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The complex number z = x + iy, which sat...

The complex number `z = x + iy`, which satisfies the equation `|(z-5i)/(z+5i)| =1`, lies on:

A

the line y = 5

B

a circle through the origin

C

the x-axis

D

None of these.

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MODERN PUBLICATION-LINEAR INEQUATIONS-EXERCISE
  1. The points representing the complex numbers z for which |z+3|^2 -|z-3|...

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  2. One of the values of (-i)^(1//3) is :

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  3. The complex number z = x + iy, which satisfies the equation |(z-5i)/(z...

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  4. In complex plane, the equation |z+ bar z|=|z- bar z| represents :

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  5. For complex numbers u, v, one always has :

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  6. If ((1+i)/(1-i))^n =1, then the smallest value of n is :

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  7. Which of the following is correct ?

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  8. In the Argand diagram. if O, P and Q represent respectively the origin...

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  9. The area of the triangle with vertices affixed at z, iz, z(1 +i) is:

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  10. Multiplication of a complex z by i corresponds to :

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  11. If (c+i)/(c-i)= a+ ib, where a, b, c are real, then a^2+ b^2 equals :

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  12. If i^2=-1, then the value of overset (200) underset (n=1) (sum) i^n is...

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  13. If the conjugate of (x + iy) (1-2i) be 1+i, then :

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  14. Mathematical Induction shows that the inequality log (n!) >n/2 holds :

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  15. The inequality n ! > 2^(n-1) is true:

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  16. The number of solutions of the equation z^2+ bar z=0 is :

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  17. If alpha, beta are the roots fo the equation lamda(x^(2)-x)+x+55=0. If...

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  18. The modulus of (1-i)/(3+i)+(4i)/5 is :

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  19. For any complex number z, the minimum value of |z|+|z-1| is :

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  20. If alpha, beta are the roots of x^2-a(x-1)+b=0, then the value of 1/(a...

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