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If z=x+iy and w=(1-iz)/(z-i), then |w|=...

If `z=x+iy` and `w=(1-iz)/(z-i)`, then `|w|=1` implies that in the complex plane (A)`z` lies on imaginary axis (B) `z` lies on real axis (C)`z` lies on unit circle (D) None of these

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. The points, z1,z2,z3,z4, in the complex plane are the vertices of a pa...

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  2. Using differentiation method check how many roots of the equation x^3-...

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  3. If z=x+iy and w=(1-iz)/(z-i), then |w|=1 implies that in the complex ...

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  4. If the difference between the roots of the equation x^2+""a x""+""1...

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  5. |z-4| < |z-2| represents the region given by: (a) Re(z) > 0 (b) Re(z) ...

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  6. Find how many roots of the equations x^4+2x^2-8x+3=0.

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  7. If z=[(sqrt(3)/2)+i/2]^5+[((sqrt(3))/2)-i/2]^5 , then a. R e(z)=0 b. I...

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  8. How many real solutions does the equation x^7+14 x^5+16 x^3+30 x-560=0...

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  9. The complex numbers z=x+iy which satisfy the equation |(z-5i)/(z+5i)|=...

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  10. Solve sqrt(5x^2-6x+8)-sqrt(5x^2-6x-7)=1.

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  11. The smallest positive integer n for which ((1+i)/(1-i))^n=1 is (a)8...

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  12. Solve sqrt(3x^2-7x-30)+sqrt(2x^2-7x-5)=x+5.

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  13. If the cube roots of unity are 1,omega,omega^2, then the roots of the ...

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  14. If x= (7+4sqrt(3)), prove that x+1//x= 14

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  15. Prove that the locus of midpoint of line segment intercepted between ...

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  16. Solve sqrt(5x^2-6x+8)-sqrt(5x^2-6x-7)=1.

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  17. Show that: sum(r=0)^(n-1)|z1+alpha^r z2|^2=n(|z1|^2+|z2|^2),w h e r e,...

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  18. Solve sqrt(x^2+4x-21)+sqrt(x^2-x-6)=sqrt(6x^2-5x-39.)

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  19. If alpha=(z-i)(z+i), show that, when z lies above the real axis, alpha...

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  20. Solve 4^x+6^x=9^xdot

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