Home
Class 12
MATHS
C is the complex numbers f:CrarrR is def...

C is the complex numbers `f:CrarrR` is defined by `f(z)=|z^(3)-z+2|.` Find the maximum value of `f(z),If|z|=1.`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

For the complex number z satisfying the condition |z+(2)/(z)|=2 , the maximum value of |z| is

If the complex number z is such that |z-1|le1 and |z-2|=1 find the maximum possible value |z|^(2)

If z_1,z_2,z_3 are three complex numbers such that |z_1|=|z_2|=1 , find the maximum value of |z_1-z_2|^2+|z_2-z_3|^2+|z_3+z_1|^2

For all complex numbers z_1,z_2 satisfying |z_1|=12 and |z_2-3-4i|=5 , find the minimum value of |z_1-z_2|

Let z be a complex number satisfying the equation (z^3+3)^2=-16 , then find the value of |z|dot

Let z be a complex number satisfying the equation (z^3+3)^2=-16 , then find the value of |z|

Let z_1,z_2 and z_3 be three distinct complex numbers , satisfying |z_1|=|z_2|=|z_3|=1 find maximum value of| z1 - z2 |^2 + |z2-z3|^2 + |z3-z1|^2

If a complex number z satisfies |z|^(2)+(4)/(|z|)^(2)-2((z)/(barz)+(barz)/(z))-16=0 , then the maximum value of |z| is

If z is a complex number lying in the first quadrant such that "Re"(z)+"Im"(z)=3 , then the maximum value of {"Re"(z)}^(2)"Im"(z) , is

If z is a complex number lying in the first quadrant such that "Re"(z)+"Im"(z)=3 , then the maximum value of "{Re"(z)}^(2)"Im"(z) , is

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If the planes x-cy-bz=0, cx-y+az=0 and bx+ay-z=0 pass through a line, ...

    Text Solution

    |

  2. In a triangle OAC, if B is the mid point of side AC and vec O A= vec ...

    Text Solution

    |

  3. C is the complex numbers f:CrarrR is defined by f(z)=|z^(3)-z+2|. Find...

    Text Solution

    |

  4. Find the number of points where the function f(x) = max(|tanx|,cos|x|)...

    Text Solution

    |

  5. If (1+x+x^2)^n=a0+a1x+a2x^2++a(2n)x(2n), find the value of a0+a6++ ,n ...

    Text Solution

    |

  6. Let there are three points A (0, 4/3), B(–1, 0) and C(1, 0) in x – y p...

    Text Solution

    |

  7. Let f(x) be an increasing function defined on (0,oo) . If f(2a^2+a+1)>...

    Text Solution

    |

  8. Let f:[-(5pi)/(12),-pi/3]vecR is a function f(x)=tan(x+(2pi)/3)-tan(x+...

    Text Solution

    |

  9. If f (x) be a differentiable function satisfying f (y) f ((x)/(y))=f (...

    Text Solution

    |

  10. Let A (0,2),B and C be points on parabola y^(2)+x +4 such that /CBA (...

    Text Solution

    |

  11. If lines (x-3)/1=(y-[K])/2=(z-1)/1 and (x-1)/2=(y+1)/3=(z-1)/4 interse...

    Text Solution

    |

  12. General solution of the equation sin5theta+cos4theta=2 is (1) (4n+1)pi...

    Text Solution

    |

  13. If vec a , vec b , vec c are unit vector, prove that | vec a- vec b|^...

    Text Solution

    |

  14. Sum of the series : 1^3+2^3+4^3+5^3+7^3+...+59^3

    Text Solution

    |

  15. The focal distance of the point (9,6) on the parabola y^(2)=4x is

    Text Solution

    |

  16. Write the negative of the compound proposition p vv(~pvvq)

    Text Solution

    |

  17. If f(x)=x^3+2x^2+3x+4 and g(x) is the inverse of f(x) then g^(prime)(4...

    Text Solution

    |

  18. The probability that at least one of the events Aa n dB occurs is 0.6....

    Text Solution

    |

  19. If A=1/3|[1, 2, 2], [2, 1,-2],[a,2,b]| is an orthogonal matrix, then ...

    Text Solution

    |

  20. If a circle of constant radius 3k passes through the origin O and meet...

    Text Solution

    |