Home
Class 12
MATHS
If a ((1)/(b) + (1)/(c)) , b((1)/(c) + (...

If `a ((1)/(b) + (1)/(c)) , b((1)/(c) + (1)/(a)) , c ((1)/(a)+ (1)/(b)) ` are in AP then a, b, c are in :

A

AP

B

GP

C

HP

D

nothing can be said

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

if (a+b)/(1-ab),b,(b+c)/(1-bc) are in AP then a,1/b,c are in

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

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

If 1/(a+b)+1/(b+c)=1/b , prove that a, b, c are in G.P.

If a,b,c are in AP, then (a)/(bc),(1)/(c ), (1)/(b) are in

If a^(x)=b^((1)/(2)),b^(y)=c^((1)/(3)),c^(z)=a^((1)/(2)) , find xyz

If 1+(1)/(a) +(1)/(b) + (1)/(c ) = 0 then [(1+a, 1,1),(1, 1+b,1),(1,1,1+c)] is equal to

If a+b+c ne 0 and (b + c)/a, (c + a)/b, (a + b)/c are in A.P., prove that : 1/a,1/b,1/c are also in A.P.

If a^(1//x) =b^(1//y) =c^(1//z) and a,b,c are in G.P . Then :

If 1/a+1/(a-b)+1/c+1/(c-b)= 0 and a + c-b!=0 , then prove that a, b, c are in H.P.