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Mathematics · 2026 · 2 marks
CBSE 2026 · Region 1 · Set 1 · Q21
If α, β are the zeroes of the polynomial p(x)=x^2-3 x-1, then find the value of 1/(α)+1/(β).
If $\displaystyle \alpha, \beta$ are the zeroes of the polynomial $\displaystyle p(x)=x^{2}-3 x-1$, then find the value of $\displaystyle \frac{1}{\alpha}+\frac{1}{\beta}$.
Marking-scheme solution
Here, \(\displaystyle \alpha+\beta=3, \alpha \beta=-1\)
\[\begin{aligned}
\frac{1}{\alpha}+\frac{1}{\beta}=\frac{\alpha+\beta}{\alpha \beta} & =\frac{3}{-1} \\
& =-3
\end{aligned}
\]
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CBSE Class 10 Mathematics past-paper question from the 2026 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.