J & K CET Engineering J and K - CET Engineering Solved Paper-2007

  • question_answer
    The equation of the plane passing through the points \[(a,0,0),(0,b,0)\] and \[(0,0,c)\] is

    A)  \[ax+by+cz=0\]

    B)  \[ax+by+cz=1\]

    C)  \[\frac{x}{a}+\frac{y}{b}+\frac{z}{c}=1\]

    D)  \[\frac{x}{a}+\frac{y}{b}+\frac{z}{c}=0\]

    Correct Answer: C

    Solution :

    Given points on the plane are \[(a,\,\,0,\,\,0),\,(0,\,b,\,0)\]and \[(0,\,0,\,c)\]. \[\therefore \] Length of intercept with x-axis, y-axis and z-axis are a, b and c respectively. \[\therefore \] Equation of the plane is \[\frac{x}{a}+\frac{y}{b}+\frac{z}{c}=1\]


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