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If log(tan30^@)((2absz^2+2absz-3)/(absz+...

If `log_(tan30^@)((2absz^2+2absz-3)/(absz+1))lt(-2)`, then

A

`abszlt3/2`

B

`abszgt3/2`

C

`abszgt2`

D

`abszlt2`

Text Solution

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The correct Answer is:
C
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PATHFINDER-COMPLEX NUMBER-QUESTION BANK
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  2. If abs(z+barz)=abs(z-barz), then the locus of z is

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  3. If log(tan30^@)((2absz^2+2absz-3)/(absz+1))lt(-2), then

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  4. The number of solutions of the equation z^2+absz^2=0, where zinc is

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  5. Let z, omega be complex numbers such that barz+ibaromega=0 and arg(z o...

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  6. The number of roots of the equation z^15=1 satisfying abs(argz)ltpi/2 ...

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  7. If A(z1), B(z2), C(z3) are the vertices of an equilateral triangle ABC...

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  8. If 1, omega,omega^2 are the three cube roots of unity, then (1-omega+o...

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  9. If omega is the cube root of unity then cos[(omega^200+1/omega^200)pi+...

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  10. If omega is a complex cube root of unity and (1+omega)^7=A+Bomega then...

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  11. the area of the triangle formed by 1, omega, omega^2 where omega be th...

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  12. The value of i^100+i^101+i^102+i^103

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  13. If argzlt0, then arg(-z)-argz is equal to

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  14. If z1,z2 and z3,z4 are two pairs of conjugate complex numbers, then ar...

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  15. The common roots of the equations z^3+2z^2+2z+1=0 and z^1985+z^100+1=0...

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  16. abs(z-6)ltabs(z-2) its solution is given by

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  17. If abs(z^2-1)=absz^2+1, then z lies on

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  18. If xr=cos(pi/2^r)+isin(pi/2^r) then x1x2x3.......infty=

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  19. The value of [(1+cos(pi/8)+isin(pi/8))/(1+cos(pi/8)-isin(pi/8))]^8 is

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  20. The area of the triangle in the complex plane formed by the points z, ...

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