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Let z=x+i y be a complex number, where ...

Let `z=x+i y` be a complex number, where `xa n dy` are real numbers. Let `Aa n dB` be the sets defined by `A={z :|z|lt=2}a n dB={z :(1-i)z+(1+i)bar z geq4}` . Find the area of region `AnnB`

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  2. If |[6i,-3i,1],[ 4, 3i,-1],[ 20, 3,i]|=x+i y , then a.x=3,y=1 b. x=1,y...

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  3. Let z=x+i y be a complex number, where xa n dy are real numbers. Let...

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  4. If z=((sqrt(3))/2+i/2)^5+((sqrt(3))/2-i/2)^5 , then prove that I m(z)=...

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  5. The value of sum(n=1)^(13) (i^n+i^(n+1)), where i =sqrt(-1) equals ...

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  6. If c!=0 and the equation p//(2x)=a//(x+c)+b//(x-c) has two equal roots...

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  7. If the equation 4x^2-x-1=0 and 3x^2+(lambda+mu)x+lambda-mu=0 have a r...

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  8. Express the following in a+i b form: ((cos2theta-isin2theta)^4(cos4...

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  9. The roots of the equation t^3+3a t^2+3b t+c=0a r ez1, z2, z3 which rep...

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  10. Solve the equation (x-1)^3+8=0 in the set C of all complex numbers.

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

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

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

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

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

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

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

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  18. 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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  19. Find the square root 9+40 idot

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

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