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If the complex numbers z(1),z(2),z(3) ar...

If the complex numbers `z_(1),z_(2),z_(3)` are in AP, then they lie on

A

a circle

B

a parabola

C

a line

D

an ellipse

Text Solution

Verified by Experts

The correct Answer is:
c
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OBJECTIVE RD SHARMA ENGLISH-COMPLEX NUMBERS -Exercise
  1. If a=sqrt(2i), then which of the following is correct?

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  2. Let z(1),z(2) be two complex numbers such that z(1)+z(2) and z(1)z(2) ...

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  3. If the complex numbers z(1),z(2),z(3) are in AP, then they lie on

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  4. The locus of complex number z for which ((z-1)/(z+1))=k , where k is n...

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  5. The locus of the point z satisfying the condition arg (z-1)/(z+1) = pi...

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  6. If sqrt(x+i y)=+-(a+i b), then findsqrt( x-i ydot)

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  7. The locus of the point z satisfying the condition arg (z-1)/(z+1) = pi...

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  8. IF (sqrt3 + i)^10 = a + i b, then a and b are respectively

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  9. If "Re"((z-8i)/(z+6))=0, then z lies on the curve

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  10. If z=[(sqrt(3)/2)+i/2]^5+[((sqrt(3))/2)-i/2]^5 , then a. R e(z)=0 b. I...

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  11. If z= x + yi and omega = ((1- zi))/(z-i), then |omega|=1 implies that ...

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  12. Let 3-i and 2+i be affixes of two points A and B in the Argand plane a...

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  13. POQ is a straight line through the origin O,P and Q represent the comp...

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  14. If z1=a + ib and z2 = c + id are complex numbers such that |z1|=|z2|=...

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  15. Let z1a n dz2 be complex numbers such that z1!=z2 and |z1|=|z2|dot If ...

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  16. about to only mathematics

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  17. The equation barbz+b barz=c, where b is a non-zero complex constant an...

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  18. If |a(i)|lt1lamda(i)ge0 for i=1,2,3,.......nandlamda(1)+lamda(2)+........

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  19. For any two complex numbers, z(1),z(2) and any two real numbers a and ...

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  20. Common roots of the equation z^(3)+2z^(2)+2z+1=0 and z^(2020)+z^(2018)...

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