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If x=-5+4i then x^4+9x^3+35x^2-x+4=...

If `x=-5+4i` then `x^4+9x^3+35x^2-x+4=`

A

`-170`

B

160

C

170

D

`-160`

Text Solution

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-COMPLEX NUMBERS -EXERCISE 1
  1. If z = 3 + i , then (z+1)(barz+1)=

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  2. If z=3-5i Show that z^(3)-10z^(2)+58z-136=0

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  3. If x=-5+4i then x^4+9x^3+35x^2-x+4=

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  4. If z = 3 + 5i then z^3+barz+198=

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  5. Let z=a-i/2,a inRR " Then "|i+z|^2-|i-z|^2=

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  6. If the first term and common ratio of a G.P are both (1//2) (sqrt(3)+i...

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  7. sum(n=0)^oo((2i)/(3))^n=

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  8. If (a1+ib1)(a2+ib2)......(an+ibn)=A+iB, "then "Tan^(-1)(b1/a1)+Tan^(-1...

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  9. The real value of theta for which the expression (1 -isin theta)/(1 + ...

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  10. If (1-sintheta)/(1+2isintheta) is purely imaginary then theta=

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  11. If (3+2isintheta)/(3-2isintheta) is real , then theta =

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  12. A value of theta for which (2+3isintheta)/(1-2isintheta) is purely ima...

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  13. If (tanalpha-i[sin(alpha//2)+cos(alpha//2)])/(1+2isin(alpha//2)) is pu...

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  14. Find the general value of x if the expression (sin ""(x)/(2) + cos"" (...

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  15. The principal value of the argument -sqrt(3)+i is

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  16. The amplitude of 1+costheta+isintheta is

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  17. The amplitude of (1+sqrt(3)i)/(sqrt(3)+i) is

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  18. If pi//5 and pi//3 are the arguments of barz1 and z2 then the value of...

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  19. If pi//3 and pi//4 are the arguments of z1 and barz2 then the value of...

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  20. If 2pi//3 and pi//6 are the arguments of barz1 and z2 then value of ar...

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