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If |z-z(1)|=|z-z(2)| then the locus of z...

If `|z-z_(1)|=|z-z_(2)|` then the locus of `z` is :

A

a circle with centre at origin

B

a circle with centre at `z_(1)`

C

a straight line passing through origin

D

the perpendicular bisector of the line joining `z_(1)` and `z_(2)`

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The correct Answer is:
D
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PREMIERS PUBLISHERS-COMPLEX NUMBERS-Problem for practice
  1. Find the correct staements in the following? If P represents the compl...

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  2. If a=3+i and z=2-3i then the points az, 3az and -az are:

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  3. If |z-z(1)|=|z-z(2)| then the locus of z is :

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  4. Find the odd one out .

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  5. (1 + e^(-i theta))/(1 + e^(i theta))=

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  6. Match the following Column I to Column II

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  7. choose the correct pair of statement : (i) (costheta+isintheta)^(n)=...

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  8. Find the incorrect pair of statements: (i) Re(z) ge |z| (ii) |z^(n...

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  9. Find the odd one out .

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  10. If omega is the cube root of unity then Assertion : (1-omega+omega^(...

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  11. Simplify [(i^(4)+i^(9)+i^(16))/(3-2i^(5)-i^(10)-i^(15))]^(10)

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  12. Find x and y if sqrt(x^(2)+3x+8)+(h+4)i=y(2+i)

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  13. P represents the variable complex number z find the locus of z if : ...

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  14. Represents the variable complex number z. Find the locus of P if arg((...

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  15. P represents the variable complex number z find the locus of z if : ...

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  16. Simplify : ((cos3theta+isin3theta)^(2)(cos3theta-isin3theta)^(-3))/((c...

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  17. If alpha and beta are the roots of x^(2)-2x+2=0 and cottheta=y+1,show ...

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  18. If alpha and beta are the roots of x^(2)-2x+2=0 the prove that alpha^(...

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  19. Solve x^(9)-x^(5)+x^(4)-1=0

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  20. show that ((-1+isqrt(3))/(2))^(5)+((-1-isqrt(3))/(2))^(5)=-1

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