Home
Class 12
MATHS
If z = |{:(1 , 1 + 2i, - 5i),(1 - 2i,-3,...

If z = `|{:(1 , 1 + 2i, - 5i),(1 - 2i,-3,5+3i),(5i,5-3i,7):}|`, then `(i= sqrt(-1))`

A

z is purely real

B

z is purely imaginary

C

` z + bar(z) = 0 `

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    ML KHANNA|Exercise Miscellaneous Exercise (Matching Entries )|9 Videos
  • COMPLEX NUMBERS

    ML KHANNA|Exercise Assertion / Reason |2 Videos
  • COMPLEX NUMBERS

    ML KHANNA|Exercise Problem Set (4) (fill in the blanks )|2 Videos
  • CO-ORDINATE GEOMETRY OF THREE DIMENSION

    ML KHANNA|Exercise SELF ASSIGNMENT TEST |11 Videos
  • CONCEPTS OF SET THEORY

    ML KHANNA|Exercise Self Assessment Test|13 Videos

Similar Questions

Explore conceptually related problems

If z = |{:(-5,3+4i,5-7i),(3-4i,6,8+7i),(5+7i,8-7i,9):}| , then z is

Let z = |(1,1-2i,3+5i),(1+2i,-5,10i),(3-5i,-10i,11)| , then

If z=|{:(3+2i,5-i,7-3i),(i,2i,-3i),(3-2i,5+i,7+3i):}|,"where "i=sqrt(-1),"then"

If z=|(1+i, 5+2i, 3-2i),(7i, -3i, 5i),(1-i, 5-2i, 3+2i)| then (A) z is purely real imaginary (B) z is purely real (C) z has equal real and imaginary parts (D) z has positive real and imaginary parts.

If (1-i)(1-2i)(1-3i)…..(1-ni)=x-iy , then 2.5.10 ……(1+n^2)=

Suppose x+iy=|(7i,-5i,1),(14,5i,-1),(28,5,i)| then sqrt((x+1//4)^(2)+y^(2))= __________

If z = (sqrt(5)+3i) , find z^(-1) .

If a,b,c, are real numbers,and a=det[[a,1+2i,3-5i1-2i,b,-7-3i3+5i,-7+3i,c]] then D is

ML KHANNA-COMPLEX NUMBERS -Self Assessment Test
  1. If z = (4)/(1 - i) then bar(z) is equal to

    Text Solution

    |

  2. If one root of the equation x^2 + (1 - 3i) x - 2(1+i) = 0 is -1 +i, th...

    Text Solution

    |

  3. Convert the complex number z=(i-1)/(cospi/3+isinpi/3)in the polar form...

    Text Solution

    |

  4. If z(1) , z(2), z(3) are three complex numbers in A.P., then they lie ...

    Text Solution

    |

  5. The complex number(1+2i)/( 1-i) lies in the Quadrant number

    Text Solution

    |

  6. If xr=cos(pi/(2^r))+isin(pi/(2^r)) then x1,x2,x3,.....oo

    Text Solution

    |

  7. If p(x,y) denotes z = x + iy in Argand plane and | (z - 1)/( z + 2i)|...

    Text Solution

    |

  8. If omega (!= 1) is a cube root of unity, then the sum of the series S ...

    Text Solution

    |

  9. The smallest positive integral value of 'n' such that [(1+sin\ pi/8 + ...

    Text Solution

    |

  10. If 1 , omega and omega^(2) are the cube roots of unity, then the valu...

    Text Solution

    |

  11. If Z=ilog(2-sqrt(3)),then cos(Z)=

    Text Solution

    |

  12. If z = |{:(1 , 1 + 2i, - 5i),(1 - 2i,-3,5+3i),(5i,5-3i,7):}|, then (i=...

    Text Solution

    |

  13. sum(k=1)^6 (sin,(2pik)/7 -icos, (2pik)/7)=?

    Text Solution

    |

  14. Let z be a complex number such that the imaginary part of z is nonzero...

    Text Solution

    |

  15. If z ne 1 and (z^(2))/(z-1) is real, the point represented by the comp...

    Text Solution

    |

  16. If omega(ne 1) be a cube root of unity and (1+omega)^(7)=A+Bomega, the...

    Text Solution

    |

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

    Text Solution

    |

  18. If z is any complex number satisfying | z - 3- 2i | le 1 then the min...

    Text Solution

    |

  19. Let omega= e^((ipi)/3) and a, b, c, x, y, z be non-zero complex numb...

    Text Solution

    |

  20. If z is a complex number of unit modulus and argument theta then arg...

    Text Solution

    |