For 0

Question

For 0< {\c}< {\b}< {\a}, let ( {\a}+ {\b}-2 {\c}) {\x}^2+( {\b}+ {\c}-2 {\a}) {\x} +( {\c}+ {\a}-2 {\b})=0 and \alpha 
eq 1 be one of its root. Then, among the two statements
(I) If \alpha \in(-1,0), then b cannot be the geometric mean of {\a} and {\c}
(II) If \alpha \in(0,1), then {\b} may be the geometric mean of {\a} and {\c} [31-Jan-2024 Shift 1]

Examsnet · Accepted Answer

Correct Answer is : Both (I) and (II) are true

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