A.M and G.M

6. The A.M. between m and n and G. M. between a and b are each equal to ma+nb /m+n . Then m =
(A) a√b/√a+√b (B) b√a/√a+√b
(C) 2a√b/√a+√b (D) 2b√a/√a+√b

8 Answers

1
voldy ·

answer is D .

11
Mani Pal Singh ·

dude mere se solve nahin hua tabhie poccha hai

i will be happy to see the solution[1]

1
voldy ·

(m+n)/2 = √(ab) ........(1)
this is equal to (ma+nb)/(m+n)

equate √(ab) = (ma+nb)/{2√(ab)}

then solve for m or n , then substitue in (1)

you'll get it . and then split a-b as (√a + √b )(√a- √b)

11
Mani Pal Singh ·

oh noooooooooo

i didn't obserned that AM and GM are equal

GOOD WORK SRI
thanx 4 the help
please help in probability and helllllllllppppp

106
Asish Mahapatra ·

AM = (m+n)/2 = GM = √ab
==> (m+n)/2 = √ab = (ma+nb)/(m+n)

equating the first and third

(m+n)2 = 2(ma+nb)
and equating first and second and squaring

(m+n)2 = 4ab

So, 2ab = ma + nb .... (i)

now, equating 2nd and 3rd/

abm + √abn = am + bn
==> √am(√b - √a) - √bn(√b-√a) = 0
==> m√a = n√b ... (iii)

using (iii) n = m√a/b in (i)

2ab = ma + mb√a/b
==> m = 2ab/(a+√ab)
==> m = 2b√a/(√a+√b)

106
Asish Mahapatra ·

sry sri i din see u had done it already

6
nix_13 12 ·

this is a Q.from which book?

11
Mani Pal Singh ·

it was 4m my tution test [1][1][1]

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