JEE Main & Advanced Mathematics Pair of Straight Lines Question Bank Critical Thinking

  • question_answer The orthocentre of the triangle formed by the lines \[xy=0\]and \[x+y=1\]is                                       [IIT 1995]

    A)            \[(0,0)\]                                 

    B)            \[\left( \frac{1}{2},\frac{1}{2} \right)\]

    C)            \[\left( \frac{1}{3},\frac{1}{3} \right)\]                         

    D)            \[\left( \frac{1}{4},\frac{1}{4} \right)\]

    Correct Answer: A

    Solution :

               Since the triangle is right angled at \[O(0,0)\], therefore (0,0) is its orthocentre.

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