Home
Class 11
MATHS
Find the locus of the center of the circ...

Find the locus of the center of the circle which cuts off intercepts of lengths `2aa n d2b` from the x-and the y-axis, respectively.

A

`x+y=a +b`

B

`x ^(2) + y^(2) =a ^(2) + b^(2)`

C

`x ^(2) -y ^(2) =a ^(2) - b ^(2)`

D

`ax ^(2) + y^(2) =a ^(2) -b^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CIRCLE AND CONICS

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|158 Videos

  • CIRCLE AND CONICS

    TARGET PUBLICATION|Exercise EVALUATION TEST|28 Videos

  • CIRCLE AND CONICS

    TARGET PUBLICATION|Exercise EVALUATION TEST|28 Videos

  • FACTORIZATION FORMULAE

    TARGET PUBLICATION|Exercise EVALUATION TEST|8 Videos

Similar Questions

Explore conceptually related problems

Find the locus of the center of the circle which cuts off intercepts of lengths 2a and 2b from the x-and the y-axis,respectively.

Find the locus of the centre of a circle which passes through the origin and cuts off a length 2l from the line x=c .

Find the equation of the line which cuts off intercepts 4 and -6 on the x-axis and y-axis respectively.

The equation of the line which cuts off intercepts 2a sec theta and 2a cosec theta on X-axis and Y-axis respectively is

The locus of the centre of circle which cuts off an intercept of constant length on the x-axis and which through a fixed point on the y-axis, is

Find the equation of the line which cuts off intercepts-3 and 5 on the x-axis and y-axis respectively.

Find the equation of the line cutting off intercepts of 2 and 4 on negative x-axis and negative y-axis respectively.

The locus of the centere of a circle which passes through the point (0,0) and cuts off a length 2b from the line x=c is-

Find the equation of a line which cuts an intercept of 3 and -4 units from X -axis and Y -axis respectively.

Find the equation of a circle which passes through the origin and cuts off intercepts - 2 and 3 from the x - axis and the y - axis respectively.

TARGET PUBLICATION-CIRCLE AND CONICS -CRITICAL THINKING
  1. The equation of circle concentric with circle x^2+y^2-6x+ 12y+ 15=0 an...

    Text Solution

    |

  2. the equation of the circle passing through the point (2,1) and touchin...

    Text Solution

    |

  3. Find the locus of the center of the circle which cuts off intercepts o...

    Text Solution

    |

  4. If a circle passes through the point (0,0),(a ,0)a n d(0, b) , then fi...

    Text Solution

    |

  5. For what value ofk, the points (0,0), (1, 3), (2, 4) and (k, 3) are c...

    Text Solution

    |

  6. The centre and radius of a circle given by equation x =2 +3 cos theta,...

    Text Solution

    |

  7. Radius of the parametric equation represented by x = 2a ((1- t ^(2))/(...

    Text Solution

    |

  8. Prove that for all values of theta , the locus of the point of interse...

    Text Solution

    |

  9. The equatio of the parabola with its vertex at the origin, axis on the...

    Text Solution

    |

  10. Equation of the parabola, whose vertex is (-1,-2), axis is vertical an...

    Text Solution

    |

  11. The equation of the parabola whose vertex is at(2, 1) and focus at(2, ...

    Text Solution

    |

  12. Equation of the parabola whose directrix is y =2x -9 and focus (-8,-2)...

    Text Solution

    |

  13. The equation of the parabola with focus (a, b) and directrix x/a+y/b=1...

    Text Solution

    |

  14. Write the equation of the parabola with focus (0,0) and directrix x+y-...

    Text Solution

    |

  15. The equation (13x -1)^(2) + (13y -1)^(2) =k (5x-12y+1)^(2) will repr...

    Text Solution

    |

  16. vertex of the parabola 9x^2-6x + 36y + 9 = 0 is

    Text Solution

    |

  17. The equation of parabola is y ^(2) + 8x -12 y+20=0, then which of the ...

    Text Solution

    |

  18. If the vertex of the parabola y=x^(2)x+c lies on x-axis, then the valu...

    Text Solution

    |

  19. If the line x-1=0 is the directrix of the parabola y^2-k x+8=0 , then ...

    Text Solution

    |

  20. The axis of the parabola 9y^2-16x-12y-57 = 0 is

    Text Solution

    |