Home
Class 12
MATHS
Prove that, |x-iy|/|-x+iy|=1...

Prove that, `|x-iy|/|-x+iy|=1`

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBER

    CHHAYA PUBLICATION|Exercise EXERCISE 4(SHORT ANSWER TYPE QUESTION )|58 Videos

  • COMPLEX NUMBER

    CHHAYA PUBLICATION|Exercise EXERCISE 4(LONG ANSWER TYPE QUESTION )|27 Videos

  • COMPLEX NUMBER

    CHHAYA PUBLICATION|Exercise EXERCISE 4 MULTIPLE CHOICE TYPE QUESTIONS|18 Videos

  • CIRCLE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (E. Assertion-Reason Type)|2 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion - Reason Type)|2 Videos

Similar Questions

Explore conceptually related problems

If (a+ib)/(c+id)=x+iy prove that, (a-ib)/(c-id)=x-iy

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

If z=x+iy then show that |x|+|y|lesqrt2|x+iy|.

If x be real then prove that (x-1)(x-2)+1 is always positive.

If z=x+iy and |2z+1|=|z-2i|,then prove that 3(x^2+y^2)+4(x+y)=3

If z=x+iy , show that sqrt(2)|z| ge |x|+ |y| .

If a,b,x,y are real and 3sqrt(x+iy)=a+ib show that , 3sqrt(x-iy)=a-ib (x)/(a)+(y)/(b)=4(a^(2)-b^(2)).

Prove that (x^(201)+1) is divisible by (x+1).

If f(x)=(1-x)/(1+x), prove that f{f((1)/(x))}=1/x[x ne0]

If a,b,c,d,x,y are real and (a+ib)(c+id)=x+iy, show that , (a-ib)(c-id)=x-iy

CHHAYA PUBLICATION-COMPLEX NUMBER-EXERCISE 4 (VERY SHORT ANSWER TYPE QUESTIONS)
  1. If x,y are real and x+iy=(5)/(-3+4i) find x and y .

    Text Solution

    |

  2. If (1+i)(2+i)(3+i)...(n+i)=a+ib show that, 2*5*10...(n^(2)+1)=a^(2)+b^...

    Text Solution

    |

  3. Prove that, |x-iy|/|-x+iy|=1

    Text Solution

    |

  4. If z=(2+i)/(-2+i) find bar(z), the conjugate of z in the form a + ib.

    Text Solution

    |

  5. Express in the form A+iB (A,B are real ) : (1-i)^(3)

    Text Solution

    |

  6. Express in the form A+iB (A,B are real ) : (i)/(1+i)+(1+i)/(i)

    Text Solution

    |

  7. Express in the form A+iB (A,B are real ) : (x+iy)/(y-ix) (x^(2)+y^(2)!...

    Text Solution

    |

  8. Express in the form A+iB (A,B are real ) : (i)/(2+i)+(3)/(1=4i)

    Text Solution

    |

  9. Express in the form A+iB (A,B are real ) : (sqrt3-isqrt2)/(2sqrt3-isqr...

    Text Solution

    |

  10. Express in the form A + iB (A,B are real ): (1)/(1-cos theta-sin theta...

    Text Solution

    |

  11. Find the comjugate : sqrt(-5)-2

    Text Solution

    |

  12. Find the comjugate : 2-isqrt3-sqrt2

    Text Solution

    |

  13. Find the comjugate : sqrt(-5)-2

    Text Solution

    |

  14. Simplify : (i+i^(2)+i^(3)+i^(4))/(1+i)

    Text Solution

    |

  15. Simplify : (1+i^(3))(1+(1)/(i))^(2)(i^(4)+(1)/(i^(4)))

    Text Solution

    |

  16. Simplify : (1+i)^(2)+(1-i)^(2)

    Text Solution

    |

  17. Simplify : (1+i)^(-2)-(1-i)^(-2)

    Text Solution

    |

  18. Simplify : ((1+i)/(1+i))^(2)+((1-i)/(1+i^(2)))

    Text Solution

    |

  19. If x, y real and (x-3i) and (-2+iy) are conjugate of each other, find ...

    Text Solution

    |

  20. Find the least positive integral value of n so that ((1+i)/(1-i))^(n)=...

    Text Solution

    |