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If omega is a complex cube root of unity...

If `omega` is a complex cube root of unity, then the equation `|z- omega|^2+|z-omega^2|^2=lambda` will represent a circle, if

A

4

B

3

C

2

D

`sqrt(2)`

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The correct Answer is:
B
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OBJECTIVE RD SHARMA-COMPLEX NUMBERS -Exercise
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  2. The roots of the cubic equation (z + alpha beta)^3 = alpha^3 , alpha ...

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  3. If alpha,beta,gamma and delta are the equation x^(4)-1 = 0, then the v...

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  4. If omega is a complex cube root of unity, then the equation |z- omega|...

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  5. If omega is a complex cube root of unity, then the equation |z- omega|...

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  8. Let z=1-t+isqrt(t^2+t+2), where t is a real parameter.the locus of the...

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  10. If 1,alpha,alpha^(2),………..,alpha^(n-1) are the n, n^(th) roots of unit...

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  11. If z(r)(r=0,1,2,…………,6) be the roots of the equation (z+1)^(7)+z^7=0...

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  12. The least positive integer n for which ((1+i)/(1-i))^n= 2/pi sin^-1 (...

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  13. The area of the triangle formed by the points representing -z,iz and z...

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  14. If z(0)=(1-i)/2, then the value of the product (1+z(0))(1+z(0)^(2))(1+...

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  15. The greatest positive argument of complex number satisfying |z-4|=R e(...

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  16. If the points in the complex plane satisfy the equations log(5)(|z|+3)...

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  17. A complex number z with (Im)(z)=4 and a positive integer n be such tha...

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  18. If arg ((z(1) -(z)/(|z|))/((z)/(|z|))) = (pi)/(2) and |(z)/(|z|)-z(1)|...

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  19. If z(1) and z(2) satisfy the equation 2|z+3|=|"Re"(z)| and arg(z+3)/(1...

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  20. If A=|z in C: z=x+ix-1 for all x in R} and |z| le |omega| for all z, o...

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