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Let z be a complex number having the arg...

Let `z` be a complex number having the argument `theta` ,`0` <` theta` < `pi/2`, and satisfying the equation` |z-3i|=3.` Then find the value of `cottheta-6/z`

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If z is a complex number lying in the fourth quadrant of Argand plane ...

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  2. If z=(lambda+3)+isqrt(5-lambda^2) then the locus of Z is

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  3. Let z be a complex number having the argument theta ,0 < theta < pi/2,...

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  4. Given that x^2+x-6 is a factor of 2x^4+x^3-ax^2+b x+a+b-1, find the va...

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  5. If z is any complex number such that |3z-2|+|3z+2|=4 , then identify t...

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  6. If p ,q ,r are positive and are in A.P., the roots of quadratic equat...

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  7. A(z1),B(z2),C(z3) are the vertices of the triangle A B C (in anticlock...

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  8. If |z^2-1|=|z|^2+1, then z lies on (a) The Real axis (b)The imaginary...

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  9. A(z1),B(z2),C(z3) are the vertices of he triangle A B C (in anticlockw...

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  10. The number of points of intersection of two curves y=2sinxa n dy=5x^2+...

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  11. If |z|=1, then the point representing the complex number -1+3z will li...

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  12. If one vertex of a square whose diagonals intersect at the origin is 3...

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  13. If alphaa n dbeta are the roots of x^2+p x+q=0a n dalpha^4,beta^4 ar...

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  14. Find the center of the are represented by a r g[(z-3i)//(z-2i+4)]=pi//...

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  15. Let |zr-r|lt=r ,AAr=1,2,3,... ,n Then |sum(r=1)^n Zr| is less than n ...

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  16. If a^2+b^2+c^2=1,t h e na b+b c+c a lie in the interval [1/3,2] b. ...

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  17. z1a n dz2 are the roots of 3z^2+3z+b=0. if O(0),(z1),(z2) form an equi...

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  18. Consider the given equation 11 z^10 + 10 i z^9 + 10 i z - 11 =0, then ...

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  19. Let alpha,beta be the roots of the equation (x-a)(x-b)=c ,c!=0. Then t...

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  20. If 8iz^3+12z^2-18z+27i=0, then (a). |z|=3/2 (b). |z|=2/3 (c). |z|...

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