Mathematics · 2022
JEE Main · 25 June 2022, Shift 2 · Q2
Let a, b ∈ R be such that the equation a x^2-2 b x+15=0 has a repeated root α. If α and β are the roots of the equation x^2-2 b x+21=0, then α^2+β^2…
Let $\displaystyle a, b \in \mathbb{R}$ be such that the equation $\displaystyle a x^2-2 b x+15=0$ has a repeated root $\displaystyle \alpha$. If $\displaystyle \alpha$ and $\displaystyle \beta$ are the roots of the equation $\displaystyle x^2-2 b x+21=0$, then $\displaystyle \alpha^2+\beta^2$ is equal to:
Official answer
(2)
$\displaystyle 58$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.