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Paired T Test Class 11th

Let a be root of the equation 1 + x2 + x4 = 0. Then the value of a1011 + a2022 - a3033 is equal to:
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V
Vishal Baghel

Contributor-Level 10

x4 + x2 + 1 = 0

x4 + 2x2 + 1 – x2 = 0

  ⇒ ( x 2 + 1 + x ) ( x 2 − x + 1 ) = 0

x = ± ω ,   ? ω 2

Now, = α 1 0 1 1 + α 2 0 2 2 − α 3 0 3 3  

= ω 1 0 1 1 + ω 2 0 2 2 − ω 3 0 3 3  

= 1 + 1 – 1 = 1

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