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If 'z, lies on the circle |z-2i|=2sqrt...

If 'z, lies on the circle `|z-2i|=2sqrt2`, then the value of `arg((z-2)/(z+2))` is the equal to

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  2. Solve the equation (x-1)^3+8=0 in the set C of all complex numbers.

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  3. If 'z, lies on the circle |z-2i|=2sqrt2, then the value of arg((z...

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  4. If the equation whose roots are the squares of the roots of the cubic ...

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  5. If sqrt(3)+i=(a+i b)(c+i d) , then find the value of tan^(-1)(b//a)+ta...

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  6. P(z) be a variable point in the Argand plane such that |z|=minimum {|z...

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  7. If the equation a x^2+b x+c=0,a ,b ,c , in R have none-real roots, t...

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  8. Prove that the equation Z^3+i Z-1=0 has no real roots.

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  9. The locus of point z satisfying Re(1/z)=k, where k is a non-zero real ...

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  10. If p(q-r)x^2+q(r-p)x+r(p-q)=0 has equal roots, then prove that 2/q=1/p...

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  11. Find the square root 9+40 idot

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  12. Let alpha,beta in Rdot If alpha,beta^2 are the roots of quadratic e...

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  13. Let a be a complex number such that |a|<1a n dz1, z2,z3,... be the ve...

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  14. Let lambda in R . If the origin and the non-real roots of 2z^2+2z+lam...

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  15. If the ratio of the roots of the equation x^2+p x+q=0 are equal to rat...

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  16. Let z=1-t+isqrt(t^2+t+2), where t is real parameter. The locus of z in...

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  17. If sintheta,costheta be the roots of a x^2+b x+c=0 , then prove that b...

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  18. Express the following complex numbers in a+i b form: ((3-2i)(2+3i))/((...

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  19. If a ,b ,c are nonzero real numbers and a z^2+b z+c+i=0 has purely i...

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  20. z^2+zabsz+absz^2=0 then the locus of z is

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