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Let and be distinct real numbers. If are in geometric progression and then lies in the set
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a
(1, 3)
b
(–1, 0) ∪ (1, 2)
c
(−∞,−1)∪(3,∞)
d
(0,1)
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Correct option is C
a+b+c=xb⇒br+b+br=xb, where r is commonratio of the G.P and r ≠ 1⇒r+1r=(x−1)But r+1r<−2 or r+1r>2∴x−1<−2 or x−1>2⇒x<−1 or x>3⇒x∈(−∞,−1)∪(3,∞)Similar Questions
If the roots of the equation,
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