Home
Class 12
MATHS
Two circles each of radius 5 units touc...

Two circles each of radius 5 units touch each other at (1,2) and 4x +3y = 10 is their common tangent. The equation of that circle among the two given circles, such that some portion of it lies in every quadrant is

A

`x^(2) +y^(2) +6x +2y +15 = 0 `

B

`x^(2) +y^(2) +2x+6y-15 = 0 `

C

`x^(2) +y^(2) +6x+2y - 15 = 0 `

D

`x^(2) +y^(2) -6x +2y -15 = 0 `

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • AP EAMCET ENGINEERING ENTRANCE EXAM

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise Mathematics|59 Videos

  • AP EAMCET ENGINEERING ENTRANCE EXAM ONLINE QUESTION PAPER 2019 (SOLVED)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|80 Videos

Similar Questions

Explore conceptually related problems

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

If a circle S with radius 5 touches the circle x^2+y^2-6x-4y-12=0 at (-1,-1) , then the length of the tangent from the centre of the circle S to the given circle is

The equation of the circle in the first quadrant which touch the co-ordinate axes and the line 3x+4y=12 is

Two circles of radii 5 cm and 3 cm touch each other internally. Then the distance between their centres.

Two circles of radii 7 cm and 4 cm touch each other externally. Then the distance between their centres.

Two circles, each of radius 5 have a common tangent at (1,1), whose equation is 4x+3y-7=0 , show that the centres are (5,4) and (-3,-2).

The equation of the circle of radius 3 that lies in 4th quadrant and touching the lines x=0, y=0 is

The equation of the tangent to the circle x^(2)+y^(2)-4x+4y-2=0 at (1,1) is

The equation of the circle of radius 3 that lies in the fourth quadrant and touching the lines x=0 and y=0 is

TS EAMCET PREVIOUS YEAR PAPERS-AP EAMCET ENGINEERING ENTRANCE EXAM ONLINE QUESTION PAPER 2019 (SOLVED)-Mathematics
  1. If the lines x + 2y-5=0 and 2x - 3y +4 = 0 lie along diameters of ...

    Text Solution

    |

  2. Given that a gt 2b gt 0 and that the line y = mx - b sqrt(1 + m^(...

    Text Solution

    |

  3. Two circles each of radius 5 units touch each other at (1,2) and 4x ...

    Text Solution

    |

  4. If the angle between the circles x^(2) +y^(2) +4x - 5 = 0 and x^(2) +...

    Text Solution

    |

  5. The equation of a circle passing through the points of intersection of...

    Text Solution

    |

  6. The normal at a point on the parabola y^(2) = 4x passes through (5,0...

    Text Solution

    |

  7. The equation of the normal to the parabola y^(2) = 4 x which is per...

    Text Solution

    |

  8. Let P be any point on the ellipse 7x^(2) +16y^(2) = 112 , S be a foc...

    Text Solution

    |

  9. Tangents are drawn to the ellipse x^(2)/9+y^(2)/5=1 at the ends of lat...

    Text Solution

    |

  10. A hyperbola with centre at (0,0) has its transverse axis along X - ax...

    Text Solution

    |

  11. In a triangle ABC , if the mid-points of sides AB, BC, CA are (3,0,0)...

    Text Solution

    |

  12. The angle between a line with direction ratios 2,2,1 and the line joi...

    Text Solution

    |

  13. The equation of the plane in normal form which passes through the poi...

    Text Solution

    |

  14. If alpha = lim(x to 0) (x*2^(x)-x)/(1 - cos x) and beta= lim(x to 0) (...

    Text Solution

    |

  15. lim(n to infty) ((1)/(3.7)+(1)/(7.11) +(1)/(11.15)+. . . +(n" terms ")...

    Text Solution

    |

  16. lim(x -> infty) [sqrt(x^(2) +ax +b)-x](a lt 0 lt b)

    Text Solution

    |

  17. If alpha and beta are such that the function f (x) defined by f ...

    Text Solution

    |

  18. If y = sin^(2) (cot^(-1) sqrt((1 +x)/(1 - x))), " then " (dy)/(dx) =

    Text Solution

    |

  19. If a ne b, x ne n pi n in Z and y^(2) = a^(2) cos^(2) x +b^(2) sin^(2)...

    Text Solution

    |

  20. If 2y = 3 x - 1 is a tangent drawn to the curve y^(2) = ax^(3) + b at ...

    Text Solution

    |