Q.

If 2 lies between the roots of quadratic equation x2−ax+a=0, then

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a

0

b

a<4

c

a>4

d

None

answer is C.

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Detailed Solution

The given equation is x2−ax+a=0 Let roots be α,  βGiven that,  α<2<β⇒ discriminant a2−4a>0,  ⇒a<0   or  a>4→1If 2 lies between the  given equation then 1f2<0⇒ 4−2a+a<0⇒   a>4→2Hence from 1,2⇒a>4
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