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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Analyzing +4 | -1
a,b,ca, b, c are three distinct real numbers in G.P. If a+b+c=xba+b+c=x b, then
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Correct option: A
x<−1x < -1 or, x>3x > 3
Option A (x<−1x < -1 or, x>3x > 3) is correct because the condition for a,b,ca, b, c to be distinct real numbers in G.P. leads to the inequality (x−3)(x+1)>0(x-3)(x+1) > 0, which gives x<−1x < -1 or x>3x > 3.

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