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If |2z-1|=|z-2|a n dz1, z2, z3 are comp...

If `|2z-1|=|z-2|a n dz_1, z_2, z_3` are complex numbers such that `|z_1-alpha|lt alpha`,`|z_2-beta|ltbeta,` then= `|(z_1+z_2)/ (alpha+beta)|`a)` lt|z|`b. `<2|z| c. gt|z|` d. `>2|z|`

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If f(x)=(a1x+b1)^2+(a2x+b2)^2+...+(an x+bn)^2 , then prove that (a1b1+...

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  2. If the imaginary part of (2z+1)//(i z+1) is -2, then find the locus of...

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  3. If |2z-1|=|z-2|a n dz1, z2, z3 are complex numbers such that |z1-alph...

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  4. If c is positive and 2a x^2+3b x+5c=0 does not have any real roots, th...

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  5. Find the number of complex numbers which satisfies both the equations ...

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  6. Let omega be the complex number cos((2pi)/3)+isin((2pi)/3). Then the...

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  7. If a x^2+b x+6=0 does not have distinct real roots, then find the leas...

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  8. |z-2-3i|^2+|z-4-3i|^2=lambda represents the equation of the circle wit...

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  9. Match the statements/expressions given in column I with the values ...

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  10. A quadratic trinomial P(x)=a x^2+b x+c is such that the equation P(x)...

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  11. If (sqrt(8)+i)^(50)=3^(49)(a+i b) , then find the value of a^2+b^2dot

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  12. Let a ,b ,c in Q^+ satisfying a > b > c . Which of the following stat...

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  13. Find number of values of complex numbers omega satisfying the system o...

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  14. Match the statements in column-I with those I column-II [Note: Here z ...

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  15. If x ,y in R satify the equation x^2+y^2-4x-2y+5=0, then the value of...

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  16. If |z-i R e(z)|=|z-I m(z)| , then prove that z , lies on the bisectors...

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  17. For any integer k , let alphak=cos((kpi)/7)+isin((kpi)/7),w h e r e i...

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  18. If x=1+1/(3+1/(2+1/(3+1/(2)))) a 52/2 b. 55/71 c. 60/52 d. 71/55

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  19. Show that (x^2+y^2)^4=(x^4-6x^2y^2+y^4)^2+(4x^3y-4x y^3)^2dot

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  20. Let omega= e^((ipi)/3) and a, b, c, x, y, z be non-zero complex numb...

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