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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
    The circumcentre of a triangle formed by the line \[xy+2x+2y+4=0\] and \[x+y+2=0\] is [Orissa JEE 2005]

    A) (-1, -1)

    B) (0, -1)

    C) (1, 1)

    D) (-1, 0)

    Correct Answer: A

    Solution :

    \[xy+2x+2y+4=0\]  .....(i) and \[x+y+2=0\]  ......(ii) from (i) and (ii), \[xy=0\Rightarrow x=y=0\] \ Vertices of triangle are \[(-2,0)\,\,(0,0)\,\,(0,-2)\] (In a right angled triangle circumcentre is mid point of hypotenuse) \ \[(-1,-1)\] is the circumcircle.


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