Let a and b be the roots of the equation x 2 – x – l = 0. If pk = (a) k + (b) k , k ³ l, then which one of the following statements is not true ?
Question:
Let $\alpha$ and $\beta$ be the roots of the equation $x^{2}-x-1=0$. If $p_{k}=(\alpha)^{k}+(\beta)^{k}, k \geq 1$, then which one of the following statements is not true ?
$p_{3}=p_{5}-p_{4}$
$P_{5}=11$
$\left(p_{1}+p_{2}+p_{3}+p_{4}+p_{5}\right)=26$
$p_{5}=p_{2} \cdot p_{3}$
Correct Option: 4
JEE Main Previous Year1 Question of JEE Main from MathematicsComplex Numbers and Quadratic Equations chapter.
