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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 vertices of a triangle are \[(5,2),\,(2/3,2)\] and \[(-4,\text{ }3)\], then the area of the triangle is  [Kurukshetra CEE 2002]

    A) 28/6

    B) 5/2

    C) \[43\]

    D) 13/6

    Correct Answer: D

    Solution :

    \[\Delta =\frac{1}{2}\,\left| \left\{ 5(2-3)+\frac{2}{3}(3-2)+(-4)\,(2-2) \right\} \right|\]                      \[=\frac{1}{2}\,\left| \text{ }\left( \frac{-13}{3} \right)\text{ } \right|=\frac{13}{6}\].


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