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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 points \[(k,\,3),(2,k),(-k,\,3)\]are collinear, then the values of k are  [Kerala(Engg.) 2005]

    A) 2, 3

    B) 1, 0

    C) 1, 2

    D) 1, -1/2

    E) (e) 0, 3

    Correct Answer: E

    Solution :

    (e) If points \[(k,3),(2,k)\]and \[(-k,\,3)\] are collinear then, \[[k(k-3)+2(3-3)-k(3-k)]=0\] Þ \[[k(k-3)+0+k(k-3)=0\]Þ \[2k\,(k-3)=0\] Þ \[k=0,\,3\].


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