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Mathematics · 2023 · 2 marks
CBSE 2023 · Region 4 · Set 1 · Q22
If one zero of the polynomial p ( x )=6 x^2+37 x -( k -2) is reciprocal of the other, then find the value of k.
If one zero of the polynomial $\displaystyle \mathrm{p}(\mathrm{x})=6 \mathrm{x}^{2}+37 \mathrm{x}-(\mathrm{k}-2)$ is reciprocal of the other, then find the value of k.
Marking-scheme solution
\[p(x)=6 x^{2}+37 x-(k-2)
\]
Let the zeroes be \(\displaystyle \alpha, \frac{1}{\alpha}\)
Product of zeroes \(\displaystyle =\mathscr{H} \cdot \frac{1}{\mathscr{L}}=-\frac{(\mathrm{k}-2)}{6}\)
\[6=-k+2 \Rightarrow k=-4
\]
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CBSE Class 10 Mathematics past-paper question from the 2023 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.