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If a2+4b2=4aba^2 + 4b^2 = 4aba2+4b2=4ab, then a : b = ?​
Question

If a2+4b2=4aba^2 + 4b^2 = 4ab, then a : b = ?​

A.

1 : 1

B.

1 : 4

C.

2 : 1

D.

1 : 2

Correct option is C

Given:

a2+4b2=4aba^2 + 4b^2 = 4ab

Solution:

a24ab+4b2=0a^2 - 4ab + 4b^2 = 0

(a2b)2=0(a - 2b)^2 = 0

a - 2b=0

a=2b

a:b=2:1

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