Home
Class 12
MATHS
The equation of the circle which touche...

The equation of the circle which touches both the axes and the line `4 x+3 y=6` in the first quadrant and lies below it is

A

`4 x^(2)+4 y^(2)-4 x-4 y+1=0`

B

`x^(2)+y^(2)-6 x-6 y+9=0`

C

`x^(2)+y^(2)-6 x-y+9=0`

D

`4`(x^(2)+y^(2)-x-6 y`)+1=0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|200 Videos
  • COMMON ENTRANCE TEST - 2014

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

Similar Questions

Explore conceptually related problems

The locus of the centre of the circleS which touches both the axes is given by

The equation of the circle which touches the lines x=0, y=0 and x=c(c gt 0) is

The equation of the circle, which touches the axes of co-ordinates and the line x/3+y/4=1 and whose centre lies in the first quadrant is: x^2+y^2-2cx -2cy+c^2=0 If c is :

Find the equation of the circle with touching both the axes and passing though the point (2,9)

The equation of the circle of radius one unit touching both the axes and lying in the second rant is

The equation of the circle with centre (2,-3) and touching the y -axis is

The equation to the circle with centre (2, 1) and touching the line 3x + 4y = 5 is...

The equation of the circle with centre (3,2) touching y -axis is

The equation of a line which touches both the curves y^(2)=4 x and 3 x^(2)-4 y^(2)=12 is

Equation of a circle which passes through (3, 6) and touches the axes is:

HIMALAYA PUBLICATION-CIRCLES-QUESTION BANK
  1. The circleS x^(2)+y^(2)+2 a x+c^2=0 and x^(2)+y^(2)+2 b y+c^2=0 touch...

    Text Solution

    |

  2. To which of the following circleS, the line y-x+3=0 is a normal at (3...

    Text Solution

    |

  3. The equation of the circle which touches both the axes and the line 4...

    Text Solution

    |

  4. circle is drawn through the point (2,0) to cut intercept of length 5 u...

    Text Solution

    |

  5. The length of the chord of the circle (x-3)^(2)+(y-5)^(2)=80 cut-off ...

    Text Solution

    |

  6. The tangent to the circle x^2 + y^2 = 9, which is parallel to y-axis a...

    Text Solution

    |

  7. If one end of diameter of the circle 2x^2+2y^2-4x-8y+2=0 is (3,2) , th...

    Text Solution

    |

  8. The tangtnts to the circle x^(2)+y^(2)=169 at the point (5,12) and (1...

    Text Solution

    |

  9. The number of tangtnts from (1,2) to the circle x^(2)+y^(2)-2 x-4 y+4...

    Text Solution

    |

  10. The equation of a circle which touches the y -axis and has its centre...

    Text Solution

    |

  11. The circle passes through the point (1,2) and cuts the circle x^(2)+...

    Text Solution

    |

  12. The two circles x^2+y^2-2x-3=0 and x^2+y^2-4x-6y-8=0 are such that :

    Text Solution

    |

  13. The centre of a circle is (3,-1) and it makes an intercept of 6 units...

    Text Solution

    |

  14. If 3 x+y=0 is a tangtnt to the circle which has its centre at the poi...

    Text Solution

    |

  15. The equation of the smalltst circle passing through the points (2,2) ...

    Text Solution

    |

  16. The point (5,-7) lines outside the circle

    Text Solution

    |

  17. If the circles x^(2)+y^(2)=9andx^(2)+y^(2)+2alphax+2y+1=0 touch each o...

    Text Solution

    |

  18. The length of the diameter of the circle which cuts three circles x...

    Text Solution

    |

  19. The length of the chord joining the points (4 cos theta, 4 sin theta) ...

    Text Solution

    |

  20. The number of common tangents to the circles x^(2)+y^(2)-y=0 and x^(2)...

    Text Solution

    |