Home
Class 11
MATHS
If z(1)=2-i, z(2)=1+ 2i, then find the ...

If ` z_(1)=2-i, z_(2)=1+ 2i,` then find the value of the following :
(i) `Re((z_(1)*z_(2))/(bar(z)_(2)))`
(ii) ` Im (z_(1)*bar(z)_(2))`

Text Solution

Verified by Experts

The correct Answer is:
N/a

(i) `-(2)/(5)`
(ii) `-5`
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISE 5C|14 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISE 5D|6 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISE 5A|9 Videos
  • BINOMIAL THEOREM

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exericse|20 Videos
  • CONIC SECTION

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|8 Videos

Similar Questions

Explore conceptually related problems

Let z_(1)=2 -I, z_(2)= -2 +i , find (i) Re ((z_(1)z_(2))/(bar(z)_(1))) , (ii) Im ((1)/(z_(1)bar(z)_(2)))

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

Given z_(1)=1 -i, z_(2)= -2 + 4i , calculate the values of a and b if a + bi= (z_(1)z_(2))/(z_(1))

Find Re ((z_(1)z_(2))/(z_(1))), give z_(1)=2-i and z_(2)=-2+i

Let z_1=2-i ,z_2=-2+i . Find (i) Re ((z_1z_2)/( bar z_1)) (ii) Im (1/(z_1 bar z_1))

If z_(1)= 3 + 5i and z_(2)= 2- 3i , then verify that bar(((z_(1))/(z_(2))))= (bar(z)_(1))/(bar(z)_(2))

Let z_1=2-i ,""""z_2=-2+i . Find (i) Re ((z_1z_2)/( bar z_1)) (ii) Im (1/(z_1 bar z_1))

if z_(1) = 3-i and z_(2) = -3 +i, then find Re ((z_(1)z_(2))/(barz_(1)))

if z_(1) = 3i and z_(2) =1 + 2i , then find z_(1)z_(2) -z_(1)

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

NAGEEN PRAKASHAN ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATION -EXERCISE 5B
  1. Write the following in the form of ordered pair : (i) 3-2i (ii)...

    Text Solution

    |

  2. Convert the following in the form of a complex number : (i) (2, -5)...

    Text Solution

    |

  3. Find the values of x and y from the following : (i) (3x -7)+2iy=-5y+...

    Text Solution

    |

  4. If z=1+2i, show that z^(2)-2z+5=0. Hence find the value of z^(3) +7z^...

    Text Solution

    |

  5. Z=-5+4i then Z^4 +9Z^3 +35Z^2 – Z + 4 =

    Text Solution

    |

  6. If z(1)=2-i, z(2)=1+ 2i, then find the value of the following : (i)...

    Text Solution

    |

  7. If x + i y =(a+i b)/(a-i b),prove that x^2+y^2=1.

    Text Solution

    |

  8. (x+iy)^(1/3) =(a+ib) then prove that (x/a+y/b)=4(a^2-b^2)

    Text Solution

    |

  9. If ((a^(2)+1)^(2))/(2a-i) = a + iy , then what is the value of x^...

    Text Solution

    |

  10. Write the least positive integral value of n for which ((1+i)/(1-i))^n...

    Text Solution

    |

  11. The complex number z is purely imaginary , if

    Text Solution

    |

  12. A number of the form a + ib is called a complex number, where a,b in R...

    Text Solution

    |

  13. Find the real values of theta for which the complex number (1+i costhe...

    Text Solution

    |

  14. Find the square root of the following : (i) 3-4i (ii) 4+6isqrt(5) ...

    Text Solution

    |

  15. If x+iy=3/(2+costheta +i sin theta), then show that x^2+y^2=4x-3

    Text Solution

    |

  16. The sum and product of two complex numbers are real if and only if the...

    Text Solution

    |

  17. If (1+x)/(1 -x)=cos2theta +isin2theta, prove that that x=itantheta.

    Text Solution

    |

  18. If x= cos alpha+ i sin alpha, y = cos beta+ i sin beta, then prove th...

    Text Solution

    |

  19. Prove that: x^4=4=(x+1+i)(x+1-i)(x-1+i(x-1-i)dot)

    Text Solution

    |

  20. Evaluate : (4+3sqrt(-20))^(1//2)+(4-3 sqrt(-20))^(1//2)

    Text Solution

    |