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Let w = (sqrt 3 + iota/2) and P = { w^n ...

Let w = (`sqrt 3 + iota/2)` and `P = { w^n : n = 1,2,3, ..... },` Further `H_1 = { z in C: Re(z) > 1/2} and H_2 = { z in c : Re(z) < -1/2}` Where C is set of all complex numbers. If `z_1 in P nn H_1 , z_2 in P nn H_2` and O represent the origin, then `/_Z_1OZ_2` =

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  2. If |z1-1|lt=1,|z2-2|lt=2,|z(3)-3|lt=3, then find the greatest value o...

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  3. Let w = (sqrt 3 + iota/2) and P = { w^n : n = 1,2,3, ..... }, Further ...

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  4. If the roots of equation x^3+a x^2+b=0a r ealpha1,alpha2 and alpha3(a ...

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  5. If z is a complex number, then find the minimum value of |z|+|z-1|+|2z...

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  6. Let |z|=2and w=(z+1)/(z-1),where z ,w , in C (where C is the set of c...

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  7. If alpha,betaa n dgamma are roots of 2x^3+x^2-7=0 , then find the va...

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  8. if z is complex no satisfies the condition | Z |>3. T...

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  11. Locate the region in the Argand plane determined by z^2+ z ^2+2|z^2|<...

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  12. Given z is a complex number with modulus 1. Then the equation [(1+i a)...

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  13. The number of value of k for which [x^2-(k-2)x+k^2]xx""[x^2+k x+(2k-1...

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  14. For any complex number z prove that |R e(z)|+|I m(z)|<=sqrt(2)|z|

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  15. The point z1=3+sqrt(3)i and z2=2sqrt(3)+6i are given on a complex plan...

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  16. The total number of integral values of a so that x^2-(a+1)x+a-1=0 has ...

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  17. If w=z/[z-(1/3)i] and |w|=1, then find the locus of z

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  18. Let C1and C2 be two circles with C2 lying inside C1 A circle C lying i...

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  19. The number of positive integral solutions of x^4-y^4=3789108 is a.0 ...

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  20. The region of argand diagram defined by |z-1|+|z+1|<=4 (1) interior o...

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