Sequences and Series 5 Question 22

13. The sum of the squares of three distinct real numbers, which are in GP, is S2. If their sum is aS, then show that

a213,1(1,3)

(1986,5M)

Integer Answer Type Questions

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Solution:

  1. Here, α(0,π2)tanα>0

x2+x+tan2αx2+x2x2+xtan2αx2+x

[using AM GM ]

x2+x+tan2αx2+x2tanα



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