Home
Class 11
MATHS
If x,y, and z are in A.P ax , by and cz ...

If x,y, and z are in A.P ax , by and cz are in G.P. and a,b,c are in HP then prove that `(x)/(z) +(z)/(x) = (a)/ (c )+(c )/(a)`

Promotional Banner

Similar Questions

Explore conceptually related problems

If a, b, c are in A.P. and b-a,c-b and a are in G.P., then a:b:c is

If a,b,c are in A.P. b,c,d are in G.P. and 1/c,1/d,1/e are in A.P. prove that a,c,e are in G.P.

If a, b, c are in A.P, b, c, d are in G.P. and 1/c , 1/d,1/e are in A. P . Prove that a, c, e are in G.P.

If x,y,z are in G.P. and a^(x)=b^(y) =c^(z) then

If x,y , z are in AP and tan ^(-1) x, tan ^(-1) y and tan ^(-1) z are also in AP, then :

If a ,b,c are in G.P. and a^(x) =b^(y) =c^(z) then x,y,z are in

Suppose that a, b, c are in A.P. Prove that 2b = a + c

If (b-c)^(2) , (c-a)^(2), (a-b)^(2) are in A.P. then prove that (1)/(b-c) , (1)/(c-a), (1)/(a-b) are also in A.P.