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If ((1-i)/(1+i))^ris always real then th...

If `((1-i)/(1+i))^r`is always real then the least value of r is

A

a)8

B

b)6

C

c)4

D

d)2

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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 3-EXERCISE
  1. 5^(2n+1)+3^(4n+2) (n in N)is divisible by

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  2. If P, 2P + 2, 3P + 3 are in G.P. the 4th term Will be

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  3. If ((1-i)/(1+i))^ris always real then the least value of r is

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  4. The straight line 3x+y=9 divides the straight line segment joining the...

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  5. If the pointP(at^2,2at) is a end point of a chord of the parabolay^2=...

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  6. The value oflim(xrarrpi)sinx/(x-pi)is

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  7. If y=sinxsinalpha,then dy/dx=

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  8. The median of 22,20, 22, 25, 19, 30, 27 is

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  9. variance of 1st n natural number is

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  10. (A^c cup A)^c=phi is the relation true of false? Give reason.

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  11. If the realtion R defined as the set S = {1.-2, 3, 4},,AA,a,b in s,aRb...

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  12. Show that sectheta+tantheta=tan(pi/4+theta/2)

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  13. In /\ABC, if a = 3. b = 5 and c =7, show that the triangle is obtused.

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  14. If | z + 2 | + | z - 2 | le 6, find the maximum value of I z I.

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  15. If m=^nC2show that ^mC2=3^(n+1)C4

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  16. If a+b=3,then show that the minimum value of |a+ib|=is 3/sqrt2

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  17. Find the sum of the following infinite G.P series 0.9+0.81+0.792+….

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  18. Show that the distance between (1,-1) and ((2m^2)/(1+m^2),(1-m)^2/(1+m...

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  19. Find the radius of sphere passing through (2,0,1) and having centre(0,...

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  20. Prove that lim(xrarroo)(1+1/x)^x=e

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