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CUET
General Test
Quantitative Reasoning
Algebra
If (a + \(\frac{1}{a}\))2 = 3, then find a18 + a12 + a6 + 1.
0
1
2
3
If a + \(\frac{1}{a}\) = \(\sqrt {3}\)
then, a6 = -1 always
Now;
⇒ a18 + a12 + a6 + 1 = (a6)3 + (a6)2 + a6 + 1 = - 1 + 1 - 1 + 1 = 0