Home
Class 12
MATHS
lf a, b, c are real numbers and z is a c...

lf `a, b, c` are real numbers and `z` is a complex number such that, `a^2+b^2+c^2=1 and b+ic=(1+a)z` then `(1+iz)/(1-iz)` equals. (a) `(b-ic)/(1-ia)` (b) `(a+ib)/(1+c)` (c) `(1-c)/(a-ib)` (d) `(1+a)/(b+ic)`

A

` (b -ic)/(1-ia)`

B

`(a+ib)/(1+c)`

C

`( 1-c)/(a + ib)`

D

`(1+ a)/( b+ic)`

Text Solution

Verified by Experts

The correct Answer is:
B, C
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise Assignment (Section -D) Linked comprehension Type Questions|13 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise Assertion -Reason Type Questions|19 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise Assignment (Section -B) (objective Type Questions ( one option is correct)|78 Videos

  • BINOMIAL THEOREM

    AAKASH INSTITUTE|Exercise Assignment (section-J) Objective type question (Aakash Challengers Questions)|4 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION - J ( Aakash Challengers Questions )|14 Videos

Similar Questions

Explore conceptually related problems

If a,b,c are real numbers and z is a complex number such that,a^(2)+b^(2)+c^(2)=1 and b+ic=(1+a)z then (1+iz)/(1-iz) equals.(a) (b-ic)/(1-ia) (b) (a+ib)/(1+c) (c) (1-c)/(a-ib)( d) (1+a)/(b+ic)

If ahati+bhatj+chatk be a unit vector and z is a comple number such that (1+a)z=b+ic, then (1-iz)/(1+z (A) (a+ib)/(1+z) (B) (1+c)/(a+ib) (C) (a+ib)(1+c) (D) none of these

Let a,b,c be three distinct complex numbers such that |a|=|b|=|c|=|b+c-a|=1 then 3-|b+c| is equal to

if a,b,c are complex numbers such that a+b+c=0 and |a|=|b|=|c|=1 find the value of 1/a+1/b+1/c

If a+(1)/(b)=1 and b+(1)/(c)=1, then c+(1)/(a) is equal to (a)0(b)(1)/(2)(c)1(d)2

a , b , c are three complex numbers on the unit circle |z|=1 , such that abc=a+b+c . Then |ab+bc+ca| is equal to

AAKASH INSTITUTE-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-Assignment (Section -C) (objective Type Questions ( more thena one options are correct )
  1. Let cos A + cos B + cos C = 0 and sin A + sin B + sin C = 0 then which...

    Text Solution

    |

  2. The equation whose roots are nth power of the roots of the equation, ...

    Text Solution

    |

  3. lf a, b, c are real numbers and z is a complex number such that, a^2+b...

    Text Solution

    |

  4. If z1, z2, z3, z4 are the four complex numbers represented by the vert...

    Text Solution

    |

  5. If alpha , beta , gamma are cube roots of p lt 0, then for any x , y,...

    Text Solution

    |

  6. If z is a complex number satisfying z + z^-1 = 1 then z^n + z^-n , n i...

    Text Solution

    |

  7. If z satisfies |z-1| lt |z +3| " then " omega = 2 z + 3 -i satisfies

    Text Solution

    |

  8. If |z + omega|^(2) = |z|^(2)+|omega|^(2), where z and omega are co...

    Text Solution

    |

  9. Let z1, z2 be two complex numbers represented by points on the circle ...

    Text Solution

    |

  10. Let complex number z satisfy |z - 2/z| =1 " then " |z| can take all v...

    Text Solution

    |

  11. If z=x+i y , then he equation |(2z-i)//(z+1)|=m represents a circle, t...

    Text Solution

    |

  12. If root3(-1) = -1 , -omega, -omega^(2) , then roots of the equation ...

    Text Solution

    |

  13. If z(1) = a + ib " and " z(2) + c id are complex numbers such that ...

    Text Solution

    |

  14. If log(1/2)((|z|^2+2|z|+4)/(2|z|^2+1))<0 then the region traced by z ...

    Text Solution

    |

  15. If z(1) ,z(2) be two complex numbers satisfying the equation |(z(1)...

    Text Solution

    |

  16. If sin alpha, cosalpha are the roots of the equation x^2 + bx + c = 0 ...

    Text Solution

    |

  17. If alpha, beta are the roots of the equation ax^(2) +2bx +c =0 and a...

    Text Solution

    |

  18. The solution set of the inequality (x+3)^(5) -(x -1)^(5) ge 244 is

    Text Solution

    |

  19. Let a,b,c be real numbers in G.P. such that a and c are positive , the...

    Text Solution

    |

  20. Let cos alpha be a root of the equation 25x^(2) +5x -12 = 0 -1 lt x...

    Text Solution

    |