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The smallest integer n such that ((1 + i...

The smallest integer n such that `((1 + i)/(1-i))^(n) = 1` is

A

2

B

4

C

8

D

6

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The correct Answer is:
B
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KCET PREVIOUS YEAR PAPERS-MODEL TEST PAPER 9-Mathematics
  1. cos^(-1).(2)/(sqrt(5)) + tan^(-1).(1)/(3) =

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  2. (1 + i)^(5) + (1 - i)^(5) =

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  3. The smallest integer n such that ((1 + i)/(1-i))^(n) = 1 is

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  4. cos[tan^(-1) {sin(cot^(-1) x)}] =

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  5. The general value of theta which satisfies the equation (cos theta + i...

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  6. The length of the tangent from the point (1, -4) to the circle 2x^(2) ...

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  7. For the circles x^(2) + y^(2) - 2x + 3y + k = 0 and x^(2) + y^(2) + 8x...

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  8. The equation to the parabola with focus (2, 0) and the directrix x + 3...

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  9. If 2y = 5x + k is a tangent to the parabola y^(2) = 6x then k =

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  10. The length of the latus - rectum of the ellipse (x^(2))/(25) + (y^(2))...

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  11. P is any point on the ellipse 9x^(2) + 36y^(2) = 324 whose foci are S ...

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  12. The product of the perpendiculars from the foci on any tangent to the ...

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  13. int(e^(sqrt(x)))/(sqrt(x)) dx =

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  14. underset(0)overset(a)int sqrt(a^(2) - x^(2)) dx =

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  15. int(0)^(pi//2)(dx)/(a^(2)cos^(2)x + b^(2) sin^(2) x) =

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  16. int(0)^(pi//2) log sin x dx =

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  17. {:(Lt),(n->oo):}[(1)/(n+1) + (1)/(n+2) + … "to n terms"] =

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  18. The area enclosed within the curve |x|+|y| = 1 is

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  19. int(x^(2) + 1)/(x^(4) + 1) dx =

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  20. If the position vectors of vec(A) and vec(B) are 3hat(i) - 2hat(j) + h...

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