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9th Class Mathematics Coordinate Geometry Question Bank Co-ordinate Geometry

  • question_answer
    The area of the triangle formed by \[(\mathbf{a},b+\mathbf{c}),(\mathbf{b},\mathbf{c}+\mathbf{a})\] and \[\left( \mathbf{c},\mathbf{a}+\mathbf{b} \right)\] is

    A)  \[a+b+c\]                    

    B)  abc             

    C)  \[{{\left( a+b+c \right)}^{2}}\]            

    D)  0

    Correct Answer: D

    Solution :

    (d): Area of triangle \[=\frac{1}{2}\left[ a\left( c+a-a-b \right)+b\left( a+b-b-c \right)+c\left( b+c-c-a \right) \right]\] \[=\frac{1}{2}\left[ ac-ab+ba-be+cb-ca \right]=0.\]


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