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Let omega ne 1 be a complex cube r...

Let ` omega ne 1 ` be a complex cube root of unity. If
` ( 4 + 5 omega + 6 omega ^(2)) ^(n^(2) + 2) + ( 6 + 5omega^(2) + 4 omega ) ^(n ^(2) + 2) + ( 5+ 6 omega + 4 omega ^(2) ) ^( n ^(2) + 2 ) = 0`, and ` n in N ` , where `n in [1, 100]`, then number of values of n is _______.

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Let R be the real line. Consider the following subsets of the plane ...

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  2. Let f(x)=sinx ,g(x)=cosx , then which of the following statement is ...

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  3. Let omega ne 1 be a complex cube root of unity. If ( 4 + ...

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  4. Let U" "=" "{1," "2," "3," "4," "5," "6," "7," "8," "9," "10} and A" "...

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  5. A curve y = (x) which passes through (4,0) satisfy the differential ...

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  6. The coefficient of x^3 in the expansion of (1+2x+3x^2)^(10) is - (1)...

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  7. if f(x) is differentiable function such that f(1) = sin 1, f (2)= sin ...

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  8. Domain of the function f(x)=sqrt(2-sec^(-1)x) is

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  9. If the 7th tern in the binomial expansion of (3/((84)^(1/3)) +sqrt(3) ...

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  10. Normals are drawn from the point P with slopes m(1),m(2)andm(3) to tha...

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  11. If (b+c-a)/a ,(c+a-b)/b ,(a+b-c)/c , are in A.P., prove that 1/a ,1/b ...

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  12. The asymptotes of the hyperbola x y=h x+k y are x-k=0 and y-h=0 x+h=0...

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  13. A movable parabola touches the x and the y-axes at (1,0)a n d(0,1) . T...

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  14. If parabolas y^(2)=lamdaxand25[(x-3)^(2)+(y+2)^(2)]=(3x-4y-2)^(2) are ...

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  15. The number of real tangents that can be drawn to the ellipse...

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  16. The curve represented by x=2(cost+sint) and y = 5(cos t-sin t ) is

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  17. Set of value of m for which a chord of slope m of the circle x^2+y^2=4...

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  18. If int(3x^(2)+2x)/(x^(6)+2x^(5)+x^(4)+2x^(3)+2x^(2)+5)dx = F(x), then ...

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  19. If f(x)=int0^x(sint)/t dt ,x >0, then (a)f(x) has a local maxima at x=...

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  20. If P(A/C) gt P(B/C) and P(A/(bar C)) gt P(B/(bar C)), then the relatio...

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