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The point z1=3+sqrt(3)i and z2=2sqrt(3)+...

The point `z_1=3+sqrt(3)i` and `z_2=2sqrt(3)+6i` are given on a complex plane. The complex number lying on the bisector of the angel formed by the vectors `z_1a n dz_2` is `z=((3+2sqrt(3)))/2+(sqrt(3)+2)/2i` `z=5+5i` `z=-1-i` none of these

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. The number of value of k for which [x^2-(k-2)x+k^2]xx""[x^2+k x+(2k-1...

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  2. For any complex number z prove that |R e(z)|+|I m(z)|<=sqrt(2)|z|

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  3. The point z1=3+sqrt(3)i and z2=2sqrt(3)+6i are given on a complex plan...

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  4. The total number of integral values of a so that x^2-(a+1)x+a-1=0 has ...

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  5. If w=z/[z-(1/3)i] and |w|=1, then find the locus of z

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  6. Let C1and C2 be two circles with C2 lying inside C1 A circle C lying i...

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  7. The number of positive integral solutions of x^4-y^4=3789108 is a.0 ...

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  8. The region of argand diagram defined by |z-1|+|z+1|<=4 (1) interior o...

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

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  10. If alpha,beta are the roots of x^2+p x+q=0a n dx^(2n)+p^n x^n+q^n=0a n...

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  11. If (log)(sqrt(3))((|z|^2-|z|+1)/(2+|z|))>2, then locate the region in ...

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  12. If z=((1+isqrt3)^2)/(4i(1-isqrt3)) is a complex number then a. arg(...

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  13. If alpha,beta,gamma are such that alpha+beta+gamma=2,""alpha^2+beta^2+...

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  14. If z=3/(2+costheta+"isin"theta) then locus of z is straight line a c...

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  15. If z=x +i y such that |z+1|=|z-1| and arg((z-1)/(z+1))=pi/4 , then fin...

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  16. If x y=2(x+y),xlt=y and x ,y in N , then the number of solutions of t...

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  17. If I m((z-1)/(e^(thetai))+(e^(thetai))/(z-1))=0 , then find the locus ...

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  18. If pa n dq are distinct prime numbers, then the number of distinct im...

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  19. The number of real solutions of the equation (9//10)^x=-3+x-x^2 is a. ...

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  20. What is locus of z if |z-1-sin^(-1)(1/sqrt3)|+|z+cos^(-1)(1/sqrt3)-p...

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