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JEE Main & Advanced Mathematics Rectangular Cartesian Coordinates Question Bank Critical Thinking

  • question_answer
    If the vertices of a triangle be (0,0), (6,0) and (6,8), then its incentre will be

    A) (2, 1)

    B) (1,2)

    C) (4, 2)

    D) (2,4)

    Correct Answer: C

    Solution :

    Let \[A\,(0,\,\,0),\,\,B\,(6,\,\,0)\] and \[C\,(6,\,8)\] Thus \[c=AB=6,\,\,a=BC=8\] and \[b=AC=10\] Hence incentre    \[=\left( \frac{8\times 0+10\times 6+6\times 6}{8+10+6},\,\frac{8\times 0+10\times 0+6\times 8}{8+10+6} \right)=(4,\,\,2)\].


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