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JEE Advanced Mathematics question

MathematicsSequence and SeriesJEE Advanced

Let . Then the number of real values of for which the three unequal numbers are in GP is

Answer: (C)

Solution

. GP condition:

(4x+ = (2x+1)(8x+1) ⇒ + 8x + 1 = + 10x

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Question ID VK-107763