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Find the modulus, argument, and the prin...

Find the modulus, argument, and the principal argument of the complex numbers. `(i-1)/(i(1-cos((2pi)/5))+sin((2pi)/5)`

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  4. Find the principal argument of the complex number ((1+i)^5(1+sqrt(3i))...

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  5. Column I, Column II: possible argument of z=a+i b a b >0 , p. tan^(...

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  6. If the expression x^2+2(a+b+c)+3(b c+c+a b) is a perfect square, then ...

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  7. Find the point of intersection of the curves a r g(z-3i)=(3pi)/4a n d ...

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  8. The curve y=(lambda+1)x^2+2 intersects the curve y=lambdax+3 in exac...

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  9. Column I, Column II (one of the values of z ) z^4-1=0 , p. z=cospi/...

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  10. Let za n dw be two nonzero complex numbers such that |z|=|w|a n d arg...

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  11. The number of irrational roots of the equation (4x)/(x^2+x+3)+(5x)/(x^...

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  12. If |z+barz|+|z-barz|=2 then z lies on (a) a straight line (b) a set of...

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  13. If one vertex of the triangle having maximum area that can be inscribe...

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  14. The number of complex numbers z satisfying |z-3-i|=|z-9-i|a n d|z-3+3i...

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  15. If the equation x^2-3p x+2q=0a n dx^2-3a x+2b=0 have a common roots a...

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  16. Solve the equation 3^(x^2-x)+4^(x^2-x)=25.

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  17. If t and c are two complex numbers such that |t|!=|c|,|t|=1a n dz=(a t...

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  18. Consider the circle |z|=r in the Argand plane, which is in fact the in...

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  19. Solve the equation 12x^4-56 x^3+89 x^2-56 x+12=0.

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  20. P is a point on the argand diagram on the circle with OP as diameter t...

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