If `a ,b ,c ,d`are positive real umbers such that `a=b+c+d=2,t h e nM=(a+b)(c+d)`satisfies the relation`0lt=Mlt=1``1lt=Mlt=2``2lt=Mlt=3``3lt=Mlt=4`A. `0leMle1`B. `1leMle2`C. `2leMle3`D. `3leMle4`

If `a ,b ,c ,d`are positive real umbers such that `a=b+c+d=2,t h e nM=

1.	If `a ,b ,c ,d`are positive real umbers such that `a=b+c+d=2,t h e nM=(a+b)(c+d)`satisfies the relation`0lt=Mlt=1``1lt=Mlt=2``2lt=Mlt=3``3lt=Mlt=4`A. `0leMle1`B. `1leMle2`C. `2leMle3`D. `3leMle4`
Answer» Correct Answer - A Using `A.M.geG.M.,` we have `((a+b)+(c+d))/(2)ge{(a+b)(c+d)}^(1//2)` `implies" "(2)/(2)geM^((1)/(2))` `implies" "Mle1` As a, b, c, d`gt`0. Therefore, `M=(a+b)(c+d)gt0.` Hence, `0leMle1.`

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