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 `2a` and `2b` from the x-and the y-axis, respectively.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

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

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 cutting off intercepts of 2 and 4 on negative x-axis and negative y-axis respectively.

The equation of the circles which pass through the origin and makes intercepts of lengths 4 and 8 on the x and y-axis respectively are

Find the equation to the circles which pass through the origin and cut off intercepts equal to (i) 3 and 4, (ii) 2a and 2b from the x-axis and the y-axis respectively.

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

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

Find the equation of a line which cuts off intercepts a and b respectively from the x and y-a x e s .

Find the equation of the circle with center at (3,-1) and which cuts off an intercept of length 6 from the line 2x-5y+18=0

Find the equation of the circle, passing through the origin and cutting off intercepts 2a units and b units on the x-axis and y-axis respectively.

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. If the two circles 2x^2+2y^2-3x+6y+k=0 and x^2+y^2-4x+10 y+16=0 cut or...

    Text Solution

    |

  2. Find the condition that the circle (x-3)^2+(y-4)^2=r^2 lies entirely w...

    Text Solution

    |

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

    Text Solution

    |

  4. Find the equation of a circle whose centre is (3,-1) and which cuts of...

    Text Solution

    |

  5. Find the equation of the circle which touches both the axes and the ...

    Text Solution

    |

  6. Find the equation of the circle which touches the x-axis and whose ...

    Text Solution

    |

  7. Find the equations of the circles which pass through the origin and cu...

    Text Solution

    |

  8. Find the radius of the circle (x-5)(x-1)+(y-7)(y-4)=0 .

    Text Solution

    |

  9. Find the equation of the circle which passes through the points (3,-2)...

    Text Solution

    |

  10. Prove that the locus of the centroid of the triangle whose vertices ar...

    Text Solution

    |

  11. If one end of the diameter of the circle 2x^2+2y^2-4x-8y+2=0 is (3,2),...

    Text Solution

    |

  12. If a circle whose center is (1,-3) touches the line 3x-4y-5=0 , then f...

    Text Solution

    |

  13. Prove that the locus of the point that moves such that the sum of the ...

    Text Solution

    |

  14. Column I|Column II The length of the common chord of two circles...

    Text Solution

    |

  15. The number of integral values of lambda for which the equation x^2+y^2...

    Text Solution

    |

  16. Let C1 and C2 be two circles whose equations are x^2+y^2-2x=0 and x^2+...

    Text Solution

    |

  17. Find the points on the circle x^2+y^2-2x+4y-20=0 which are the farthes...

    Text Solution

    |

  18. If the line xcostheta+ysintheta=2 is the equation of a transverse comm...

    Text Solution

    |

  19. Find the values of alpha for which the point (alpha-1,alpha+1) lies in...

    Text Solution

    |

  20. Statement 1 : The equation of chord through the point (-2,4) which is ...

    Text Solution

    |