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. int0^1|sin2pix|dx=

    Text Solution

    |

  2. 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

    |

  3. int1^2 1/(x(x^4+1))dx =

    Text Solution

    |

  4. Consider I1=int0^(pi/4)e^x^2dx ,I2=int0^(pi/4)e^x dx ,I3=int0^(pi/4)e^...

    Text Solution

    |

  5. The area {(x ,y); x^2lt=ylt=sqrt(x)} is equal to 1/3 b. 2/3 c. 1/6 d. ...

    Text Solution

    |

  6. "I f"|(z1-3z2)/(3-z1 bar(z2))|=1"and"|z2|!=1,t h e n|z1|"i s" 3 (b) ...

    Text Solution

    |

  7. I1=int0^(pi/2)ln(sinx)dx ,I2=int(-pi/4)^(pi/4)ln(sinx+cosx)dxdot Then ...

    Text Solution

    |

  8. If alpha and beta are the roots of x^2-2x+4=0 , then alpha^n+beta^n is...

    Text Solution

    |

  9. Let |z1|=|"z"2|="p"/2 then "|z1+z2|^2+|z1-z2|^2= a.p^2 b. (p^2)...

    Text Solution

    |

  10. If z is a complex number such that |z|=4 and a r g(z)=(5pi)/6 , then z...

    Text Solution

    |

  11. Show that the relation geq on the set R of all real numbers is r...

    Text Solution

    |

  12. The polar form of the complex number (i^(25))^3 is (a) cos(pi/2)+isin(...

    Text Solution

    |

  13. ((1+sintheta+i costheta)/(1+sintheta-i costheta))^n is equal to

    Text Solution

    |

  14. If 3^(49)(x+i y)=(3/2+(sqrt(3))/2i)^(100) and x=k y then k is: a.-...

    Text Solution

    |

  15. If(5z2)/(7z1) is purely imaginary, then |(2z1+3z2)/(2z1-3z2)|= (A)...

    Text Solution

    |

  16. If complex number (3+2i sin x)/(1-2i sin x) is purely imaginary then ...

    Text Solution

    |

  17. Let z be a complex number having the argument theta,0<theta<pi//2,a n ...

    Text Solution

    |

  18. If the area of the triangle on the complex plane formed by the points ...

    Text Solution

    |

  19. If alpha + beta + gamma = pi, then the value of the determinant |(e^...

    Text Solution

    |

  20. If vec a is perpendicular to vec b and vec r is non-zero vector suc...

    Text Solution

    |