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If az(1)+bz(2)+cz(3)=0 for complex numbe...

If `az_(1)+bz_(2)+cz_(3)=0` for complex numbers `z_(1),z_(2),z_(3)` and real numbers a,b,c then `z_(1),z_(2),z_(3)` lie on a

A

straight line

B

circle

C

depends on the choice of a,b,c

D

none of these

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

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

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

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  6. The vertices of a square are z1,z2,z3 and z4 taken in the anticlockwis...

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

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  8. if the complex no z1 , z2 and z3 represents the vertices of an equ...

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

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

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

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  12. The complex number z satisfying |z+1|=|z-1| and arg (z-1)/(z+1)=pi/4, ...

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

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

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

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  16. If z1, z2, z3, z4 are the four complex numbers represented by the vert...

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

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

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

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

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