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If (c+i)/(c-i)= a+ ib, where a, b, c are...

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

A

1

B

`-1`

C

`c^2`

D

`-c^2`.

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MODERN PUBLICATION-LINEAR INEQUATIONS-EXERCISE
  1. The area of the triangle with vertices affixed at z, iz, z(1 +i) is:

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

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

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

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

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

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

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

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

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

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

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

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  13. The sum of all real roots of the equation |x-2|^(2)+|x-2|-2=0 is

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  14. The quadratic equation whose roots are three times the roots of 3ax^2 ...

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  15. If a, b, c are real, then both the roots of the equation : (x- b) (x-c...

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  16. If x satisfies the inequations 2x- 7 < 11, 3x+4< -5, then x lies in th...

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  17. The set of all real x satisfying the inequality (3-|x|)/(4-|x|) ge0 is...

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  18. If the area of the triangle formed by the points z, z+iz and iz is 50 ...

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  19. The locus of z such that : arg [(1 - 2i)z-2+ 5i] = pi/4 is a:

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  20. If z= sqrt3+i, then the argument of z^2 e^(z-i) is equal to :

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