Question

If 2 lies between the roots of quadratic equation $x^2$ - ax + a = 0, then ;

• A. 0 < a < 4
• B. a < 4
• C. a > 4
• D. None

Answer 1

The correct option is C

a > 4

Lets roots be $\alpha ,\beta ,\alpha$ < 2 < $\beta$

$\Rightarrow$ $a^2-4a$ > 0 , 4 - 2a + a < 0

$\Rightarrow$ ( a < 0 or a > 4 ) and a > 4 .

Hence a > 4 .