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If |z-3| = "min" {|z-1|,|z-5|}, then Re(...

If `|z-3| = "min" {|z-1|,|z-5|}`, then `Re(z)` equals to

A

2

B

`(5)/(2)`

C

`(7)/(2)`

D

4

Text Solution

Verified by Experts

The correct Answer is:
A, D
If `|z-3|= |z-1|`, then z lies on perpendicular bisector of line segment joining '1' and 3. So `Re(z)=2`
If `|z-3|=|z-5|` then z lies on perpendicular bisector of line segment joining '3' and '4'. So. `Re(z)=4`
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CENGAGE-COMPLEX NUMBERS-Exercise (Multiple)
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  4. If z(1),z(2) are tow complex numberes (z(1) ne z(2)) satisfying |z(1)...

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  7. If |z(1)| = sqrt(2), |z(2)| = sqrt(3) and |z(1) + z(2)| = sqrt((5-2sqr...

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  8. Let four points z(1),z(2),z(3),z(4) be in complex plane such that |z...

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  9. A rectangle of maximum area is inscribed in the circle |z-3-4i|=1. If ...

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  10. If |z1|=15a d n|z2-3-4i|=5,t h e n (|z1-z2|)(m in)=5 b. (|z1-z2|)(m i...

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  11. P(z(1)),Q(z(2)),R(z(3)) and S(z(4)) are four complex numbers represent...

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  12. If arg(z+a) = pi//6 and arg(z-a) = 2 pi//3 (a in R^(+)), then

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  13. If a complex number z satisfies |z| = 1 and arg(z-1) = (2pi)/(3), then...

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  14. If |z-1|=1, then

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  15. If z(1) = 5 + 12i and |z(2)| = 4, then

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  16. Let z(1),z(2),z(3) be the three nonzero comple numbers such that z(2)...

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  17. z(1) and z(2) are the roots of the equaiton z^(2) -az + b=0 where ...

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  18. If |(z-z(1))//(z-z(2))| = 3, where z(1) and z(2) are fixed complex ...

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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. System of equaitons |z+3|-|z-3| = 6 and |z-4|=r where r in R^(+) has

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