Home
Class 12
MATHS
If one of the diameters of the circle x^...

If one of the diameters of the circle `x^(2)+y^(2)-2x-6y+6=0` is a chord to the circle with centre at (2,1) show that the radius of the circle is 3.

Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    AAKASH SERIES|Exercise EXERCISE -I|89 Videos
  • CIRCLES

    AAKASH SERIES|Exercise EXERCISE II|169 Videos
  • CIRCLES

    AAKASH SERIES|Exercise EXERCISE 1.4 ( LONG ANSWER QUESTIONS)|3 Videos
  • CIRCLE

    AAKASH SERIES|Exercise EXERCISE -1.4|38 Videos
  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|93 Videos

Similar Questions

Explore conceptually related problems

If one of the diameter of the circle x^(2)+y^(2)-2x-6y+6=0 is a chord to the circle with centre (2, 1), then the radius of the bigger circle is

If the circle x^(2)+y^(2)-4x+6y+a = 0 has radius 4 then find a.

If the circle x^(2) + y ^(2) + ax + by - 12=0 has the centre at (2,3) then find a, b and the radius of the circle .

If one of the diameter of the circle , given by the equation , x^(2) + y^(2) - 4x + 6y - 12 = 0 , is a chord of a circle S , where centre is at (-3,2) , then the radius of S is

Find the value of a if 2x^(2)+ay^(2)-2x+2y-1=0 represents a circle and also find its radius. (ii) Find the values of a,b if ax^(2)+bxy+3y^(2)-5x+2y-3=0 represents a circle. Also find the radius and centre of the circle. (iii) If x^(2)+y^(2)+2gx+2fy=0 represents a circle with centre (-4,-3) then find g,f and the radius of the circle. (iv) If the circle x^(2)+y^(2)+ax+by-12=0 has the centre at (2,3) then find a ,b and the raidus of the circle. (v) If the circle x^(2)+y^(2)-5x+6y-a=0 has radius 4 , find a

Find the centre and radius of the circle 3x^(2)+ 3y^(2) - 6x + 4y - 4 = 0

The equation of the diameter of the circle x^(2) + y^(2) -4x-6y +3 = 0 that is perpendicular 2x + 5y-6 = 0 is

If the circle x^(2)+y^(2)+ax+by-12=0 has the centre at (2,3) then find a, b, and the radius of the circle.

If the circle x^(2) + y^(2) -4x + 6y + a =0 has radius 4, find a.

AAKASH SERIES-CIRCLES-ADDITIONAL EXERCISE
  1. A circle passes through the points of intersection of the lines lamda ...

    Text Solution

    |

  2. Show that the centre of the circle which circumcribes the square forme...

    Text Solution

    |

  3. If one of the diameters of the circle x^(2)+y^(2)-2x-6y+6=0 is a chord...

    Text Solution

    |

  4. If the lines 2x+3y+1=0 and 3x-y-4=0 lie along diameter of a circle of ...

    Text Solution

    |

  5. Show that the equation of the circle which pass through the points (1,...

    Text Solution

    |

  6. The intercept on the line y=x by the circle x^(2)+y^(2)-2x=0 is AB. Sh...

    Text Solution

    |

  7. If the points (2,0)(3,2)(5,4) and (t,0) are concylic, show that t=2 or...

    Text Solution

    |

  8. The circle passing through the points (1, t), (t, 1) and (t, t) for al...

    Text Solution

    |

  9. If (2,4) is an interior point to the circle x^(2)+y^(2)-6x-10y+lamda=0...

    Text Solution

    |

  10. Show that the number of tangents that can be drawn from the point (5/2...

    Text Solution

    |

  11. Show that the equations of the tangents drawn from the origin to the c...

    Text Solution

    |

  12. The locus of the centre of a circle which touches externally the circl...

    Text Solution

    |

  13. If the angle between the tangents drawn from P to the circle x^(2)+y^(...

    Text Solution

    |

  14. If the tangent at the point P on the circle x^(2)+y^(2)+6x+6y=2 meets ...

    Text Solution

    |

  15. If the straight line y=mx is outside the circle x^(2)+y^(2)-20y+90=0, ...

    Text Solution

    |

  16. If (-4,3) and (12, -1) are the ends of diameter of a circle which make...

    Text Solution

    |

  17. If the chord y=mx+1 of the circle x^(2)+y^(2)=1 subtends an angle of m...

    Text Solution

    |

  18. Tangent to the curve y=x^(2)+6 at the point P(1,7) touches the circle ...

    Text Solution

    |

  19. If the lines 3x-4y+4=0 and 6x-8y-7=0 , x^(2)+y^(2)+16x+12y+c=0 are tan...

    Text Solution

    |

  20. The area of the quadrilateral formed by the tangents from the point (4...

    Text Solution

    |