Let a, b in R, a neq 0 be such that the equation,


Let $a, b \in R$, $a \neq 0$ be such that the equation, $a x^{2}-2 b x+5=0$ has a repeated root $\alpha$, which is also a root of the equation, $x^{2}-2 b x-10=0$. If $\beta$ is the other root of this equation, then $\alpha^{2}+\beta^{2}$ is equal to :

  1. 26

  2. 25

  3. 28

  4. 24

Correct Option: , 2


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