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Mathematics · 2026

JEE Main · 2 April 2026, Shift 2 · Q12

Let the parabola y=x^2+ p x+ q passing through the point ( 1,-1 ) be such that the distance between its vertex and the x -axis is minimum. Then the…

Let the parabola $\displaystyle y=x^2+\mathrm{p} x+\mathrm{q}$ passing through the point ( $\displaystyle 1,-1$ ) be such that the distance between its vertex and the $\displaystyle x$-axis is minimum. Then the value of $\displaystyle \mathrm{p}^2+\mathrm{q}^2$ is :
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JEE Main 2026 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.