JEE Main & Advanced Mathematics Rectangular Cartesian Coordinates Question Bank Questions related to geometrical conditions

  • question_answer
    The triangle joining the points P(2, 7), Q(4, -1), R(-2, 6) is   [MP PET 1997]

    A) Equilateral triangle

    B) Right-angled triangle

    C) Isosceles triangle

    D) Scalene triangle

    Correct Answer: B

    Solution :

    Since \[PQ=\sqrt{68},\,\,PR=\sqrt{17},\,\,QR=\sqrt{85}\] \[\therefore \,\,P{{Q}^{2}}+P{{R}^{2}}=Q{{R}^{2}}\], i.e. right angled triangle.


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