Home
Class 12
MATHS
Let P point denoting a complex number z ...

Let P point denoting a complex number z on the complex plane. `i.e. z=Re(z)+i Im(z)," where "i=sqrt(-1)` `if" "Re(z)=x and Im(z)=y,then z=x+iy`.The area of the circle inscribed in the region denoted by `|Re(z)|+|Im(z)|=10` equal to

A

`50pi " sq units " `

B

`100pi " sq units" `

C

`55 " sq units" `

D

`110 " sq units" `

Text Solution

Verified by Experts

The correct Answer is:
a
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise For Session 1|6 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise For Session 2|14 Videos

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos

Similar Questions

Explore conceptually related problems

Let P point denoting a complex number z on the complex plane. i.e. z=Re(z)+i Im(z)," where "i=sqrt(-1) if Re(z)=xand Im (z)=y,then z=x+iy Number of integral solutions satisfying the eniquality |Re(z)|+|Im(z)|lt21,.is

If a point P denoting the complex number z moves on the complex plane such that,|Re(z)|+|Im(z)|=1 then locus of P is

If a point P denoting the complex number z moves on the complex plane such that |RE(z)|+|IM(z)|=1 then locus of P is

if |z-i Re(z)|=|z-Im(z)| where i=sqrt(-1) then z lies on

If a point P denoting the complex number z moves on the complex plane such tha "Re"(z^(2))="Re"(z+bar(z)) , then the locus of P (z) is

For any complex number z prove that |Re(z)|+|Im(z)|<=sqrt(2)|z|

Let z = x + iy be a non - zero complex number such that z^(2) = I |z|^(2) , where I = sqrt(-1) then z lies on the :

If z is a complex numbers such that z ne 0 and "Re"(z)=0 , then

ARIHANT MATHS-COMPLEX NUMBERS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Let P point denoting a complex number z on the complex plane. i.e. z=...

    Text Solution

    |

  2. If omega is a cube root of unity but not equal to 1, then minimum valu...

    Text Solution

    |

  3. If one of the vertices of the square circumscribing the circle |z - 1|...

    Text Solution

    |

  4. If z1 and z2, are two non-zero complex numbers such tha |z1+z2|=|z1...

    Text Solution

    |

  5. If 1,omega,omega^(2) are the cube roots of unity, then the roots of t...

    Text Solution

    |

  6. If omega = z//[z-(1//3)i] and |omega| = 1, then find the locus of z.

    Text Solution

    |

  7. If w=alpha+ibeta where Beta 0 and z ne 1 satisfies the condition that...

    Text Solution

    |

  8. Find the value of sum(k=1)^10[sin((2pik)/(11))-icos((2pik)/(11))],wher...

    Text Solution

    |

  9. If z^2+z+1=0 where z is a complex number, then the value of (z+1/z)^2+...

    Text Solution

    |

  10. A man walks a distance of 3 units from the origin towards north-east t...

    Text Solution

    |

  11. If |z|=1 and z!=+-1, then all the values of z/(1-z^2) lie on

    Text Solution

    |

  12. If abs(z+4) le 3, the maximum value of abs(z+1) is

    Text Solution

    |

  13. Let A, B, C be three sets of complex number as defined below: A={z:Img...

    Text Solution

    |

  14. Let A,B and C be three sets of complex numbers as defined below: {:(,A...

    Text Solution

    |

  15. Let A,B and C be three sets of complex numbers as defined below: {:(,A...

    Text Solution

    |

  16. A particle P starts from the point z0=1+2i , where i=sqrt(-1) . It mov...

    Text Solution

    |

  17. If the conjugate of a complex numbers is 1/(i-1), where i=sqrt(-1). Th...

    Text Solution

    |

  18. Let z=x+i y be a complex number where xa n dy are integers. Then, the ...

    Text Solution

    |

  19. Let z=costheta+isintheta. Then the value of sum(m-&gt;1-15)Img(z^(2m-1...

    Text Solution

    |

  20. If |Z-4/Z|=2 then maximum value of |Z| is equal to

    Text Solution

    |

  21. Let z(1) and z(2) be two distinct complex numbers and z=(1-t)z(1)+iz(2...

    Text Solution

    |