☆ If 1, a, b, c,16 are in G.P.(a, b, c are positive), then value of a+b+c is :
(a) 16
(b) 14
(c) 12
(d) 8
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Given a,b,c are in GP.
b/a = c/b
b2 = ac
Given equation (log a)x2-(2log b)x + log c = 0
(log a)x2-(log b2)x + log c = 0
(log a)x2-(log ac)x + log c = 0 (since b2 = ac)
x log a(x-1) – log c(x-1) = 0
(x log a – log c)(x-1) = 0
(x log a – log c) = 0 or x-1 = 0
x = (log c/log a) or x = 1
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