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= a^2/b^2, if

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= a^2/b^2, if

by sanju09 » Mon Oct 11, 2010 10:07 pm
(a^2 + b^2)/ (b^2 + c^2) = a^2/b^2, if
(A) a + b = b + c
(B) a - b = b - c
(C) a/c = c/b
(D) a/b = b/c
(E) a^2 = b c

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by vijaynaik » Mon Oct 11, 2010 10:24 pm
(a^2 + b^2)/ (b^2 + c^2) = a^2/b^2

(ab)^2 + b^4 = (ab)^2 + (ac)2

b^4 = (ac)2
b^2 = ac;

answer: D
Last edited by vijaynaik on Mon Oct 11, 2010 10:37 pm, edited 1 time in total.
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by Rahul@gurome » Mon Oct 11, 2010 10:27 pm
(a^2 + b^2)/ (b^2 + c^2) = a^2/b^2 implies (a^2)(b^2) + b^4 = (a^2)(b^2) + (a^2)(c^2)
So, b^4 = (a^2)(c^2) or b^2 = ac
Looking at the given options, we get the [spoiler]correct answer as (D).[/spoiler]
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