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If f(x)=g(x^(3))+xh(x^(3)) is divisiblel...

If `f(x)=g(x^(3))+xh(x^(3))` is divisiblel by `x^(2)+x+1`, then

A

g(x) is divisible by (x-1) but not h(x) but not h(x)

B

h(x) is divisible by (x-1) but not g(x)

C

both g(x) and h(x) are divisible by (x-1)

D

None of above

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The correct Answer is:
C
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ARIHANT MATHS-COMPLEX NUMBERS-Exercise (Single Option Correct Type Questions)
  1. Evaluate int(0)^(1)1/(x^2+1)dx

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  2. Evaluate int1/(x^2+25)dx

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  3. If f(x)=g(x^(3))+xh(x^(3)) is divisiblel by x^(2)+x+1, then

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  4. If the points represented by complex numbers z(1)=a+ib, z(2)=c+id " an...

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  5. Let C and R denote the set of all complex numbers and all real numb...

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  6. Let alpha and beta be two distinct complex numbers, such that abs(alph...

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  7. The complex number z satisfies thc condition |z-25/z|=24. The maximum ...

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  8. The points A,B and C represent the complex numbers z(1),z(2),(1-i)z(1)...

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  9. Find the 6th term of A.P if a=1 , d=2

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  10. Find the 3rd term of A.P if a=1 , d=2

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  11. The centre of circle represented by |z + 1| = 2 |z - 1| in the complex...

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  12. If x=9^(1/3) 9^(1/9) 9^(1/27) ......and if y= 4^(1/3) 4^(-1/9) 4^(1/...

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  13. Find the 5th term of A.P if a=1 , d=2

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  14. Let |Z(r) - r| le r, Aar = 1,2,3….,n. Then |sum(r=1)^(n)z(r)| is less ...

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  15. If arg ((z(1) -(z)/(|z|))/((z)/(|z|))) = (pi)/(2) and |(z)/(|z|)-z(1)|...

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  16. Find the 7th term of A.P if a=1 , d=2

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  17. Find the 10th term of A.P if a=1 , d=2

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  18. If z=(3+7i)(lambda+imu)," when " lambda,mu in I-{0} " and " i=sqrt(-1...

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  19. Given z=f(x)+ig(x) where f,g:(0,1) to (0,1) are real valued functions....

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  20. If z^3+(3+2i)z+(-1+i a)=0 has one real roots, then the value of a lies...

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