Home
Class 12
MATHS
If | (z - i)/(z + 2i)| = 1, |z| = 5/2 th...

If `| (z - i)/(z + 2i)| = 1, |z| = 5/2` then the value of `|z + 3i|`

A

`15/4`

B

`2sqrt3`

C

`7/2`

D

`sqrt(10)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise MATH|25 Videos
  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise QUESTION|1 Videos
  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise QUESTION|1 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|3 Videos
  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos

Similar Questions

Explore conceptually related problems

If |z+2+3i|=5 then the locus of z is

If |z +1| = z + 2(1 - i) , then the value of z

If |z - 1| = |z + 1| = |z - 2i|, then value of |z| is

If |z+i|^2−|z−i|^2 =3 then the locus of z is

If |z+2i|<=2, then the greatest value of |z-sqrt(3)+i|

If |z+2i|<=2, then the greatest value of |z-sqrt(3)+i|

If (4+i)(z+bar(z))-(3+i)(z-bar(z))+26i = 0 , then the value of |z|^(2) is

JEE MAINS PREVIOUS YEAR-JEE MAIN-MATHEMATICS
  1. If plane x + 4y - 2z = 1, x + 7y – 5z = beta, x + 5y + alphaz = 5 in...

    Text Solution

    |

  2. 2^(1/4). 4^(1/16). 8^(1/48) .........oo =

    Text Solution

    |

  3. If | (z - i)/(z + 2i)| = 1, |z| = 5/2 then the value of |z + 3i|

    Text Solution

    |

  4. Let the observations x1(1 le I le 10) satisfy the equations, Sigma(i=...

    Text Solution

    |

  5. If f'(x) = tan^(-1)(Sec x + tan x), x in (-pi/2 , pi/2) and f(0) = 0 t...

    Text Solution

    |

  6. If e1 and e2 are eccentricities of x^2 /18 + y^2 /4 = 1 and x^2 /9 - ...

    Text Solution

    |

  7. Find number of real roots of equation e^(4x) + e^(3x) - 4e^(2x) + e^(x...

    Text Solution

    |

  8. The value of int(0)^(2pi) (xsin^8x)/(sin^8x+cos^8x)"dx" id eaual to :

    Text Solution

    |

  9. If f(x) = a + bx + cx^2 where a, b, c in R then into ^1 f(x)dx

    Text Solution

    |

  10. If vec P = (a+1) hati + a hatj + a hatk vec Q = a hati + (a+1) hatj...

    Text Solution

    |

  11. Find the coefficient of x^4 in (1 + x + x^2)^10

    Text Solution

    |

  12. Find the number of solution of log(1/2) |sinx| = 2 - log(1/2) |cosx|, ...

    Text Solution

    |

  13. If for x ge 0, y = (x) is the solution of the differential equation, ...

    Text Solution

    |

  14. The prejection of the line segment joining the poing (1, -1, 3) and (2...

    Text Solution

    |

  15. If 7x + 6y - 2z = 0, 3x + 4y + 2z = 0, x - 2y - 6z = 0 then which opti...

    Text Solution

    |

  16. if f(x) and g(x) are continuous functions, fog is identity function, g...

    Text Solution

    |

  17. If x= 2 sintheta - sin2theta and y= 2 costheta - cos 2theta then (d...

    Text Solution

    |

  18. If (dx)/dy = (xy)/(x^2 + y^2), y(1) = 1 and y(x) = e then x =

    Text Solution

    |

  19. If minimum value of term free from xx for (x/(sintheta) + 1/(xcostheta...

    Text Solution

    |

  20. If x Sigma(n=0)^(oo) (-1)^n " tan "^(2n) " and " y = Sigma(n=0)^(oo)...

    Text Solution

    |