JEE Advance - Mathematics (1982 - No. 30)
Does there exist a geometric progression containing $$27, 8$$ and $$12$$ as three of its terms? If it exits, how many such progressions are possible ?
No, such a geometric progression is impossible.
Yes, and there is only one such geometric progression.
Yes, and there are exactly two such geometric progressions.
Yes, and there are a finite number (greater than two) of such geometric progressions.
Yes, and there are infinitely many such geometric progressions.