J & K CET Engineering J and K - CET Engineering Solved Paper-2003

  • question_answer
    The number of diagonals that can be drawn by joining the vertices of an octagon, is

    A)  \[28\]           

    B)  \[48\]

    C)  \[20\]           

    D)  \[15\]

    Correct Answer: C

    Solution :

    By joining any two points of a vertices, we get a diagonal, but we have to subtract the sides of a octagon. \[\therefore \] Number of diagonals \[{{=}^{8}}{{C}_{2}}-8\] \[=\frac{8\times 7}{2\times 1}-8=20\]


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