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The equation |z+1-i|=|z-1+i| represents ...

The equation `|z+1-i|=|z-1+i|` represents a

A

a line

B

a circle

C

a parabola

D

a hyperbola

Text Solution

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The correct Answer is:
A
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HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
  1. The value of (i)^(i) is

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  2. In the Argand diagram all the complex numbers z satisfying |z-4 i|+|z+...

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

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  4. If z is any complex number satisfying |z-1|=1, then which of the follo...

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  5. If the amplitude of z-2-3 i is (pi)/(4), then the locus of z=x+i y is

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  6. If omega is a non real cube root of unity then (a+b)(a+b omega)(a+b om...

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  7. If sqrt(a+i b)=x+i y, then a possible value of sqrt(a-i b) is

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  8. If i^(2)=-1 then i+i^(2)+i^(3)+…..... . upto 1000 terms is equal to

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  9. If omega is a complex cube root of unity then the value of (p++q omega...

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  10. If alpha, beta and gamma are angles such that tan alpha+tan beta+tan g...

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  11. The polar form of the complex number (i^(25))^(3) is

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  12. For what value of x and y, the complex numbers. 9 y^(2)-4-10 x i and ...

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  13. The point represented by the complex number 2-i is rotated about origi...

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  14. The locus of the point z satisfying arg ((z-1)/(z+1))=k, (where k is n...

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  15. Let omega is an imaginary cube root of unity then the value of 2(1+o...

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  16. If z=(-2)/(1+sqrt(3) i), then the value of arg z is

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  17. If z(1), z(2), z(3) be vertices of an equilateral triangle occurring ...

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  18. If n is a positive integer, then (1+i)^(n)+(1-i)^(n)=

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  19. If omega is a complex cube root of unity then the value of (p++q omega...

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  20. If z is a complex number in the argand plane, then the equation |z-2|+...

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