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10th Class Mathematics Coordinate Geometry Question Bank Coordinate Geometry

  • question_answer
    Find the area of triangle whose vertices are \[(t,\,t-2),\,(t+2,\,t+2)\]and \[(t+3,\,\,\,t)\].

    A)  14 sq. units   

    B)  2tsq. Units     

    C)         5 sq. units    

    D)         4 sq. units                  

    Correct Answer: D

    Solution :

    Let \[A(t,\,t-2),\,B(t+2,t+2)\] and \[C(t+3,t)\] be the vertices of the given triangle. Then, Area of \[\Delta \,ABC=\frac{1}{2}|\{t(t+2-t)\] \[+(t+2)(t-t+2)+(t+3)(t-2-t-2)\}|\] \[\Rightarrow \]  Area of \[\Delta ABC\] \[=\frac{1}{2}|\{2t+2t+4-4t-12\}|=|-4|=4\]sq. units


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