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JEE Math Practice Question

Let $$\alpha $$ and $$\beta $$ be the roots of the equation x2 - x - 1 = 0. If pk = $${\left( \alpha \right)^k} + {\left( \beta \right)^k}$$ , k $$ \ge $$ 1, then which one of the following statements is not true?

  1. A.(p1 + p2 + p3 + p4 + p5) = 26
  2. B.p5 = 11
  3. C.p3 = p5 – p4
  4. D.p5 = p2 · p3

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