Minimum Value Of Expression

If a; b are positive real variables whose sum is a constant z, then the minimum
value of
sqrt((1 + 1/a)(1 + 1/b) )is
(A) z-1/z (B) z+ 2/z (C) z + 1/z (D) none of the above.

Replies

  • Prashanth_p@cchi
    Prashanth_p@cchi
    I think, the Answer is B.
    Explanation: Considering a and b to be 1(simple value).
    The equation would yield 2, which matches with option 2.
    Correct me if I am missing something.
  • zaveri
    zaveri
    Prashanth_p@cchi
    I think, the Answer is B.
    Explanation: Considering a and b to be 1(simple value).
    The equation would yield 2, which matches with option 2.
    Correct me if I am missing something.
    maybe you are not right

    if a=1 and b=1 then z=2

    the equation gives 2

    but option B gives 3
  • Prashanth_p@cchi
    Prashanth_p@cchi
    zaveri
    maybe you are not right

    if a=1 and b=1 then z=2

    the equation gives 2

    but option B gives 3
    Apologies!!!!!!! I considered it to be (z + 2)/2.
  • Priya Nadkarni
    Priya Nadkarni
    So C is the answer
  • Shashank Moghe
    Shashank Moghe
    This one is a real bedbug. Wont let me sleep. Do not give away the answer easily please. Awesome one.

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