Home
Class 12
MATHS
if (2z-n)/(2z+n)=2i-1,n in N in N and IM...

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

A

`n = 20` and `Re(z) =- 10`

B

`n = 40` and `Re (z) = 10`

C

`n = 40` and `Re(z) =- 10`

D

`n = 20` and `Re(z) = 10`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • JEE MAINS

    JEE MAINS PREVIOUS YEAR|Exercise Physics|30 Videos

  • JEE MAIN 2024 ACTUAL PAPER

    JEE MAINS PREVIOUS YEAR|Exercise Question|598 Videos

  • JEE MAINS 2020

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS|250 Videos

Similar Questions

Explore conceptually related problems

{n(n+1)(2n+1):n in Z} is a subset of

f:Z rarr Z and g:Z rarr Z are defined as follows: f(n)=(n+2, n even and 2n-1, n odd and g(n)=(2n, n even and (n-1)/(2),n odd,Find fog and gof

If tan A = 1, tan B = 2, tan C = 3, then A+B+C = (i) (n pi)/(2); n in Z (ii) (n pi); n in Z ( iii) (n pi)/(4); n in Z (iv) (2n pi)/(3); n in Z

If z=x+iy is a complex number with x,y in Q and |z|=1, then show that |z^(2n)-1| is a rational numberfor every n in N

Let N be the set of all natural numbers, Z be the set of all integers and sigma:N to Z defined by sigma (n) = {{:(n/2, "," "if n is even"),( - (n-1)/(2) , "," "if n is odd "):} then

If z_(1),z_(2),……………,z_(n) lie on the circle |z|=R , then |z_(1)+z_(2)+…………….+z_(n)|-R^(2)|1/z_(1)+1/z_(2)+…….+1/z-(n)| is equal to

If z_(1),z_(2),z_(3),…,z_(n-1) are the roots of the equation z^(n-1)+z^(n-2)+z^(n-3)+…+z+1=0 , where n in N, n gt 2 and omega is the cube root of unity, then

JEE MAINS PREVIOUS YEAR-JEE MAINS-Physics
  1. if (2z-n)/(2z+n)=2i-1,n in N in N and IM(z)=10, then

    Text Solution

    |

  2. The moment of inertia of a solid sphere, about an axis parallel to its...

    Text Solution

    |

  3. A load of mass M kg is suspended from a steel wire of length 2 m and r...

    Text Solution

    |

  4. In the value circuit, C=(sqrt(3))/(2)muF,R2=20omega, L=sqrt(3)/(10)H, ...

    Text Solution

    |

  5. An ideal gas is enclosed in a cylinder at pressure of 2 atm and temper...

    Text Solution

    |

  6. In the figure, given that V(BB) supply can vary from 0 to 5.0V,V(CC)=5...

    Text Solution

    |

  7. In the circuit shown, find C if the effective capacitance of the whole...

    Text Solution

    |

  8. An alpha-particle of mass m suffers 1-dimentinal eleastic collision wi...

    Text Solution

    |

  9. A 10 m long horizontal wire extends from North east ro South East. It ...

    Text Solution

    |

  10. To double the covering range of a TV transmittion tower, its height sh...

    Text Solution

    |

  11. A plano-convex lens (focal length f2, refractive indexmu(2), radius of...

    Text Solution

    |

  12. A vertical closed cylinder is separated into two parts by a frictionle...

    Text Solution

    |

  13. Two satellites, A and B, have masses m and 2m respectively. A is in a ...

    Text Solution

    |

  14. A long cylinderical vessel is half filled with a liquid. When the vess...

    Text Solution

    |

  15. A block kept on a rough inclined plane ,as shown in the figure, remain...

    Text Solution

    |

  16. In a Frank-Hertz experiment,an electron of energy 5.6eV passes through...

    Text Solution

    |

  17. A particle of mass 20 g is released with an initial velocity 5m//s alo...

    Text Solution

    |

  18. A galavanometer, whose resistance is 50 ohm has 25 divisions in it. Wh...

    Text Solution

    |

  19. A soap bubble,blown by a mechanical pump at the mouth of a tube, incre...

    Text Solution

    |

  20. In the given circuit diagram, the currents, I1=-0.3A,I4=0.8A and I5=0....

    Text Solution

    |

  21. A resonance tube is old and has jagged end. It is still used in the la...

    Text Solution

    |