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

  • question_answer
    All points lying inside the triangle formed by the points (1, 3), (5,0) and (-1,2) satisfy   [IIT 1986; Kurukshetra CEE 1998]

    A) \[3x+2y\ge 0\]

    B) \[2x+y-13\le 0\]

    C) \[2x-3y-12\le 0\]

    D) All the above

    Correct Answer: D

    Solution :

    For \[(1,\,\,3),\,\,3x+2y=3+6>0,\] for (5, 0), \[3\times 5+0>0\] and for \[(-1,\,\,2),\,\,-3+4>0.\] Similarly other inequalities hold good.


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