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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES
1
Medium
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Application
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If are in A.P., then are in
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Correct option: A
A.P.
Option A (A.P.) is correct because if a, b, c are in A.P., then a + 1/bc, b + 1/ca, c + 1/ab are also in A.P.
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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