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

  • question_answer
    The incentre of the triangle formed by (0, 0), (5,12), (16, 12) is   [EAMCET 1984]

    A) (7, 9)

    B) (9, 7)

    C) (-9, 7)

    D) (-7, 9)

    Correct Answer: A

    Solution :

    Obviously \[a=11,\,\,b=20,\,\,c=13.\] Hence incentre is  \[\left( \frac{11\times 0+20\times 5+13\times 16}{11+20+13},\,\,\frac{11\times 0+20\times 12+13\times 12}{11+20+13} \right)\] i.e.  (7, 9)


You need to login to perform this action.
You will be redirected in 3 sec spinner