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If z is a complex number such that |z|=4...

If `z` is a complex number such that `|z|=4` and `a r g(z)=(5pi)/6` , then `z` is equal to `-2sqrt(3)+2i` b. `2sqrt(3)+i` c. `2sqrt(3)-2i` d. `-sqrt(3)+i`

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RESONANCE DPP-JEE MAINS-All Questions
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  2. Let |z1|=|"z"2|="p"/2 then "|z1+z2|^2+|z1-z2|^2= a.p^2 b. (p^2)...

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  3. If z is a complex number such that |z|=4 and a r g(z)=(5pi)/6 , then z...

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  4. Show that the relation geq on the set R of all real numbers is r...

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  5. The polar form of the complex number (i^(25))^3 is (a) cos(pi/2)+isin(...

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  6. ((1+sintheta+i costheta)/(1+sintheta-i costheta))^n is equal to

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  7. If 3^(49)(x+i y)=(3/2+(sqrt(3))/2i)^(100) and x=k y then k is: a.-...

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  8. If(5z2)/(7z1) is purely imaginary, then |(2z1+3z2)/(2z1-3z2)|= (A)...

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  9. If complex number (3+2i sin x)/(1-2i sin x) is purely imaginary then ...

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

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  11. If the area of the triangle on the complex plane formed by the points ...

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  12. If alpha + beta + gamma = pi, then the value of the determinant |(e^...

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  13. If vec a is perpendicular to vec b and vec r is non-zero vector suc...

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  14. int(1+x^4)/((1-x^4)^(3/2))dx i s e q u a l to 1/(sqrt(...

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  15. Evaluate: int(sin^3x dx)/((cos^4x+3cos^2x+1)tan^(-1)(secx+cosx)

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  16. int(sin^4x-cos^4x)dx is equal to

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  17. inte^(xlna)*e^x dx

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  18. If the line (x-2)/5=(y+10)/2=(z+3)/2 meets the curve x y=a^2,z=1, then...

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  19. The value of the integral int(e^(5logx)-e^(4logx))/(e^(3logx)-e^(2logx...

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  20. For any two vec aa n d vec b ,( vec axx hat i)dot( vec bxx hat i)+( v...

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