Home
Class 12
MATHS
If x+iy moves on the line 3x+4y+5=0, pro...

If `x+iy` moves on the line `3x+4y+5=0`, prove that the minimum value of `|x+iy|` is 1.

Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise COORDINATE GEOMETRY (TWO DIMENSIONAL COORDINATE GEOMETRY)|124 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise COORDINATE GEOMETRY (THREE DIMENSIONAL COORDINATE GEOMETRY)|10 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise TRIGONOMETRY|148 Videos

  • METHOD OF SUBSTITUTION

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

  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

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

Similar Questions

Explore conceptually related problems

If xgt0,ygt0 and x+y=1, then find the minimum value of x log x + y log y.

If x ,y in R and x^2+y^2+x y=1, then find the minimum value of x^3y+x y^3+4.

The modulus of (x-iy)^2 is

If the circle x^2+y^2-4x-8y-5=0 intersects the line 3x-4y=m at two distinct points, then find the values of m .

If line 3x-a y-1=0 is parallel to the line (a+2)x-y+3=0 then find the value of adot

If the perpendicular distance of the straight line 3x-4y=0 from the point (a,0) is (6)/(5) unit then the value of a is-

For any x ,y , in R^+,x y >0 . Then the minimum value of (2x)/(y^3)+(x^3y)/3+(4y^2)/(9x^4) is.

If x , y are real and x + iy=0 then

Prove that, The line 5x + 4y = 0 passes through the point of intersection of straight lines x+2y-10 = 0, 2x + y =-5

The acute angle between the line 3x-4y=5 and the circle x^2+y^2-4x+2y-4=0 is theta . Then find the value of 9costheta .

CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-ALGEBRA
  1. Let z and omega tow complex number. If |z|= |omega| and areg (z) +arg...

    Text Solution

    |

  2. If z(1)+z(2) are two complex number and |(barz(1)-2bar z(2))/(2-z(1)ba...

    Text Solution

    |

  3. If x+iy moves on the line 3x+4y+5=0, prove that the minimum value of ...

    Text Solution

    |

  4. If |z^(2)|=9|z|, find the maximum and minimum values of |z|.

    Text Solution

    |

  5. Find the greatest value of |z| when |z-(6)/(z)|=2,z being a complex nu...

    Text Solution

    |

  6. Find the least value of |z+(1)/(z)| if |z| ge 3 (z being a complex ...

    Text Solution

    |

  7. If the roots of the equation ix^(2)-(b^(2)+c^(2))x+(c^(2)+d^(2))^(2)=0...

    Text Solution

    |

  8. If one root of the equation ax^(2)-2ibx-ic=0 be square of the other, t...

    Text Solution

    |

  9. Solve (7y^(2)+1)/(y^(2)-1)-4 ((y^(2)-1)/(7y^(2)+1))=-3

    Text Solution

    |

  10. Solve (x-(x)/(x+1))^(2)+2x((x)/(x+1))=3

    Text Solution

    |

  11. If alpha and beta are the roots of ax^(2)+bx+cid=0 find the equation ...

    Text Solution

    |

  12. Show that, 3^(n)-(n)/(1!)3^(n-1)+(n(n-1))/(2!)3^(n-2)-...+(-1)^(n)="...

    Text Solution

    |

  13. Find the coefficient of x^(-5) in ""^(n)C(0)-""^(n)C(1) ((2x-1)/(x)...

    Text Solution

    |

  14. Find the degree of theexpansion, {x+(x^(3)-1)^(1//2)}^(5)+{x-(x^(3)-...

    Text Solution

    |

  15. Find the term independent of x in the expansion, ((x+1)/(x^(2//3)-x^(...

    Text Solution

    |

  16. Find the remainder if number 2^(2003) is divided by 17.

    Text Solution

    |

  17. Find last three digits of the number 17^(256).

    Text Solution

    |

  18. Find the sum of the series, (1^(2))/(3)+(1^(2)+2^(2))/(5)+(1^(2)+2^(...

    Text Solution

    |

  19. Find the value of sum(r=1)^(n) (r)/(1+r^(2)+r^(4))

    Text Solution

    |

  20. If a(1),a(2),a(3),.. from a G.P. with common ratio r, find in terms ...

    Text Solution

    |