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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 coordinates of the points A, B, C, be (4,4), (3,-2) and (3,-16) respectively, then the area of the triangle ABC is  [MP PET 1982]

    A) 27

    B) 15

    C) 18

    D) 7

    Correct Answer: D

    Solution :

    \[\Delta =\frac{1}{2}\,[4\,(-2+16)+3\,(-16-4)+3\,(4+2)\]   \[=\frac{1}{2}\,[56-60+18]=7\].


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