InterviewSolution
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InterviewSolution
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Statement-1: If a, b are positive real numbers such that `a^(3)+b^(3)=16`, then `a+ble4.` Statement-2: If a, b are positive real numbers and `ngt1`, then `(a^(n)+b^(n))/(2)ge((a+b)/(2))^(n)`A. 1B. 2C. 3D. 4 |
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Answer» Correct Answer - B If `0ltnlt1,` then `(a^(n)+b^(n))/(2)le((a+b)/(2))^(n)` `:." "((a^(3))^(1//3)+(b^(3))^(1//3))/(2)le((a^(3)+b^(3))/(2))^(1//3)implies(a+b)/(2)le((16)/(2))^(1//3)` `implies" "a+ble4` Hence, statement-1 is true. Also, statement-2 is true, but it is not a correct explanation for statement-1. |
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