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If `a ,b ,c` and `u ,v ,w` are the complex numbers representing the vertices of two triangles such that `(c=(1-r)a+r b` and `w=(1-r)u+r v ,` where `r` is a complex number, then the two triangles

A

have the same area

B

are similar

C

are congruent

D

none of these

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The correct Answer is:
B
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OBJECTIVE RD SHARMA-COMPLEX NUMBERS -Chapter Test
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  2. If a gt 0 and the equation |z-a^(2)|+|z-2a|=3, represents an ellipse, ...

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  3. For any complex number z , find the minimum value of |z|+|z-2i|dot

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  4. Find the greatest and the least value of |z1+z2| ifz1=24+7ia n d|z2|=6...

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  5. For all complex numbers z1, z2 satisfying |z1| =12 and |z2-3-4i|=5, ...

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  6. If k gt 1, |z(1)| lt k and |(k-z(1)barz(2))/(z(1)-kz(2))|=1, then

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  7. If |z-i|=1 and arg (z) =theta where 0 lt theta lt pi/2, then cottheta-...

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  8. If Re(z)<0 then the value of (1+z+z^2+.....+z^n) cannot exceed

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  9. Let z(1),z(2),z(3) be three complex numbers satisfying 1/z(1)+1/z(2)+1...

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  10. a and b are real numbers between 0 and 1 such that the points z1 =a+ i...

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  11. If omega is a cube root of unity, then find the value of the following...

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  12. If a ,b ,c and u ,v ,w are the complex numbers representing the vertic...

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  13. If z=re^i theta then |e^(iz)| is equal to:

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  14. If a complex number z lies in the interior or on the boundary of a cir...

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  15. Let z1 and z2 be two non - zero complex numbers such that z1/z2+z2/z...

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  16. If z(1),z(2),z(3) be vertices of an equilateral triangle occurig in th...

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  17. Let z be a complex number satisfying |z-5i|<=1 such that amp(z) is min...

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  18. If |z-25i| lt= 15. then |"maximum " arg(z) - "minimum " arg(z)| equals

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  19. Let z be a complex number (not lying on x-axis) of maximum modulus suc...

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  20. The maximum distance from the origin of coordinates to the point z sat...

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