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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 orthocentre of triangle formed by lines \[4x-7y+10=0,\] \[x+y=5\]  and \[7x+4y=15\] is [IIT 1969, 76]

    A) (1, 2)

    B) (1, -2)

    C) (-1, -2)

    D) (-1, 2)

    Correct Answer: A

    Solution :

    Orthocentre of right angled triangle is same as the vertex of right angle. Therefore, point of intersection of \[7x+4y-15=0\]and \[4x-7y+10=0\] is (1, 2).


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