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The complex numbers z=x+iy which satisfy...

The complex numbers `z=x+iy` which satisfy the equation `|(z-5i)/(z+5i)|=1` lie on (a) The x-axis (b) The straight line `y=5` (c) A circle passing through the origin (d) Non of these

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If z=[(sqrt(3)/2)+i/2]^5+[((sqrt(3))/2)-i/2]^5 , then a. R e(z)=0 ...

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

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

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

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

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

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

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

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

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

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

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

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

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  15. Let x1, x2 are the roots of the quadratic equation x^2+a x+b=0,w h e r...

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  16. Solve 3^(2x^2-7x+7)=9.

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  17. Plot the region represented by pi/3lt=a r g((z+1)/(z-1))lt=(2pi)/3 in ...

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  18. How many solutions does the equation(8^x + 27^x)/(12^x +18^x) = 7/6hav...

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  19. Is the following computation correct? If not give the correct compu...

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  20. Consider an equilateral triangle having verticals at point A(2/sqrt3 e...

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