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NTSE Sample Paper NTSE SAT Practice Test-16

  • question_answer
    An equilateral triangle and a regular hexagon are inscribed in a circle. If a and b are the lengths of their sides respectively, then which one of the following is correct relation of a and b?

    A) \[{{a}^{2}}=2{{b}^{2}}\]                

    B) \[{{b}^{2}}=3{{a}^{2}}\]

    C) \[{{b}^{2}}=2{{a}^{2}}\]                

    D) \[{{a}^{2}}=3{{b}^{2}}\]

    Correct Answer: D

    Solution :

    [d] If r is the rarius of the circle, then \[r=\frac{a}{\sqrt{3}}=b\] \[\therefore \,\,{{a}^{2}}=3{{b}^{2}}\]


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