Home
Class 11
MATHS
The locus of the centre of a circle whic...

The locus of the centre of a circle which passes through two variable points (a, 0), (-a, 0) is

A

x = 1

B

x + y = a

C

x + y = 2a

D

x = 0

Text Solution

Verified by Experts

The correct Answer is:
D
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 locus of the centre of the circle which passes through the origin and cuts off a length 2b from the line x = c is

Find the equation, centre, and radius of a circle which is passes through the points (3, 4), (3, -6) and (-1, 2).

Find the radius of the circle which passes through the origin and the points (a, 0) and (0, b).

The equation of the circle passes through the point (0, 4), (0, 0) and (3, 0) is

The differential equation of the family of circles passing through the fixed points (a, 0) and (-a, 0) is

The corrdinates of the centre of a circle are (2, -3) and it passes through the point (5, -1), find the equation of the circle.

The area of the circle which passes through the point (4,6) and whose centre is (1,2) is-

Find the equation of the circle which has its centre on the line y = 2 and which passes through the points (2, 0) and (4,0).

The locus of the center of a variable circle which always touches two given circles externally is

The locus of the centre of a circle the touches the given circle externally is a _______

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

    |