Home
Class 12
MATHS
If a^2+b^2=1 t h e n (1+b+i a)/(1+b-i a...

If `a^2+b^2=1` t h e n ` (1+b+i a)/(1+b-i a)=` `1` b. `2` c. `b+i a` d. `a+i b`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If a=1+i, then a^(2) equals 1-i b.2i .(1+i)(1-i) d.(i-1)

If A=[[a+i b, c+i d],[-c+i d, a-i b]]a n da^2+b^2+c^2+d^2=1,t h e nA^(-1) is equal to a.[[a+i b,-c+i d],[-c+i d, a-i b]] b. [[a-i b,-c-i d],[-c-i d, a+i b]] c. [[a+i b,-c-i d],[-c+i d, a-i b]] d. none of these

If A : B=1/2:1/3n a d B : C=1/2:1/3, t h e n A : B : C is equal to 1:2:6 b. 3:2:6 c. 2:3:3 d. 9:6:4

If A=[[1,-1],[ 2, 1]],B=[[a,1],[b,-1]]a n d(A+B)^2=A^2+B^2+2A B ,t h e n a.a=-1 b. a=1 c. b=2 d. b=-2

If a :(b+c)=1:3 a n d c :(a+b)=5:7, t h e b :(a+c) is equal to 1:2 b. 1:3 c. 2:3 d. 2:1

If i^(2)=1, then the sum i+i^(2)+i^(3)+ upto 1000 terms is equal to 1 b.-1 c.i d.0

Find the value of ( i^2 + i^4 + i^6 + i^7 ) / ( 1 + i^2 + i^3 ) is ( a ) 1 - i ( b ) 1 + i ( c ) 2 - i ( d ) 2 + i

If A=[i-i-i i]a n dB=[1-1-1 1],t h e nA^8 equals 4B b. 128 B c. -128 B d. -64 B

A real value of x satisfies the equation (3-4i x)/(3+4i x)=a-i b(a , b in RR), if a^2+b^2= a. 1 b. -1 c. 2 d. -2

RESONANCE DPP-JEE MAINS-All Questions
  1. Statement-1 : Let z be a complex number satisfying |z-3|lt=|z-1|,|z-3|...

    Text Solution

    |

  2. If 0ltaltbltc and the roots alpha,beta of equation a="" x^2+b="" x+c="...

    Text Solution

    |

  3. If a^2+b^2=1 t h e n (1+b+i a)/(1+b-i a)= 1 b. 2 c. b+i a d. a+...

    Text Solution

    |

  4. The graph of the function y=cos xcos(x+2)-cos^2(x+1) is: (A) &n...

    Text Solution

    |

  5. If in a triangle A B C ,(a+b+c)(b+c-a)=kdotb c ,t h e n : k<0 b. k >6...

    Text Solution

    |

  6. A round balloon of radius r subtends an angle alpha at the eye of the ...

    Text Solution

    |

  7. If f^(prime)(1)=-2sqrt(2)a n dg^(prime)(sqrt(2))=4 , then the derivati...

    Text Solution

    |

  8. Let an be the n^(t h) term of an A.P. If sum(r=1)^(100)a(2r)=alpha&su...

    Text Solution

    |

  9. Let vectors vec a , vec b , vec c ,a n d vec d be such that ( vec ax...

    Text Solution

    |

  10. A normal is drawn at point P(a ,a^n) on the curve =x^n in the first qu...

    Text Solution

    |

  11. Sum of all the numbers between 1 and 1000 which are divisible by 3 i...

    Text Solution

    |

  12. int(cos^3x)/(sqrt(sin^7x))dx= 2/5dotcos e c^(7/2)x+2sqrt(cose c x)+c...

    Text Solution

    |

  13. Given an A.P. whose terms are all positive integers. The sum of its fi...

    Text Solution

    |

  14. If a, b, c are in A.P. and b-a, c-b, a are in G.P. then a:b:c=?

    Text Solution

    |

  15. Evaluate: int(x+1)/(x(1+xe^x)^2)dx

    Text Solution

    |

  16. Let the sequence a1,a2,a3, ,an from an A.P. Then the value of a1 2-a2 ...

    Text Solution

    |

  17. If int0^a(dx)/(sqrt(x+a)+sqrt(x))=int0^(pi/8)(2tantheta)/(sin2theta)dt...

    Text Solution

    |

  18. The sum of the first three terms of an A.P. is 9 and the sum of their ...

    Text Solution

    |

  19. int("sin"2"x")/(s in5x s in3x)dx 1/3ln|sin3x|+1/5ln|sin5x|+c b. 1/3l...

    Text Solution

    |

  20. A postman delivered daily for 42 days 4 more latters each day than on ...

    Text Solution

    |