Home
Class 11
MATHS
The equations of the circles which touch...

The equations of the circles which touch both the axes and the line 4x + 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 -2y + 1 = 0`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B, C
Promotional Banner

Topper's Solved these Questions

  • CARTESIAN COORDINATES AND STRAIGHT LINE

    PATHFINDER|Exercise QUESTION BANK|249 Videos
  • COMPLEX NUMBER

    PATHFINDER|Exercise QUESTION BANK|224 Videos

Similar Questions

Explore conceptually related problems

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 _

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

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 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

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

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

PATHFINDER-CIRCLE-QUESTION BANK
  1. The circle passing through (1, - 2) and touching the axis of x at (3, ...

    Text Solution

    |

  2. A point P lines on the circle x^2+y^2=169. If Q = (5, 12) and R= (-12,...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. If one end of a diameter of the circle x^2+y^2-4x-6y+11=0 is (3, 4) th...

    Text Solution

    |

  6. The equation of the circle passing through the point (1, 1) and the po...

    Text Solution

    |

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

    Text Solution

    |

  8. A tangent PT is drawn to the circle x^2+y^2 =4 at the point P(sqrt3,1)...

    Text Solution

    |

  9. A tangent PT is drawn to the circle x^2+y^2 =4 at the point P(sqrt3,1)...

    Text Solution

    |

  10. The length of the diameter of the circle which touches the x-axis at t...

    Text Solution

    |

  11. If the circles x^2 + y^2 + 2x + 2ky + 6 = 0 and x^2 + y^2 + 2ky + k = ...

    Text Solution

    |

  12. Four distinct points (2k,3k),(1,0),(0,1)and(0,0) lie on a circle for

    Text Solution

    |

  13. The incentre of an equilateral triangle is ( 1, 1) and the equation of...

    Text Solution

    |

  14. The circle passing through (-1, 0) and touching the y - axis at (0, 2)...

    Text Solution

    |

  15. The straight line 2x - 3y = 1 divides the circular region x^2+y^2le6 i...

    Text Solution

    |

  16. The two circles x^2+y^2=ax and x^2+y^2=c^2 (cgt0) touch each other if

    Text Solution

    |

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

    Text Solution

    |

  18. The locus of the centre of a circle which passes through two variable ...

    Text Solution

    |

  19. The intercept on the line y = x by the circle x^2+y^2-2x=0 is AB. Equ...

    Text Solution

    |

  20. If the coordinates of one end of a diameter of the circle x^2+y^2+4x-...

    Text Solution

    |