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If omegais an imaginary cube root of uni...

If `omega`is an imaginary cube root of unit,then the value of the expression `(1+1/omega)(1+1/omega^2)+(2+1/omega)(2+1/omega^2)+(3+1/omega)(3+1/omega^2) `+...+ `(n+1/omega)(n+1/omega^2)`is

A

a)`(n(n^2+2))/3`

B

b)`(n(n^2-2))/3`

C

c)`(n(n^2+1))/3`

D

d)none of these

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UNITED BOOK HOUSE-JODHPUR PARK BOYS'S SCHOOL-EXERCISE
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  3. If omegais an imaginary cube root of unit,then the value of the expres...

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  4. Solution of |2x-3|<|x+2|is

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  5. If the foot of perpendicular from the origin to a straight line is at ...

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  6. The area boundede by the curves y=|x|-1and y=-|x|+1 is

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  7. A ray of light along x+sqrt3y=sqrt3 gets reflected when reaching x-axi...

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  8. Let A, B, and C be the sets such that A ∪ B = A ∪ C and A ∩ B = A ∩ C....

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  9. Find the domain and range of the relation p defined by p={(a,b):b=|a...

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  10. If x be real show that costhetacannot be equal to x+1/x.

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  11. If costheta=tan^2((theta)/2)show that costheta=sqrt2-1

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  12. If tan15^@=x.then show that x^2+2sqrt3x-1=0

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  13. If omegabe an imaginaryb cube root of unity,then prove that,1/(1+2omeg...

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  14. Show that the middle term in the expansion of (x-1/x)^(2n)is (1.3.5.7....

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  15. Find the sum of all factors of the number 3645.

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  16. For any two positive numbers a and b,prove that AMgeGM

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  17. Find the vaue of 9^(1/3)9^(1/9)9^(1/27)...oo

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  18. Prove that the area of a triangle is invariant under the translation o...

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  19. If t1and t2 are the roots of the equation t^2+lambdat+1=0,where lambda...

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  20. Prove that Axx(BcupC)=(AxxB)cup(AxxC)

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