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Mathematics · 2023

JEE Main · 11 April 2023, Shift 1 · Q24

If a and b are the roots of the equation x^2-7 x-1=0, then the value of (a^21+b^21+a^17+b^17)/(a^19+b^19) is equal to ____.

If $\displaystyle a$ and $\displaystyle b$ are the roots of the equation $\displaystyle x^2-7 x-1=0$, then the value of $\displaystyle \frac{a^{21}+b^{21}+a^{17}+b^{17}}{a^{19}+b^{19}}$ is equal to $\displaystyle \_\_\_\_$.
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.