Home
Class 12
MATHS
If a complex number z lie on a circle of...

If a complex number z lie on a circle of radius `(1)/(2)` units, then the complex number `omega=-1 +4z` will always lie on a circle of radius k units, where k is equal to

Text Solution

Verified by Experts

The correct Answer is:
2
Promotional Banner

Topper's Solved these Questions

  • JEE MOCK TEST 13

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

  • JEE MOCK TEST 15

    NTA MOCK TESTS|Exercise MCQS (MATH)|25 Videos

Similar Questions

Explore conceptually related problems

If three complex numbers are in AP.Then,they lie on a circle in the complex plane.

If |z|=2, the points representing the complex numbers -1+5z will lie on

If z is a non-real complex number lying on the circle |z|=1 , then z=

if |z|=3 then the points representing thecomplex numbers -1+4z lie on a

If |z|=1, then the point representing the complex number -1+3z will lie on a.a circle b.a parabola c.a straight line d.a hyperbola

Show that the complex number z, satisfying are (z-1)/(z+1)=(pi)/(4) lies on a circle.

Let z be a complex number lying oon a circle |z|=sqrt(2) a and b=b_(1)+ib_(2) (any complex number), then The equation of stright line parallel to the tangent and passing through centre of circle is

NTA MOCK TESTS-JEE MOCK TEST 14-MATHEMATICS
  1. The range of value of alpha such that (0,alpha) lies on or inside the ...

    Text Solution

    |

  2. The value of int(0)^(pi)(Sigma(r=0)^(3)a(r)cos^(3-r)x sin^(r)x)dx depe...

    Text Solution

    |

  3. Solve the equation: tan^(-1)sqrt(x^2+x)+sin^(-1)sqrt(x^2+x+1)=pi/2

    Text Solution

    |

  4. The sum of 0.2 +0.22+0.222+ … to n terms is equal to

    Text Solution

    |

  5. If tangent at (1, 2) to the circle C1: x^2+y^2= 5 intersects the circl...

    Text Solution

    |

  6. The minimum distance of a point on the curve y=x^2-4 from origin ,

    Text Solution

    |

  7. The domain of the function f(x)=sqrt("ln"((|x|-1))(x^(2)+4x+4)) is

    Text Solution

    |

  8. The expression (1 + tan x + tan^2 x)(1-cot x + cot^2 x) has the positi...

    Text Solution

    |

  9. the value of theta for which the system of equations (sin 3theta)x-2y+...

    Text Solution

    |

  10. If both the mean and the standard deviation of 50 observatios x(1), x(...

    Text Solution

    |

  11. For an initial screening of an admission test, a candidate is given f...

    Text Solution

    |

  12. Let S be the set of all real numbers. Then the relation R= {(a,b):1+...

    Text Solution

    |

  13. The contrapositive of (p vv q)to r is

    Text Solution

    |

  14. (1+cos.(pi)/(8))(1+cos.(3pi)/(8))(1+cos.(5pi)/(8))(1+cos.(7pi)/(8)) is...

    Text Solution

    |

  15. The area of the closed region bounded by y=sec^(-1)x, y ="cosec"^(-1)x...

    Text Solution

    |

  16. Tangents are drawn from the point (alpha, 2) to the hyperbola 3x^2 - 2...

    Text Solution

    |

  17. Let f: R->R be a differentiable function with f(0)=1 and satisfy...

    Text Solution

    |

  18. Let veca, vecb, vecc be three non-zero non coplanar vectors and vecp, ...

    Text Solution

    |

  19. If a complex number z lie on a circle of radius (1)/(2) units, then th...

    Text Solution

    |

  20. int[sin(101 x)*sin^(99)x]dx

    Text Solution

    |