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