Home
Class 12
MATHS
The equations of the circles which touch...

The equations of the circles which touch both the axes and the line 4 x + 3y = 12 and have centres in the first quadrant are _

A

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

B

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

C

`x^(2) + y^(2) - 12 x - 12 y + 36 = 0 `

D

` x^(2) + y^(2) - 6x - 6y + 36 = 0 `

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
Promotional Banner

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise WBJEE Archive (2014)|5 Videos
  • COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise WBJEE Archive (2015)|5 Videos
  • COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise WBJEE Archive (2012)|18 Videos
  • CONTINUITY AND DIFFERENTIABILITY

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

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMINATION ( ASSERTION-REASON TYPE )|2 Videos

Similar Questions

Explore conceptually related problems

The equations of the circles which touch both the axes and the line 4x + 3y = 12 and have centres in the first quadrant, are

Find the equation of the circle which touches both the axes and the line x=c .

The equation of the circle which touches the axes of coordinates and the line x/3+y/4=1 and whose center lies in the first quadrant is x^2+y^2-2c x-2c y+c^2=0 , where c is (a) 1 (b) 2 (c) 3 (d) 6

Find the equation of a circle which touches both the axes and the line 3x-4y+8=0 and which lies in the third quadrant.

Find the equation of the circle which touches both the axes and the straight line 4x+3y=6 in the first quadrant and lies below it.

The locus of the centres of the circles which touch both the axes is given by

Find the equations of circles which touch the axes and whose centres lie on the line x-2y=3

Find the equation of a circle with centre (h,k)and touching both the axes.

Find the equations of the circle which touches y-aixs at (0,5) and whose centre lies on the line 2x+y=13.

Find the equation of the circle which touches both the coordinates axes at a distance +3 unit from the origin.

CHHAYA PUBLICATION-COORDINATE GEOMETRY-WBJEE Archive (2013)
  1. A point P lies on the circle x^(2) + y^(2) = 169 . If Q = (5 , 12) ...

    Text Solution

    |

  2. A circle passing through (0,0) , (2 6) , (6 ,2) cuts the x axis at the...

    Text Solution

    |

  3. The locus of the midpoints of the chords of an ellipse x^(2) + 4y^(2)...

    Text Solution

    |

  4. A point moves so that the sum of squares of its distances from the poi...

    Text Solution

    |

  5. For the variable t , the locus of the points of intersection of lines ...

    Text Solution

    |

  6. If the distance between the foci of an ellipse is equal to the length ...

    Text Solution

    |

  7. For the variable t, the locus of the point of intersection of the line...

    Text Solution

    |

  8. If a , b , c are in A . P ., then the straight line ax + 2 by + c =...

    Text Solution

    |

  9. If one end of a diameter of the circle 3x^(2) + 3y^(2) - 9 x + 6y + 5...

    Text Solution

    |

  10. the equation 2x^(2) + 5xy - 12 y^(2) = 0 represents a

    Text Solution

    |

  11. The line y = x intersects the hyperbola (x^(2))/(9) -(y^(2))/(25) = 1...

    Text Solution

    |

  12. The equation of the circle passing through the point (1 , 1) and the p...

    Text Solution

    |

  13. The number of lines which pass through the point (2 , -3) and are at d...

    Text Solution

    |

  14. Let P be a point on the parabola y^(2) = 4ax with focus F . Let Q ...

    Text Solution

    |

  15. The equations of the circles which touch both the axes and the line 4 ...

    Text Solution

    |

  16. Lines x + y = 1 and 3y = x + 3 intersect the ellipse x^(2) + 9y^(2) ...

    Text Solution

    |

  17. A line passing through the point of intersection of x + y = 4 and x - ...

    Text Solution

    |