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The locus of z such that : arg [(1 - 2i)...

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

A

line not passing through the origin

B

circle not passing through the origin

C

line passing through the origin

D

circle passing through the origin.

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MODERN PUBLICATION-LINEAR INEQUATIONS-EXERCISE
  1. The set of all real x satisfying the inequality (3-|x|)/(4-|x|) ge0 is...

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

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

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

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  5. If omega ne 1 and omega^3=1, then : (a omega+b+c omega^2)/(a omega^2+...

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  6. The centre of a regular hexagon is at the point z = i. If one of its v...

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  7. If the roots of the equation 1/(x+p)+1/(x+q)=1/r, (x ne -p, x ne -q, r...

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  8. The solution of the equation : (3+2 sqrt2)^(x^2-8)+ (3+2 sqrt2)^(8-x^2...

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  9. If 2 - i is a root of the equation ax^2+ 12x + b=0 (where a and b are ...

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  10. If one root of the equation lx^2+mx+n=0 is 9/2 (l, m and n are positiv...

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  11. If x^2+ 4ax +2 >0 for all values of x, then a lies in the interval:

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  12. If x+iy= sqrt(((a+ib))/((c+id))), then x^2+y^2 equals :

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  13. The solution of the equation |z|-z=1+2i is :

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  14. If alpha and beta are the roots of x^2+x+1=0, then alpha^16 + beta^16 ...

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  15. The complex number (1+2i)/(1-i) lies in:

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  16. If P is a point in the Argand diagram corresponding to the complex num...

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  17. The smallest positive integral value of ‘n’ such that [(1+sin frac (pi...

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  18. For (|x-1|)/(x+2) <1, x lies in the interval :

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  19. If a, b, c >0 and if abc=1, then the Value of a+b+c+ab+bc+ca lies in t...

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  20. Let z and w be two complex numbers such that |z|le1, |w|le1 and |z-iw|...

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