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

  • question_answer
    The three points (-2,2), (8,-2) and (-4, -3) are the vertices of     [RPET 1987]

    A) An isosceles triangle

    B) An equilateral triangle

    C) A right angled triangle

    D) None of these

    Correct Answer: C

    Solution :

    \[a=\sqrt{{{(8+2)}^{2}}+{{(-2-2)}^{2}}}=\sqrt{116}\] \[b=\sqrt{{{(-\,4-\,8)}^{2}}+{{(-\,3+2)}^{2}}}=\sqrt{145}\] \[c=\sqrt{{{(-\,4+2)}^{2}}+{{(-\,3-2)}^{2}}}=\sqrt{29}\]\[\Rightarrow \,\,{{a}^{2}}+{{c}^{2}}={{b}^{2}}\] Hence it is right angled triangle.


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