Progression (Sequence and Series)Hard
Question
If a, b, c, are positive real numbers such that a + b + c + d = 2, then M = (a + b) (c + d) satisfies the releation
Options
A.0 ≤ M1
B.1 ≤ M ≤ 2
C.2 ≤ M ≤ 3
D.3 ≤ M ≤ 4
Solution
Since, AM ≥ GM, then
M ≤ 1
Also, (a + b) + (c + d ) > 0 (∵ a , b, c, d >0)
∴ 0 < M ≤ 1
M ≤ 1
Also, (a + b) + (c + d ) > 0 (∵ a , b, c, d >0)
∴ 0 < M ≤ 1
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