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If Re((z+4)/(2z-1)) = 1/2 then z is repr...

If `Re((z+4)/(2z-1)) = 1/2` then z is represented by a point lying on

A

a circle

B

an ellipse

C

a straight line

D

none of these

Text Solution

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-COMPLEX NUMBERS -Chapter Test
  1. If az(1)+bz(2)+cz(3)=0 for complex numbers z(1),z(2),z(3) and real num...

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  2. If 2z1-3z2 + z3=0, then z1, z2 and z3 are represented by

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  3. If Re((z+4)/(2z-1)) = 1/2 then z is represented by a point lying on

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  4. The vertices of a square are z(1),z(2),z(3) and z(4) taken in the anti...

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  5. Let lambda in R . If the origin and the non-real roots of 2z^2+2z+lam...

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  6. If z(1),z(2),z(3), represent vertices of an equilateral triangle such ...

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  7. If P,P^(') represent the complex number z(1) and its additive inverse ...

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  8. Let A(z(1)),B(z(2)),C(z(3)) be the vertices of an equilateral triangle...

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  9. The area of the triangle (in square units) whose vertices are i, omega...

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  10. Show that the complex number z, satisfying the condition arg ((z -1)/(...

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  11. If A,B,C are three points in the Argand plane representing the complex...

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  12. If z(bar(z+alpha))+barz(z+alpha)=0, where alpha is a complex constant,...

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  13. Let A,B,C be three collinear points which are such that AB.AC=1 and th...

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  14. z1, z2, z3,z4 are distinct complex numbers representing the vertices o...

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  15. If z be a complex number, then |z-3-4i|^(2)+|z+4+2i|^(2)=k represent...

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  16. In Argand diagram, O, P, Q represent the origin, z and z+ iz respectiv...

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  17. If (2z(1))/(3z(2)) is purely imaginary number, then |(z(1)-z(2))/(z(1)...

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  18. If omega is a cube root of unity then find the value of sin((omega^(10...

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  19. If center of a regular hexagon is at the origin and one of the vertice...

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  20. if the roots of the equation z^(2) + ( p +iq) z + r + is =0 are real ...

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