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If z = x + iy is a complex numbers z for...

If z = x + iy is a complex numbers z for which `|z +i//2|^(2) = |z - i//2|^(2)` then the locus of z is

A

x -axis

B

y - axis

C

y = x

D

2y = x

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The correct Answer is:
A
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AAKASH SERIES-COMPLEX NUMBERS-EXERCISE -II
  1. If |z| = sqrt2 then the point given by "3 + 4z" lies on a circle whos...

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  2. The complex equation |z + 1- i| = |z + i-1| represents a

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  3. If z = x + iy is a complex numbers z for which |z +i//2|^(2) = |z - i/...

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  4. If |z + barz| + |z - barz| = 2 then z lies on

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  5. If |z^(2) - 1| = |z|^(2) + 1 , then z lies on

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  6. If omega is a complex cube root of unity , then sum(k = 1)^(6) ( omega...

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  7. If z(barz+3)=2 then the locus of z = x + iy is

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  8. If alpha + ibeta = tan^(-1) (z) , z = x +iy and alpha is constant then...

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  9. If (z - i)/(z +1) is purely imaginary then the locus of z = x +iy is

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  10. If log (tan 30^(@)) ( (2 |z|^(2) + 2 |z| - 3)/(|z| + 1)) lt -2 , then

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  11. The locus of z satisfying the inequality log ((1)/(3)) |z + 1| gt log(...

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  12. If z(1) = 8 + 4i , z(2) = 6 + 4i and z be a complex number such that ...

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  13. The triangle formed by the points 1 , (1 +i)/(sqrt2) and ias vertices ...

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  14. If |z| =3 , the area of the triangle whose sides are z , omega z and ...

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  15. Let z(1) , z(2) be two roots of the equation z^(2) + az + b = 0 , z be...

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  16. In Argand diagram , O , P , Q represent the origin , z and z +iz resp...

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  17. If a is a complex number and b is a real number then the equation bar...

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  18. The complex numbers z(1) , z(2) and z(3) satisfying (z(1) - z(3))/(z(2...

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  19. The cube roots of unity in an Argand plane represent the vertices of a...

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  20. Let z(1) and z(2) be two non-zero complex numbers such that (z(1))/(z(...

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