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

  • question_answer
    The equation of line whose mid point is \[({{x}_{1}},\ {{y}_{1}})\] in between the axes, is                                    [RPET 1988]

    A)             \[\frac{x}{{{x}_{1}}}+\frac{y}{{{y}_{1}}}=2\]                

    B)            \[\frac{x}{{{x}_{1}}}+\frac{y}{{{y}_{1}}}=\frac{1}{2}\]

    C)            \[\frac{x}{{{x}_{1}}}+\frac{y}{{{y}_{1}}}=1\]                 

    D)            None of these

    Correct Answer: A

    Solution :

               Intersection point on x-axis is \[(2{{x}_{1}},0)\]and on y-axis is \[(0,\text{ }2{{y}_{1}})\]. Thus equation of line passes through these points is\[\frac{x}{{{x}_{1}}}+\frac{y}{{{y}_{1}}}=2\].


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