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If a^(2) +(1)/(a^(2)) = 2, then a - (1)/...

If `a^(2) +(1)/(a^(2)) = 2`, then `a - (1)/(a) = `?

A

0

B

2

C

`1//2`

D

`1//4`

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The correct Answer is:
A
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The following steps are involved in finding the value of a^(4) + (1)/(a^(4)) when a + (1)/(a) = 1 . Arrange them in sequential order from the first to the last . (A) a^(2) + (1)/(a^(2)) + 2 = 1 implies a^(2) + (1)/(a^(2)) = -1 (B) (a^(2))^(2) + ((1)/(a^(2))^(2))^(2) = 1^(2) (C) (a + (1)/(a))^(2) = 1^(2) (D) (a^(2) + (1)/(a^(2)))^(2) = (-1)^(2) E a^(4) + (1)/(a^(4)) = -1

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If x=(1)/(1^(2))+(1)/(3^(2))+(1)/(5^(2))+ . . . y=(1)/(1^(2))+(3)/(2^(2))+(1)/(3^(2))+(3)/(4^(2))+ . . . . z=(1)/(1^(2))-(1)/(2^(2))+(1)/(3^(2))-(1)/(4^(2))+ . . .then

What is sqrt(1 + 1/1^(2) + 1/2^(2)) + sqrt(1 + 1/2^(2) + 1/3^(2)) +.... + sqrt(1+ 1/2007^(2) + 1/2008^(2)) equal to?

lim_ (n rarr oo) [(1+ (1) / (n ^ (2)))) (1+ (2 ^ (2)) / (n ^ (2))) (1+ (3 ^ (2) ) / (n ^ (2))) ...... (1+ (n ^ (2)) / (n ^ (2)))] ^ ((1) / (n))

If x=(1)/(1^(2))+(1)/(3^(2))+(1)/(5^(2))+.... , y=(1)/(1^(2))+(3)/(2^(2))+(1)/(3^(2))+(3)/(4^(2))+.... and z=(1)/(1^(2))-(1)/(2^(2))+(1)/(3^(2))-(1)/(4^(2))+... then

ARIHANT PUBLICATION PUNJAB-SOLVED PAPER 2018-SECTION D MATHEMATICS
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