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NTSE Sample Paper NTSE SAT Practice Test-10

  • question_answer
    In a\[\Delta ABC\], AB = AC. A circle through B touches AC at D and intersects AB at P. If D is the mid-point of AC, which one of the following is correct?                  

    A) AB=2AP                      

    B) AB=3AP

    C) AB=4AP          

    D) 2AB=5AP

    Correct Answer: C

    Solution :

    [c] We know \[A{{D}^{2}}=AP\times AB\] or  \[{{\left( \frac{AC}{2} \right)}^{2}}=AP\times AB\] or \[{{\left( \frac{AB}{2} \right)}^{2}}=AP\times AB\] or \[\frac{A{{B}^{2}}}{4}=AP\times AB\] \[\Rightarrow \,\,AB=4AP\]         


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