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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES
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Three non-zero real numbers form an A.P. and the squares of these numbers taken in the same order form a G.P. Then, then number of all possible values of common ratios of the G.P. is
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Correct option: C
3
The correct answer is C (3) because there are three possible values for the common ratio of the geometric progression formed by the squares of the terms in the arithmetic progression.
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Given the sets , then find the following
(i)
(ii)
(iii) If are in A.P.; are in G.P. and are in G.P., then are in Suppose is expressed as a polynomial in , as where , then equals If and are in , where and c are in , then are the lengths of sides of If the sum of three numbers in G.P. is 63 and the product of the first and the second term is of the third term, then the numbers are If the lengths of sides of a right angled triangle are in A.P., then their ratio is
(i)
(ii)
(iii) If are in A.P.; are in G.P. and are in G.P., then are in Suppose is expressed as a polynomial in , as where , then equals If and are in , where and c are in , then are the lengths of sides of If the sum of three numbers in G.P. is 63 and the product of the first and the second term is of the third term, then the numbers are If the lengths of sides of a right angled triangle are in A.P., then their ratio is
