JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Analyzing +4 | -1

x+y+z=1

and

x, y

and

z

are positive numbers such that

(1-x)(1-y)(1-z) \geq k x y z

, then

k

is equal to

View answer and explanation

Correct option: C

Option C (8) is correct because by applying AM >= GM inequality, we can derive the inequality (1-x)(1-y)(1-z) >= 8xyz, hence k = 8.

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