Let a and b be the roots of equation x2 – 6x – 2 = 0. If an = a n – b n , for n ³ 1, then the value of 10 8 9 a 2a 2a – is equal to:

Question:

Let $\alpha$ and $\beta$ be the roots of equation $x^{2}-6 x-2=0$. If $a_{n}=$ $\alpha^{\mathrm{n}}-\beta^{\mathrm{n}}$, for $\mathrm{n} \geq 1$, then the value of $\frac{\mathrm{a}_{10}-2 \mathrm{a}_{8}}{2 \mathrm{a}_{9}}$ is equal to:

  1. 3

  2. $-3$

  3. 6

  4. $-6$


Correct Option: 1

JEE Main Previous Year 1 Question of JEE Main from Mathematics Complex Numbers and Quadratic Equations chapter.
JEE Main Previous Year Online April 10, 2016

Solution:

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