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Statement 1 If a,b,c are three positive numbers in GP, then `((a+b+c)/(3))((3abc)/(ab+bc+ca))=(abc)^((2)/(3))`. Statement 2 `(AM)(HM)=(GM)^(2)` is true for positive numbers.A. Statement 1 is true, Statement 2 is true, Statement 2 is a corrct explanation for Statement 1.B. Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 1.C. Statement 1 is true, Statement 2 is false.D. Statement 1 is false, Statement 2 is true. |
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Answer» Correct Answer - C If a,b, be two real positive and unequal numbers, then `AM=(a+b)/(2),GM=sqrt(ab)` and`HM(2ab)/(a+b)` `:.(AM)(HM)=(GM)^(2)` This result will be true for n numbers, if they are in GP. Hence, Statement 1 is true, Statement 2 is false. |
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