First slide

Means - A.M/G.M/H.M

Question

$If a, b, c, d are positive real numbers such that a + b + c + d = 2, then$ $M = (a + b) (c + d) satisfies the relation$

Moderate

A

$0 < M \leq 1$
B

$1 < M \leq 2$
C

$2 < M \leq 3$
D

$3 < M \leq 4$

Solution

$Since G.M. \leq A.M$
$∴ \sqrt{[a + b] [c + d]} \leq \frac{(a + b) + (c + d)}{2} = \frac{2}{2} = 1$

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