Home
Class 12
MATHS
Show that x + y -1=0 is the equation of ...

Show that `x + y -1=0` is the equation of a diameter of the circle `x ^(2) +y ^(2) -6x +4y + c=0` for all values of c.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (CONCEPT - BASED ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))|20 Videos

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 1 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))|55 Videos

  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B - ARCHITECTURE (ENTRANCE EXAMINATION PAPERS)|14 Videos

  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPER|17 Videos

Similar Questions

Explore conceptually related problems

The line x+3y=0 is a diameter of the circle x^(2)+y^(2)-6x+2y=0

The equation of a diameter of circle x ^(2) + y^(2)-6x + 2y =0, passing through origin is

The length of the diameter of the circle x^(2)+y^(2)-4x-6y+4=0 is -

The line x+3y=0 is a diameter of the circle x^(2)+y^(2)+6x+2y=0

One of the diameters of the circle x^(2)+y^(2)-12x+4y+6=0 is given by

The equation of the image of the circle x^(2)+y^(2)-6x-4y+12=0 by the mirror x+y-1=0 is

If the line x+2by+7=0 is a diameter of the circle x^(2)+y^(2)-6x+2y=0, then find the value of b

MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS
  1. Show that x + y -1=0 is the equation of a diameter of the circle x ^(2...

    Text Solution

    |

  2. The line x sin alpha - y cos alpha =a touches the circle x ^(2) +y ^(...

    Text Solution

    |

  3. If a circle of area 16pi has two of its diameters along the line 2x -...

    Text Solution

    |

  4. The circle passing through (t,1), (1,t) and (t,t) for all values of t ...

    Text Solution

    |

  5. The value of k for which the circle x ^(2) +y ^(2) - 4x + 6y + 3=0 wil...

    Text Solution

    |

  6. If the point (2,k) lies outside the circles x^2+y^2+x+x-2y-14=0a n dx^...

    Text Solution

    |

  7. The shortest distance between the circles x ^(2) + y ^(2) =1 and (x-9)...

    Text Solution

    |

  8. Find the parametric equations of the circles x^(2)+y^(2)=16.

    Text Solution

    |

  9. The circle x^2 + y^2 - 6x - 10y + p = 0 does not touch or intersect th...

    Text Solution

    |

  10. The equation of a circle of area 22pi square units for which each of t...

    Text Solution

    |

  11. If a chord of a circle x ^(2) +y ^(2) =4 with one extermity at (1, sqr...

    Text Solution

    |

  12. Consider L (1) : 3x + y + alpha -2 =0 and L (2) : 3 x + y -alpha + 3 =...

    Text Solution

    |

  13. If a circle has two of its diameters along the lines x+y=5 and x-y=1 a...

    Text Solution

    |

  14. The number of integer values of k for which the equation x^2 +y^2+(k-1...

    Text Solution

    |

  15. If the straight line ax + by = 2 ; a, b!=0, touches the circle x^2 +y^...

    Text Solution

    |

  16. The equation of a circle, which is mirror change of the circle x ^(2) ...

    Text Solution

    |

  17. Two parallel chords are drawn on the same side of the centre of a circ...

    Text Solution

    |

  18. Let C be the circle whose diameter is the line segment formed by the l...

    Text Solution

    |