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JEE Main & Advanced Mathematics Rectangular Cartesian Coordinates Question Bank Points related to triangle (Orthocente Circumcentre Incentre), Area of some geometrical figures Collinearity

  • question_answer
    If the area of the triangle with vertices \[(x,\text{ }0),\,(1,\text{ }1)\] and \[(0,\text{ }2)\] is 4 square units then a value of x is   [Karnataka CET 2004]

    A) - 2

    B) - 4

    C) - 6

    D) 8

    Correct Answer: A

    Solution :

    Given, area of triangle = 4 \[\therefore \]  \[\left| \,\begin{matrix}    x & 0 & 1  \\    1 & 1 & 1  \\    0 & 2 & 1  \\ \end{matrix}\, \right|\,=\,4\] \[\Rightarrow \]\[x=-2\].


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