Home
Class 11
MATHS
Express the given complex number in (a+i...

Express the given complex number in `(a+ib)` form: `(5-2i)^2`

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|9 Videos

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

Express the following complex number in a+i b form: (1-i)^2

Express the following complex number in a+i b form: i/(1-i)

Express the following complex number in a+i b form: (1-i)^3

Express the following complex number in a+i b form: (3-2i)/((2-i)

Express the following complex number in a+i b form: i/(1+i)

Express the following complex numbers in a+i b form: ((3-2i)(2+3i))/((1+2i)(2-i)) (ii) (2-sqrt(-25))/(1-sqrt(-16))

Represent the given complex numbers in polar form : i(1-isqrt3)=i-i^2sqrt3=sqrt3+i

Express the following complex number in polar form (r e^itheta) : 1-i+i^2-i^3

Express the following complex number in polar form (r e^itheta) : 2+2i

Express the following complex number in polar form (r e^itheta) : -sqrt3/2 -i 1/2

CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. If (1+x)(1+x^2)(1+x^4)....(1+x^128)=sum(r=0)^nx^r then n is

    Text Solution

    |

  2. The number of terms common between the series 1+ 2 + 4 + 8..... to 100...

    Text Solution

    |

  3. Express the given complex number in (a+ib) form: (5-2i)^2

    Text Solution

    |

  4. If S denotes the sum to infinity and Sn the sum of n terms of the seri...

    Text Solution

    |

  5. If (a-b), (b-c), (c-a) are in GP then prove that (a+b+c)^2 =3(ab+bc+ca...

    Text Solution

    |

  6. Given that x+y+z=15 when a ,x ,y ,z ,b are in A.P. and 1/x+1/y+1/z=5/3...

    Text Solution

    |

  7. Let a1,a2,a3…… ,an be in G.P such that 3a1+7a2 +3a3-4a5=0 Then find c...

    Text Solution

    |

  8. The 9th term of the series 27+9+52/5+36/7+.... will be (a) 110/17 (b...

    Text Solution

    |

  9. If a, b, c are in GP then prove that, (a+2b+2c)(a-2b+2c)= a^2+ 4c^2

    Text Solution

    |

  10. If sum(r=1)^n r(r+1)(2r+3)=a n^4+b n^3+c n^2+d n+e , then (a) a-b=d-c ...

    Text Solution

    |

  11. If a,b,c,d are in GP then prove thst (b+c)(b+d) =(c+a)(c+d)

    Text Solution

    |

  12. If a,x,b are in A.P.,a,y,b are in G.P. and a,z,b are in H.P. such that...

    Text Solution

    |

  13. If a,b, and c are in G.P then a+b,2b and b+ c are in

    Text Solution

    |

  14. If in a progression a1, a2, a3,.......... e tc dot,(ar-a(r+1)) bears...

    Text Solution

    |

  15. a ,b ,c x in R^+ such that a ,b ,and c are in A.P. and b ,c and d ar...

    Text Solution

    |

  16. Let alpha,beta in Rdot If alpha,beta^2 are the roots of quadratic equ...

    Text Solution

    |

  17. Let a in (0,1] satisfies the equation a^(2008)-2a+1=0 and S=1+a+a^2+.....

    Text Solution

    |

  18. If a ,b and c are in A.P. and b-a ,c-b and a are in G.P., then a : b :...

    Text Solution

    |

  19. If a ,b ,a n dc are in A.P. p ,q ,a n dr are in H.P., and a p ,b q ,a ...

    Text Solution

    |

  20. The sum of three numbers in G.P. is 14. If one is added to the first ...

    Text Solution

    |