If a, b, c are in H.P., then correct statement is –(A) ac = b2(B) �

1.	If a, b, c are in H.P., then correct statement is –(A) ac = b2(B) √(ac) < b(C) a + c = 2b(D) √(ac) > b
Answer» Answer is (C) a + c = 2b H.M. of a, b, c H = (2ac)/(a + c)….(i) G.M. of a,b,c G = √ac ….(ii) From equation (i) and (ii), b = (2ac)/(a + c) We know that GM. > H.M. G > H √ac > b

If a, b, c are in H.P., then correct statement is –(A) ac = b2(B) √(ac) < b(C) a + c = 2b(D) √(ac) > b

Answer»

Answer is (C) a + c = 2b

H.M. of a, b, c

H = (2ac)/(a + c)….(i)

G.M. of a,b,c

G = √ac ….(ii)

From equation (i) and (ii),

b = (2ac)/(a + c)

We know that GM. > H.M.

G > H

√ac > b