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If z1,z2, z3 are complex numbers such th...

If `z_1,z_2, z_3` are complex numbers such that `|z_1|=|z_2|=|z_3|=|1/z_1+1/z_2+1/z_3|=1` then `|z_1+z_2+z_3|` is equal to

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  3. If z1,z2, z3 are complex numbers such that |z1|=|z2|=|z3|=|1/z1+1/z2+1...

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  4. if a lt c lt b, then check the nature of roots of the equation (a ...

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  5. Let z1 and z2 be the nth roots of unity which subtend a right angle at...

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  10. If x1, a n dx2 are the roots of x^2+(sintheta-1)x-1/2(cos^2theta)=0, ...

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  11. If y="sec"(tan^(-1)x),t h e n(dy)/(dx)a tx=1 is (a)cos(pi/4) (b) s...

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  12. If p ,q in {1,2,3,4,} , then find the number of equations of form px^2...

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  13. If a^2+b^2=1 t h e n (1+b+i a)/(1+b-i a)= 1 b. 2 c. b+i a d. a+...

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  15. Show that the equation Z^4+2Z^3+3Z^2+4Z+5=0 has no root which is eithe...

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  17. If x in (0,pi//2)a n dcosx=1//3 , then prove that sum(n=0)^oo(cosn x)/...

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  18. Prove that if the equation x^2+9y^2-4x+3=0 is satisfied for real value...

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  19. Let Zp=rp(costhetap+isinthetap),p=1,2,3a n d1/(Z1)+1/(Z2)+1/(Z3)=0. Co...

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  20. Find the least value of ((6x^2-22 x+21))/((5x^2-18x+17)) for real xdot

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