Home
Class 12
MATHS
A line is at a constant distance c from ...

A line is at a constant distance c from the origin and meets the coordinate axes at A and B. The locus of the centre of the circle passing through, A, B, is

A

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

B

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

C

`c^(-2) = (1)/(4) (x^(-2)+y^(-2))`

D

`x^(2) + y^(2) = 4c^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM AND PARTIAL FRACTIONS

    SIA PUBLICATION|Exercise Problems|48 Videos

  • COMPLEX NUMBERS AND DE MOIVRE'S THEOREM

    SIA PUBLICATION|Exercise Problems|34 Videos

Similar Questions

Explore conceptually related problems

A line is at a distance c from origin and meets axes in A an dB. The locus of the centre of the circle passing through O,A,B ais

A variable plane is at a constant distance 3p from the origin and meets the axes A, B and C. The locus of the centroid of the triangle ABC is

A variable plane is at a constant distance p from the origin and meets the axes in A, B and C. The locus of the centroid of the triangle ABC is

A variable plane is at a constant distance P from the origin and meets the axes in A, B and C. The locus of the centroid of tetrahedran OABC is

A variable plane is at a constant distance 3p from the origin and meets the axes A, B and C. Show that the locus of the centroid of the triangle ABC is x^(-2)+y^(-2)+z^(-2)=p^(-2)

A circle of radius r passes through the origin and meets the axes at A and B. The locus of the centroid of triangleOAB" is"

SIA PUBLICATION-CIRCLE-PROBLEMS
  1. Find the length of the tangent form (1,3) to the circle x^(2) + y^(2...

    Text Solution

    |

  2. If x - y + 1 = 0 meets the circle x^(2) + y^(2) + y - 1 = 0 at A a...

    Text Solution

    |

  3. If y=3x is a tangent to a circle with centre (1,1) then the other tang...

    Text Solution

    |

  4. Which of the following equation gives a circle ?

    Text Solution

    |

  5. If P(1), P(2), P(3) are the perimeters of the three circles x^(2) + y^...

    Text Solution

    |

  6. The centre of the circle r^(2) - 4r (cos theta + sin theta) - 4 = 0 in...

    Text Solution

    |

  7. The radius of the circle r = sqrt(3) sin theta + cos theta is

    Text Solution

    |

  8. The number of circles that touches all the three lines x+y-1=0, x-y-1=...

    Text Solution

    |

  9. If the line 3x-2y + 6=0 meets X-axis and Y-axis respectively at A and ...

    Text Solution

    |

  10. A line l meets the circle x^(2) + y^(2) = 61 in A , B and P(-5,6) i...

    Text Solution

    |

  11. If (1, a), (b, 2) are conjugate points with renpcet to the circle x^(2...

    Text Solution

    |

  12. If P is a point such that the ratio of the square of the lengths of th...

    Text Solution

    |

  13. If 5x - 12y + 10 = 0 and 12y - 5x + 16 = 0 are two tangents to a circl...

    Text Solution

    |

  14. The equation of the circle of radius 5 and touching the coordinate axe...

    Text Solution

    |

  15. The radius of the larger circle lying in the first quadrant and touchi...

    Text Solution

    |

  16. The four distinct points (0, 0), (2, 0), (0, -2) and (k, -2) are concy...

    Text Solution

    |

  17. A line is at a constant distance c from the origin and meets the coord...

    Text Solution

    |

  18. The line y = mx + c intercepts the circle x^(2) + y^(2) = r^(2) in two...

    Text Solution

    |

  19. The equation of the normal to the circle x^(2)+y^(2)+6x+4y-3=0 at (1,-...

    Text Solution

    |

  20. The number of circles that touch all the straight lines x + y = 4, x -...

    Text Solution

    |