If `a+b+c=6` and `a,b,c in R^(+)` then prove that `1/(6-a)+1/(6-b)+1/(6-c) >= 3/4`

a+b+c=6 and a,b,c in R^(+) provethat (1)/(a)+(4)/(b)+(9)/(c)>=6

If 2^a=3^b=6^(-c) , then prove that (1)/(a)+(1)/(b)+(1)/(c )=0 .

If 2^(a)=3^(b)=6^(c) then prove that c=(ab)/(a+b)

If a : b = c : d , prove that : (6a + 7b) (3c - 4d) = (6c + 7d) (3a - 4b) .

If a/b=4/3, then the value of (6a+4b)/(6a-5b) is -1 (b) 3 (c) 4 (d) 5

If (a + b - c) : ( b + c - a) : (a + c - b) = 6 : 5 : 7 , then (1)/(a) : (1)/(b) : (1)/( c) is equal to:

If (a+b) : (b+c) : (c+a) = 7 : 6 : 5 and a+b+c = 27, then what will be the value of 1/a:1/b: 1/c ? यदि (a+b) : (b+c) : (c+a) = 7 : 6 : 5 तथा a+b+c = 27, है, तो 1/a:1/b: 1/c का मान क्या होगा ?

if a+b+c=6 and (1)/(a)+(1)/(b)+(1)/(c)=(3)/(2) then find (a)/(b)+(a)/(c)+(b)/(a)+(b)/(c)+(c)/(a)+(c)/(b)

If a,b, and c are positive and a+b+c=6 show that (a+1/b)^(2)+(b+1/c)^(2)+(c+1/a)^(2)>=75/4

If a/b=4/3, then the value of (6a+4b)/(6a-5b) is (a) -1 (b) 3 (c) 4 (d) 5