Home
Class 12
MATHS
If z=((sqrt3)/(2)+(1)/(2)i)^5+((sqrt3)/(...

If `z=((sqrt3)/(2)+(1)/(2)i)^5+((sqrt3)/(2)-(i)/(2))^5`, then (a) `im(z)=0` (b) `Re(z)gt0`,`Im(z)gt0` (c) `Re(z)gt0`,`Im(z)lt0` (d) `Re(z)=3`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise MATH|21 Videos
  • LIMITS AND DERIVATIVES

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|5 Videos

Similar Questions

Explore conceptually related problems

If z= ((sqrt3)/(2) + (i)/(2))^(107) + ((sqrt3)/(2)-(i)/(2))^(107) , then show that Im(z)=0

If z=((sqrt(3))/2+i/2)^5+((sqrt(3))/2-i/2)^5 , then prove that I m(z)=0.

If z=(sqrt(3)/2+i/2)^5+(sqrt(3)/2-i/2)^5 , then prove that Im(z)=0

If z=[(sqrt(3)/2)+i/2]^5+[((sqrt(3))/2)-i/2]^5 , then a. R e(z)=0 b. I m(z)=0 c. R e(z)>0 d. R e(z)>0,I m(z)<0

If log sqrt(3)((|z|^(2)-|z|+1)/(2+|z|))gt2 , then the locus of z is

|z-i|lt|z+i| represents the region (A) Re(z)gt0 (B) Re(z)lt0 (C) Im(z)gt0 (D) Im(z)lt0

if Im((z+2i)/(z+2))= 0 then z lies on the curve :

If z+sqrt(2)|z+1|+i=0 , then z= (A) 2+i (B) 2-i (C) -2-i (D) -2+i

if (2z-n)/(2z+n)=2i-1,n in N in N and IM(z)=10 , then

If (1+i)^2 /(3 - i) , then Re(z) =

JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAINS-All Questions
  1. If 4x+3y=24 cut at two points A & B, origin is (O) then incentre of /\...

    Text Solution

    |

  2. If f(x)=x^3+x^2f(1)+xf\'\'(2)+f\'\'\'(3). Then f(2) is (a) -2 ...

    Text Solution

    |

  3. If z=((sqrt3)/(2)+(1)/(2)i)^5+((sqrt3)/(2)-(i)/(2))^5, then (a)...

    Text Solution

    |

  4. if sum(r=0)^(25).^(50)C(r)(.^(50-r)C(25-r))=k(.^(50)C25), then k equal...

    Text Solution

    |

  5. If area of an equilateral triangle inscribed in the circle x^2+y^2+10x...

    Text Solution

    |

  6. In curve which satisfies the differential equation (x^2-y^2)dx+2xy\ dy...

    Text Solution

    |

  7. In a Delta ABC,\ angleA+angle B = 120^@, a=sqrt3+1, b=sqrt3-1, then th...

    Text Solution

    |

  8. If mean and standard deviation of 5 observations x(1), x(2), x(3), x(4...

    Text Solution

    |

  9. the length of intercept made by the line sqrt2x-y-4sqrt2=0 on the para...

    Text Solution

    |

  10. If the probability of hitting a target by a shooter, in any shot is 1/...

    Text Solution

    |

  11. If two vertices of a triangle are (0,2) and (4,3) and its orthocentre ...

    Text Solution

    |

  12. The value of cot sum(n=1)^(19)(cot^(-1)(1+sum(p=1)^(n)2p)) is equal to...

    Text Solution

    |

  13. The value of lambda for which the sum of squares of roots of the equat...

    Text Solution

    |

  14. A plane bisects the line segment joining (-3,-3,4) and (3,7,6) and als...

    Text Solution

    |

  15. The number of possible value of theta lies in (0,pi), such that system...

    Text Solution

    |

  16. If int(0)^(x)f(t)dt=x^2+int(x)^(1)\ t^2\ f(t)dt, then f((1)/(2)) is eq...

    Text Solution

    |

  17. Which of the following line is passing through point of intersection o...

    Text Solution

    |

  18. If a1,a2,...,a(10) are in G.P, where aigt0 and S is a set of ordered p...

    Text Solution

    |

  19. Given three statements P: 5 is a prime number, Q : 7 is a factor of 19...

    Text Solution

    |

  20. the value of cos((pi)/(2^2))cos((pi)/(2^3))cos((pi)/(2^4)) .....cos((...

    Text Solution

    |