Coffee Room

Discuss anything here - everything that you wish to discuss with fellow engineers.

12914 Members

Join this group to post and comment.

# 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.

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.

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.

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 rightPrashanth_p@cchiI 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.

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.zaverimaybe you are not right

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

the equation gives 2

but option B gives 3

So C is the answer

This one is a real bedbug. Wont let me sleep. Do not give away the answer easily please. Awesome one.