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The locus represented by the equation |z...

The locus represented by the equation `|z-1| = |z-i|` is

A

a circle of radius 1

B

an ellipse with foci at 1 and `-i`

C

a line through the origin

D

a circle on the line joining 1 and `-i` as diameter.

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The correct Answer is:
C
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OBJECTIVE RD SHARMA-COMPLEX NUMBERS -Exercise
  1. Area of the triangle formed by 3 complex numbers, 1+i,i-1,2i, in the A...

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  2. If omega is a complex cube root of unity, then (1-omega+omega^(2))^(6...

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  3. The locus represented by the equation |z-1| = |z-i| is

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  4. If z=i log(23,t h e ncosz= -1 b. -1//2 c. 1 d. 1//2

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  5. If alpha=cos alpha+i sin alpha, b=cos beta+isin beta,c=cos gamma+i sin...

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  6. lf z1,z2,z3 are vertices of an equilateral triangle inscribed in the c...

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  7. The general value of theta which satisfies the equation (costheta+isin...

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  8. If z is a complex numbers such that z ne 0 and "Re"(z)=0, then

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  9. If z + z^(-1)= 1, then find the value of z^(100) + z^(-100).

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  10. Let A,B and C represent the complex number z1, z2, z3 respectively on ...

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  11. Number of solutions of the equation z^(2)+|z|^(2)=0, where z in C, is

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  12. The number of solutions of the equation z^2+z=0 where z is a a complex...

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  13. The centre of a square is at the origin and one of the vertex is 1-i e...

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  14. Let za n domega be two complex numbers such that |z|lt=1,|omega|lt=1a ...

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  15. The system of equation |z+1+i|=sqrt2 and |z|=3}, (where i=sqrt-1) ha...

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  16. The triangle with vertices at the point z1z2,(1-i)z1+i z2 is

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  17. Let alpha and beta be two fixed non-zero complex numbers and 'z' a var...

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  18. The center of a square is at z=0. A is z(1), then the centroid of the ...

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  19. If z=x+i y , then he equation |(2z-i)//(z+1)|=m represents a circle, t...

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  20. If x^2-2xcos theta+1=0, then the value of x^(2n)-2x^n cosntheta+1, n ...

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