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Sequences and Series question

2024 · 31 Jan · Shift 1 · Q35

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JEE Main
Mathematics
Sequences and Series
2024 · 31 Jan · Shift 1 · Q35

Sequences and Series question

2024 · 31 Jan · Shift 1 · Q35

JEE MainMathematicsSequences and SeriesMCQ+4 / −1

For

0 \lt c \lt b \lt a

, let

(a+b-2c)x^2+(b+c-2a)x+(c+a-2b)=0

and

\alpha \neq 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

A
only (II) is true
B
Both (I) and (II) are true
C
only (I) is true
D
Neither (I) nor (II) is true

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