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10th Class Mathematics Coordinate Geometry Question Bank Co-ordinate Geometry

  • question_answer
    The area of triangle formed by the points (p, 2-2p), (1 -p, 2p) and (-4p, 6 -2 p) is 70 units. How many integral values of p are possible?

    A)  2                                

    B)  3               

    C)  4                                

    D)  None of these

    Correct Answer: D

    Solution :

    (d): Use the formula of area of a\[\Delta le\]which will lead to a quadratic equation. Now solve the quadratic equation to see the number of integral solutions it can have. The relevant Area Determinant will be \[\Delta =\frac{1}{2}\left| \begin{matrix}    p & 2(1-p) & 1  \\    1-p & 2p & 1  \\    2(-2p) & 2(3-p) & 1  \\ \end{matrix} \right|=70\]


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