If a, b, c are positive real numbers such that `a+b+c=1`, then the greatest value of `(1-a)(1-b)(1-c), isA. `(1)/(27)`B. `(8)/(27)`C. `(4)/(27)`D. 9

If a, b, c are positive real numbers such that `a+b+c=1`, then the gre

1.	If a, b, c are positive real numbers such that `a+b+c=1`, then the greatest value of `(1-a)(1-b)(1-c), isA. `(1)/(27)`B. `(8)/(27)`C. `(4)/(27)`D. 9
Answer» Correct Answer - B Using `G.M.leA.M.,` we have `{(1-a)(1-b)(1-c)}^(1//3)le(1-a+1-b+1-c)/(3)` `implies" "(1-a)(1-b)(1-c)le(8)/(27)` Hence, the greatest value is `(8)/(27)`

If a, b, c are positive integers, then `((a^(2)+b^(2)+c^(2))/(a+b+c))^(a+b+c)gta^(x)b^(y)c^(z)`, thenA. `x=a, y=b, z=c`B. `x=b, y=a, z=c`C. `x=(1)/(a),y=(1)/(b),z=(1)/( c )`D. `x=y=z=1`
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