Let be such that equation repeated root|Quadratic Equation

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JEE MAIN 2020

09-01-2020 S2

Question

Let $a, b \in R, a \neq 0$ be such that the equation, $a x^2- 2 \mathrm{bx}+5=0$ 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:

Select the correct option:

A

25

B

24

C

26

D

28

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

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