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The greatest value of the modulus of the...

The greatest value of the modulus of the complex number `' z '` satisfying the equality `|z+1/z|=1` is: `(-1+sqrt(5))/2` (b) `sqrt((3+sqrt(5))/2)` `sqrt((3-sqrt(5))/2)` (d) `(sqrt(5+1))/2`

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If |z-3i| ltsqrt5 then prove that the complex number z also satisfies the inequality |i(z+1)+1| lt2sqrt5 .

RESONANCE DPP-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  2. Area bounded by a r g(z)=pi/3,A rg(z)=(2pi)/3 and A rg(z-2-i2sqrt(3))...

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  3. The greatest value of the modulus of the complex number ' z ' satisfyi...

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  4. The set of points on a Argand diagram which satisfy bot |z|lt=4&A ...

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  5. The number of solutions of z^3+ z =0 is 2 (b) 3 (c) 4 (d) 5

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  6. If omega is an imaginary cube root of unity, then the value of (p+q)^...

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  7. If z0,z1 represent points P ,Q on the locus |z-1|=1 and the line se...

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  8. Let z1=a+i b and z2=c+i d are two complex number such that |z1|=|z2|...

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  9. The centre of a square is at the point with complex number z0=1+i and...

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  10. Intercept made by the circle zbar z + alphabarz+baralpha z +r=0 on ...

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  11. The triangle formed by complex numbers z ,i z ,i^2z is (a)Equilatera...

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  12. If omega!=1 is n^(t h) root of unity, then value of sum(k=0)^(n-1)...

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  13. If product of the roots of the equation 3x^2-4x+(loga^2-log(-a)+3)=0 i...

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  14. The reflection of the complex number (2-i)/(3+i) , (where i=sqrt(-1) ...

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  15. If 0ltaltbltc and the roots alpha,beta of equation a="" x^2+b="" x+c="...

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  16. A, B, C are the point representing the complex numbers z1,z2,z3 respec...

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  17. ((-1+isqrt(3))/2)^6+((-1-isqrt(3))/2)^6+((-1+isqrt(3))/2)^5+((-1-isqrt...

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  18. The statement (a+i b)<(c+i d) is true for a^2+b^2=0 (b) b^2+d^2=0 ...

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  19. If alpha and beta are the roots of the equation x^2-x+1=0 , then alpha...

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  20. If alpha,beta,gamma are the cube roots of p(p<0), then for any x ,ya n...

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