answer
    The equation of a line passing through the points \[A\,(-1,1)\]and \[B\,(2,-\,4)\]is

    A) \[3x+5y+2=0\]

    B) \[5x+3y+2=0\]

    C) \[2x+3y+5=0\]

    D) None of the above

    Correct Answer: B

    Solution :

    [b] The equation of the line is \[\frac{(y-{{y}_{1}})}{(x-{{x}_{1}})}=\frac{{{y}_{2}}-{{y}_{1}}}{{{x}_{2}}-{{x}_{1}}}\] i.e.,       \[\frac{(y-1)}{x+1}=\frac{-\,4-1}{2+1}\] \[\Rightarrow \]   \[\frac{(y-1)}{(x+1)}=\frac{-5}{3}\] \[\Rightarrow \]   \[3y-3=-5x-5\] \[\Rightarrow \]   \[5x+3y+2=0\]


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