ಎ ಮತ್ತು ಬಿ ಎರಡು ಧನಾತ್ಮಕ ಸಂಖ್ಯೆಗಳ AM ಮತ್ತು GM ನ ಅನುಪಾತವು m : n ಆಗಿದೆ. ತೋರಿಸು a : b =

Given two numbers a and b. Let A denote the single A.M. and S denote the sum of n A.M.'s between a and b, then S//A depends on

If the ratio of A.M. and G.M. of two positive numbers a and b is m : n, then prove that : a:b=(m+sqrt(m^(2)-n^(2))):(m-sqrt(m^(2)-n^(2)))

The A.M. of a and c is b. If b is also the G.M. of a and c+1 then : (b-c)^(2) =

If m be the A.M. and g be the G.M. of two positive numbers 'a' and 'b' such that m:g=1:2 , then (a)/(b) can be equal to

If P , Q be the A.M., G.M. respectively between any two rational numbers a and b , then P-Q is equal to (A)   (a-b)/a   (B)   (a+b)/2   (C)   (2ab)/(a+b)   (D)   ((sqrt(a)-sqrt(b))/sqrt(2))^2

In Figure, A B C D\ a n d\ F E C G are parallelograms equal in area. If a r\ ( A Q E)=12 c m^2, then a r\ (^(gm)F G B Q)= 12\ c m^2 (b) 20\ c m^2 (c) 24\ c m^2 (d) 36\ c m^2

The A.M and G.M of two numbers a and b are 18 and 6 respectively then H.M of a and b is