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JEE Main Math Class 11 Complex Numbers and Quadratic Equations Part 3 Questions

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Question : 1

Total: 100

For 0<c<b<a, let (a+b−2c)x2+(b+c−2a)x +(c+a−2b)=0 and α≠1 be one of its root. Then, among the two statements
(I) If α∈(−1,0), then b cannot be the geometric mean of a and c
(II) If α∈(0,1), then b may be the geometric mean of a and c

[31-Jan-2024 Shift 1]

Both (I) and (II) are true
Neither (I) nor (II) is true
Only (II) is true
Only (I) is true

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