Home
Class 12
MATHS
If the two circles x^(2) + y^(2) + ax =...

If the two circles ` x^(2) + y^(2) + ax = 0 " and " x^(2) + y^(2) = c^(2)` , where ` a, c gt 0 ` , touch each other intenally , then :

A

`15 lt m lt 65`

B

`35 lt m lt 85`

C

`-85 lt m lt - 35`

D

`-35 lt m lt 15`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|17 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS )|16 Videos
  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B - ARCHITECTURE (ENTRANCE EXAMINATION PAPERS)|14 Videos
  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPER|17 Videos

Similar Questions

Explore conceptually related problems

If two circles x^(2) + y^(2) - 2ax + c = =0 and x^(2) + y^(2) - 2by + c = 0 touch each other , then c =

If circles x^(2) + y^(2) = 9 " and " x^(2) + y^(2) + 2ax + 2y + 1 = 0 touch each other , then a =

Two circles x^(2) + y^(2) -2kx = 0 and x^(2) + y^(2) - 4x + 8y + 16 = 0 touch each other externally.Then k is

Show that the circles x ^(2) + y ^(2) - 2x =0 and x ^(2) + y ^(2) - 8x + 12=0 touch each other externally. Find the point of contact.

The two circles x^(2)+y^(2)-cx=0 and x^(2)+y^(2)=4 touch each other if:

If the circles x^(2)+y^(2)+2ax+b=0 and x^(2)+y^(2)+2cx+b=0 touch each other (a!=c)

Two given circles x^(2) + y^(2) + ax + by + c = 0 and x^(2) + y^(2) + dx + ey + f = 0 will intersect each other orthogonally, only when

MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. Three distinct points A, B and C are given in the 2–dimensional coor...

    Text Solution

    |

  2. If P and Q are the points of intersection of the circles x^2+""y^2+...

    Text Solution

    |

  3. If the two circles x^(2) + y^(2) + ax = 0 " and " x^(2) + y^(2) = c^(...

    Text Solution

    |

  4. The equation of the circle passing through the point (1,0) and (0,1) a...

    Text Solution

    |

  5. The two circles x^(2)+y^(2)=ax and x^(2)+y^(2)=c^(2)(c gt 0) touch eac...

    Text Solution

    |

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

    Text Solution

    |

  7. The circle passing through (1, -2) and touching the axis of x at (3...

    Text Solution

    |

  8. If each of the lines 5x + 8y = 13 and 4x - y = 3 contains a diameter o...

    Text Solution

    |

  9. lf a circle C passing through (4,0) touches the circle x^2 + y^2 + 4x-...

    Text Solution

    |

  10. If two vertices of an equilateral triangle are A (-a,0)and B (a,0), a ...

    Text Solution

    |

  11. If the circle x ^(2) +y ^(2) - 6x - 8y + (25 -a ^(2)) =0 touches the a...

    Text Solution

    |

  12. Statement I : The only circle having radius sqrt(10) and a diameter al...

    Text Solution

    |

  13. If a circle of unit radius is divided into two parts by an arc of anot...

    Text Solution

    |

  14. 1) 1/5 2) 10 3) 10v2 4) 5v2 Let C be the circle with centre at (1,1) a...

    Text Solution

    |

  15. The circle x^2+y^2-6x-10 y+k=0 does not touch or intersect the coordin...

    Text Solution

    |

  16. The set of all real values of lambda for which exactly two common tang...

    Text Solution

    |

  17. For the two circles x^2+y^2=16 and x^2+y^2-2y=0 there are

    Text Solution

    |

  18. The equation of the circle described on the chord 3x + y + 5 =0 of the...

    Text Solution

    |

  19. The number of common tangents to the circles x^(2)+y^(2)-4x-6y-12=0 a...

    Text Solution

    |

  20. If the incentre of an equilateral triangle is (1,1) and the equation o...

    Text Solution

    |