Home
Class 12
MATHS
If a,b,c,d inRR are such that a^2+b^2=4 ...

If `a,b,c,d inRR` are such that `a^2+b^2=4 and c^2+d^2=2` and if `(a+ib)^2=(c+id)^2(x+iy)" then " x^2+y^2=`

A

4

B

3

C

2

D

1

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    SIA PUBLICATION|Exercise PROBLEMS|50 Videos
  • DEFINITE INTEGRALS

    SIA PUBLICATION|Exercise PROBLEMS|42 Videos

Similar Questions

Explore conceptually related problems

If (a+ib)^2=x+iy then x^2+y^2 =

If sqrt([(a-ib)/(c-ib)])" then "(x^2+y^2)^2=

If (a + ib)^2 = x + iy find x^2 + y^2

If a, b, c and d are in G.P. show that (a^2+b^2+c^2)(b^2+c^2+d^2) = (ab+bc+cd)^2

If x -iy = sqrt([(a - ib)/(c-id)]) , then (x^(2) + y^(2))^(2) =

If (a+ib)^(2)=x+iy , find x^(2)+y^(2)

If a,b,c,d,e are +ve real number such that a+b+ c+ d+e= 8 and a^(2) + b^(2) + c^(2) + d^(2) + e^(2) = 16 then the range of 'e' is

If x+iy = (a+ib)/(a-ib) , prove that x^(2) + y^(2)=1 .

IfA= 2y^2 + 3x- x^2 ,B = 3 x^2 - y^2 and C =5 x^2 -3xy then find B+C

IfA= 2y^2 + 3x- x^2 ,B = 3 x^2 - y^2 and C =5 x^2 -3xy then find B-C

SIA PUBLICATION-COMPLEX NUMBERS AND DE MOIVRE'S THEOREM-Problems
  1. If a complex number z satisfies |z|^(2)+1=|z^(2)-1|, then the locus of...

    Text Solution

    |

  2. ((1+i)x-i)/(2+i)+((1+2i)y+i)/(2-i)=1rArr(x,y)=

    Text Solution

    |

  3. If a,b,c,d inRR are such that a^2+b^2=4 and c^2+d^2=2 and if (a+ib)^2...

    Text Solution

    |

  4. If alpha is a non real root of the equation x^(6)-1=0 then (alpha^(2)+...

    Text Solution

    |

  5. Let z=a-i/2,a inRR " Then "|i+z|^2-|i-z|^2=

    Text Solution

    |

  6. The locus of the complex number z such that arg ((z-2)/(z+2))=pi/3 is ...

    Text Solution

    |

  7. ((1+i)^2011)/(1-i)^2009=

    Text Solution

    |

  8. z=1+isqrt(3)rArr|Arg z|+|Argbarz|=

    Text Solution

    |

  9. If omega is a complex cube root of unity, then (x+1)(x+omega)(x-omega-...

    Text Solution

    |

  10. The locus of z satisfying the |(x+2i)/(2z+i)| lt 1, inequality where z...

    Text Solution

    |

  11. The points in the set {zinC: Arg " ((z-2)/(Z-6i))=pi/2} lie on the cu...

    Text Solution

    |

  12. If omega is a complex cube root of unity, then sin[(omega^(10)+omega^(...

    Text Solution

    |

  13. If m(1), m(2), m(3) and m(4) respectively denote the moduli of the co...

    Text Solution

    |

  14. The locus of the point z=x+iy satisfying |(z-2i)/(z+2i)|=1 is

    Text Solution

    |

  15. The equation of the locus of 2 such that |(z-i)/(z+i)|=2, where z = x ...

    Text Solution

    |

  16. If alpha1,alpha2,alpha3 respectively denote the moduli of the complex ...

    Text Solution

    |

  17. sum(n=0)^oo((2i)/3)^n=

    Text Solution

    |

  18. If X(n)="cos"(pi)/(2^(n))+"isin"(pi)/(2^(n)), then x(1), x(2), x(3)......

    Text Solution

    |

  19. If the amplitude of z - 2 - 3i " is " pi//4 , then the locus of z = x ...

    Text Solution

    |

  20. If omega is a complex cube root of unity, then 225+(3omega+8omega^(2))...

    Text Solution

    |