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Question Id : 12880 | Context : JEE Main 2022 (25 June Evening Shift)
Let a, b $\in$ R be such that the equation $a{x^2} - 2bx + 5 = 0$ has a repeated root $\alpha$. If $\alpha$ and $\beta$ are the roots of the equation ${x^2} - 2bx + 21 = 0$, then ${\alpha ^2} + {\beta ^2}$ is equal to :


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