Question

If both the roots of $x^2$ - ax + a = 0 are greater than 2 then :

• A. a
• B. a (0, 2)
• C. a (4,)
• D. None of these

Answer 1

The correct option is D

None of these

(i) $a^2-4a\ge 0$ $\Rightarrow$ a $\le$ 0 or a $\ge$ 4.

(ii) $\alpha$ + $\beta$ > 4 $\Rightarrow$ a > 4.

(ii) f(2) = 4 - a > 0 $\Rightarrow$ a < 4.

Hence no such a exist