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The minimum value of 2^(sin x) + 2^(cos ...

The minimum value of `2^(sin x) + 2^(cos x)` is

A

`2^(1 - 1/sqrt2)`

B

`2^(1 + 1/sqrt2)`

C

`2sqrt2`

D

2

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The correct Answer is:
A
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PATHFINDER-PROGRESSION AND SERIES -QUESTION BANK
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  2. If a, b and c are positive numbers in a G.P., then the roots of the qu...

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  3. The minimum value of 2^(sin x) + 2^(cos x) is

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  4. If x, y , z are in A.P and tan^-1 x , tan^-1 y and tan^-1 z are also ...

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  5. The sum of first 20 terms of the sequence 0.7 , 0.77 , 0.777,... is

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  6. The value of 1000[1/(1 xx 2) + 1/(2 xx 3) + .........+1/(999 xx 1000)]...

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  7. Let f : R rarr R be such that f is is injective and f(x) f(y) = f(x + ...

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  8. Five number are in H.P. The middle term is 1 and the ratio of the seco...

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  9. If a, b ,c are in A.P ., then the straight line ax + 2by + c=0 will al...

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  10. Six possible number are in G.P . such that their product is 1000. If t...

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  11. Five number are in A.P. with common difference ne 0. If the 1 st , 3 r...

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  12. Let f(x) = x(1/(x - 1) + 1/x + 1/(x + 1)), x gt 1 , Then

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  13. Let a1 , a2 ,... be in harmonic progression with a1 = 5 and a20 = 25. ...

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  14. Statement 1 : The sum of the series 1 + (1 + 2 + 4)+(4 + 6 + 9) + (9...

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  15. If 100 times the 100 th term of an AP with non zero common different e...

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  16. Six number are in A.P. such that their sum in 3 . The first term is 4 ...

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  17. If 64, 27 , 36 are the Pth , Qth and Rth terms of a G.P., then P + 2Q ...

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  18. Let a, b , c, p , q , r be positive real numbers such that a , b , c a...

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  19. Let Sk be the sum of an infinite G.P. series whose first term is k and...

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  20. Let a1 , a2 , ...., a100 be an arithmetic progression with a1 = 3 and ...

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