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Mathematics · 2025

JEE Main · 23 January 2025, Shift 2 · Q21

The roots of the quadratic equation 3 x^2- p x+ q =0 are 10^th and 11^th terms of an arithmetic progression with common difference 3/2. If the sum of…

The roots of the quadratic equation $\displaystyle 3 x^2-\mathrm{p} x+\mathrm{q}=0$ are $\displaystyle 10^{\text {th }}$ and $\displaystyle 11^{\text {th }}$ terms of an arithmetic progression with common difference $\displaystyle \frac{3}{2}$. If the sum of the first $\displaystyle 11$ terms of this arithmetic progression is $\displaystyle 88$ , then $\displaystyle \mathrm{q}-2 \mathrm{p}$ is equal to $\displaystyle \_\_\_\_$.
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.