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Question

If a = 0.1039 , then the velue of  \( \sqrt{4a^{2}-4a+1}+3a. is :\)

Options:
A .  0.1039
B .  0.2078
C .  1.1039
D .  2.1039
Answer: Option C

\( \sqrt{4a^{2}-4a+1}+3a = \sqrt{(a^{2})+(2a)^{2}-2\times1\times2a}+3a\)


= \( \sqrt{(1-2a)^{2}}+3a\)


   = (1 - 2a) + 3a


   = (1 + a)


   = (1 + 0.1039)


   = 1.1039


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