Home
Class 11
MATHS
a, b, c are in H.P. such that a + b + c ...

a, b, c are in H.P. such that `a + b + c = 37`, `1/a+1/b+1/c=1/4`. The smallest number is

Promotional Banner

Similar Questions

Explore conceptually related problems

If (b+c)/(a), (c+a)/(b), (a+b)/(c ) are in A.P. show that (1)/(a), (1)/(b), (1)/(c ) are also in A.P. (a+b+c != 0) .

If a, b, c are In A.P., then show that, (1)/(b c), (1)/(c a), (1)/(a b) are in A.P.

If (b+c)/a,(c+a)/b,(a+b)/c are in A.P. show that 1/a,1/b1/c are also in A.P. (a +b+c != 0) .

Suppose a, b, c are in A.P.Prove that a(1/b+1/c),b(1/c+1/a),c(1/a+1/b) are in A.P.

If (b+c-a)/a ,(c+a-b)/b ,(a+b-c)/c , are in A.P., prove that 1/a ,1/b ,1/c are also in A.P.

If (b+c-a)/a ,(b+c-a)/b ,(b+c-a)/c , are in A.P., prove that 1/a ,1/b ,1/c are also in A.P.