If A, G and H be respectively quantities, then show that, (i) `AH = G^(2)` (ii) `A gt G gt H`.

If A_(1),A_(2),G_(1),G_(2) and H_(1),H_(2) be two AMs,GMs and HMs between two quantities then the value of (G_(1)G_(2))/(H_(1)H_(2)) is

In Figure, C D and G H are respectively the medians of A B C and E F G . If A B C ~ F E G , prove that (i) A D C ~ F H G (ii) (C D)/(G H)=(A B)/(F E) (iii) C D B ~ G H E

If A,G,H are A.M., G.M., H.M. respectively, if G=6 and H=4 then value of A is

Will the heat released be same or different in the following two reactions: (i) H_(2)(g) + 1/2 O_(2)(g) to H_(2)O(l) (ii) H_(2)(g) + 1/2 O_(2)(g) to H_(2)O(g) Explain.

Lef a, b be two distinct positive numbers and A and G their arithmetic and geometric means respectively. If a, G_(1),G_(2) , b are in G.P. and a, H_(1),H_(2) , b are in H.P., prove that (G_(1)G_(2))/(H_(1)H_(2))lt (A^(2))/(G^(2)) .

Delta H_(1)^(@) for CO_(2)(g) , CO(g) and H_(2)O(g) are -393.5,-110.5 and -241.8 kJ mol^(-1) respectively. Standard enthalpy change for the reaction CO_(2)(g)+H_(2)(g) rarr CO(g) + H_(2)O(g) is

Complete the following reactions : (i) CuO(s) +H_(2)(g) to (ii) CO(g) +H_(2)(g) to

If G+H means G is the son H. G - H means G is the husband of H and G * H means G is the sister of H, which of the following shows that J is the mother-in-law of N?