Q.
The least integral value of ‘a’ for which the equation x2−2(a−1) x +(2a+1)=0 has both the roots positive is
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a
3
b
4
c
1
d
5
answer is B.
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Detailed Solution
If two roots are positive a,b are of different sign and △⩾0 Δ≥0 and coeff of x<0 ⇒4(a−1)2−4(2a+1)≥0 ; −2(a−1)<0⇒a2−4a≥0 ⇒a−1>0 a≤0 or a≥4 ⇒a>1