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If g(x) and h(x) are two polynomials suc...

If `g(x)` and `h(x)` are two polynomials such that the polynomials `P(x)=g(x^(3))+xh(x^(3))` is divisible by `x^(2)+x+1`, then which one of the following is not true?

A

`g(1)=h(1)=0`

B

`g(1)=h(1) ne 0`

C

`g(1) =-h(1)`

D

`g(1) + h(1)=0`

Text Solution

Verified by Experts

The correct Answer is:
b
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OBJECTIVE RD SHARMA ENGLISH-COMPLEX NUMBERS -Exercise
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  4. if x(k) = cos pi/3^(k) + isin pi/3^(k) , find x(1)x(2)x(3)……oo (...

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  5. If (a1+ib1)(a2+ib2).....(an+ibn)=A+iB, then (a1^2+b1^2)(a2^2+b2^2).......

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  6. If (a(1)+ib(1))(a(2)+ib(2))………………(a(n)+ib(n))=A+iB, then sum(i=1)^(n) ...

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  7. If cosalpha+2cosbeta+3cosgamma=sinalpha+2sinbeta+3singamma=0,t h e nt ...

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  8. If alpha,betaandgamma are the cube roots of P(p)lt0), then for any x, ...

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  10. Find the relation if z1, z2, z3, z4 are the affixes of the vertices of...

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  11. The locus of the points representing the complex numbers z for which |...

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  12. For n=6k, k in z, ((1-isqrt(3))/(2))^(n)+((-1-isqrt(3))/(2))^(n) has t...

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  13. The product of all values of (cosalpha+isinalpha)^(3//5) is

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  14. If C^(2)+S^(2)=1, then (1+C+iS)/(1+C-iS) is equal to

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  15. The centre of a square ABCD is at z=0, A is z(1). Then, the centroid o...

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  16. The number of solutions of the system of equations "Re(z^(2))=0, |z|=2...

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  17. The vector z=-4+5i is turned counter clockwise through an angle of 180...

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  18. The value of [sqrt(2)(cos(56^(@)15^('))+isin(56^(@)15^('))]^(8), is

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  19. Find the complex number z satisfying the equation |(z-12)/(z-8i)|= (5)...

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  20. The vertices B and D of a parallelogram are 1-2i and 4-2i If the diago...

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