Home
Class 12
MATHS
If two circleS x^(2)+y^(2)+2 lambda x+c...

If two circleS `x^(2)+y^(2)+2 lambda x+c=0` and `x^(2)+y^(2)-2 mu y-c=0` have equal radius then the locus of `(lambda, mu)` is

A

`x^(2)+y^(2)=2 c`

B

`x^(2)-y^(2)=2 c`

C

`y^(2)=x^(2)=c`

D

`y^(2)+x^(2)=c`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|200 Videos

  • COMMON ENTRANCE TEST - 2014

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

Similar Questions

Explore conceptually related problems

The circleS x^(2)+y^(2)+2 a x+c^2=0 and x^(2)+y^(2)+2 b y+c^2=0 touch if

If the circleS x^(2)+y^(2)-6 x-8 y+c=0 and x^(2)+y^(2)=9 have three common tangtnts then c=

The two circles x^(2) + y^(2) -2x + 6y + 6 = 0 and x^(2) + y^(2) -5x + 6y + 15 = 0

If P is a point such that the ratio of the squares of the ltngths of the tangtnts from P to the circleS x^(2)+y^(2)+2 x-4 y-20=0 and x^(2)+y^(2)-4 x+2 y-44=0 is 2: 3, then the locus of P is a circle with centre

HIMALAYA PUBLICATION-CIRCLES-QUESTION BANK
  1. x^(2) + y^(2) -6x -6y + 4 = 0, x^(2) + y^(2) -2x -4y + 3 = 0, x^(2) + ...

    Text Solution

    |

  2. If the circles x^(2)+y^(2)-2 x-2 y-7=0 and x^(2)+y^(2)+4 x+2 y+k=0 cu...

    Text Solution

    |

  3. If two circleS x^(2)+y^(2)+2 lambda x+c=0 and x^(2)+y^(2)-2 mu y-c=0 ...

    Text Solution

    |

  4. Given that the circle x^(2)+y^(2)+2 x-4 y+4=0 and x^(2)+y^(2)-2 x-4 y...

    Text Solution

    |

  5. The equation ot the circle concentric with x^(2)+y^(2)+6 x+2 y+1=0 an...

    Text Solution

    |

  6. The centre of a circle passing through the points (0,0),(1,0) and tou...

    Text Solution

    |

  7. The equation of the tangent to the circle x^2 + y^2 + 4x - 4y + 4 = 0 ...

    Text Solution

    |

  8. The lines 2x - 3y = 5 and 3x - 4y = 7 are diameters of a circle having...

    Text Solution

    |

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

    Text Solution

    |

  10. Locus of centroid of the triangle whose vertices are (a cos t, a sin ...

    Text Solution

    |

  11. If two circle (x-1)^(2)+(y-3)^(2)=r^(2) and x^(2)+y^(2)-8x+2y+8=0 inte...

    Text Solution

    |

  12. A variable circle passes through the fixed point A (p, q) and touches ...

    Text Solution

    |

  13. If the lines 2x+3y+1=0 and 3x-y-4=0 lie along diameters of a circle of...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. If the circles x^2 + y^2 + 2ax + cy+ a = 0 and x^2 + y^2 - 3ax + dy - ...

    Text Solution

    |

  17. The equation x^(2)+y^(2)+4 x+6 y+13=0 represents

    Text Solution

    |

  18. The circleS x^(2)+y^(2)-10 x+16=0 and x^(2)+y^(2)=r^(2) intersect eac...

    Text Solution

    |

  19. The triangle PQR is inscribed in the circle x^2 + y^2 = 25. If Q and R...

    Text Solution

    |

  20. If the circles x^2+y^2+2x+2ky + 6=0 and x^2+y^2+2ky+k=0 intersect orth...

    Text Solution

    |