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

The two circles `x^(2)+y^(2)=ax and x^(2)+y^(2)=c^(2)(c gt 0)` touch each other, if `|(c )/(a )|` is equal to

A

`|a| =2c`

B

`2|a| =c`

C

`|a| =c`

D

`a = 2c`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 2 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))|30 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (NUMERICAL ANSWER TYPE QUESTIONS )|17 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (CONCEPT - BASED ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))|20 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

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)

The circles x^(2)+y^(2)+2x-2y+1=0 and x^(2)+y^(2)-2x-2y+1=0 touch each other

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 :

If the circles x^(2)+y^(2)=9 and x^(2)+y^(2)+8y+C=0 touch each other,then c is equal to

Prove that the circle x^(2) + y^(2) + 2ax + c^(2) = 0 and x^(2) + y^(2) + 2by + c^(2) = 0 touch each other if (1)/(a^(2)) + (1)/(b^(2)) = (1)/(c^(2)) .

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

MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -SOLVED EXAMPLES (LEVEL 1 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))
  1. An equation of a circle touching the axes of coordinates and the line ...

    Text Solution

    |

  2. If one of the diameters of the circle x^2+y^2-2x-6y+ 6 = 0 is a chord ...

    Text Solution

    |

  3. The centres of a set of circles, each of radius 3, lie on the circle x...

    Text Solution

    |

  4. If a circle passes through the point (a,b) and cuts the circle x^(2)+y...

    Text Solution

    |

  5. Consider a family of circles which are passing through the point (-...

    Text Solution

    |

  6. If the circles x^2+y^2+2a x+c y+a=0 and points Pa n dQ , then find the...

    Text Solution

    |

  7. A circle touches the x-axis and also touches the circle with center (...

    Text Solution

    |

  8. Three distinct points A, B and C are given in the 2–dimensional coor...

    Text Solution

    |

  9. Let A(1, 2), B(3, 4) be two points and C(x, y) be a point such that ar...

    Text Solution

    |

  10. A circle touches y-axis at (0,3) and makes an intercept of 2 units on ...

    Text Solution

    |

  11. Equation of the circle which circumscribes the square formed by the li...

    Text Solution

    |

  12. If the centre of the circle passing through the origin and the point o...

    Text Solution

    |

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

    Text Solution

    |

  14. Equation of circle passing through (1,5) and (4,1) and touching y-axi...

    Text Solution

    |

  15. If the circle x^(2)+y^(2)=4x+8y+5 intersects the line 3x-4y=m at two d...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. The locus of the mid-point of the chord of contact of tangents drawn f...

    Text Solution

    |

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

    Text Solution

    |