Home
Class 12
MATHS
Origin is a limiting point of a coaxial ...

Origin is a limiting point of a coaxial system of which `x^(2)+y^(2)-6x-8y+1=0` is a member. The other limiting point, is

A

(-2, -4)

B

(3/25, 4/25)

C

(-3/25, -4/25)

D

(4/25, 3/25)

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    OBJECTIVE RD SHARMA|Exercise Chapter Test|55 Videos
  • CIRCLES

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|12 Videos
  • CARTESIAN PRODUCT OF SETS AND RELATIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|31 Videos
  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|59 Videos

Similar Questions

Explore conceptually related problems

Limiting points of the coaxial system

If the origin be one limiting point of system of co-axial circles of which x^(2)+y^(2)+3x+4y+25=0 is a member ,find the other limiting point.

The point (2,3) is a limiting point of a co-axial system of circles of which x^(2)+y^(2)=9 is a member. The coordinates of the other limiting point is given by

If (1, 2) is a limiting point of a coaxial system of circles containing the circle x^(2)+y^(2)+x-5y+9=0 , then the equation of the radical axis, is

Statement-1: If limiting points of a family of co-axial system of circles are (1, 1) and (3, 3), then 2x^(2)+2y^(2)-3x-3y=0 is a member of this family passing through the origin. Statement-2: Limiting points of a family of coaxial circles are the centres of the circles with zero radius.

The equation of the chord of the circle x^(2)+y^(2)-6x+8y=0 which is bisected at the point (5, -3), is

OBJECTIVE RD SHARMA-CIRCLES-Exercise
  1. Two circle x^2+y^2=6 and x^2+y^2-6x+8=0 are given. Then the equation o...

    Text Solution

    |

  2. The equation of the circle described on the common chord of the circle...

    Text Solution

    |

  3. Origin is a limiting point of a coaxial system of which x^(2)+y^(2)-6x...

    Text Solution

    |

  4. A circle passes through the origin and has its center on y=x If it cut...

    Text Solution

    |

  5. The number of common tangents to the circles x^2+y^2-x = 0 and x^2 + ...

    Text Solution

    |

  6. Consider the circles x^2+(y-1)^2=9,(x-1)^2+y^2=25. They are such that ...

    Text Solution

    |

  7. A circle touches the x-axis and also touches the circle with center (...

    Text Solution

    |

  8. The circles x^(2)+y^(2)-4x-6y-12=0 and x^(2)+y^(2)+4x+6y+4=0

    Text Solution

    |

  9. Write the equation of the unit circle concentric with x^2+y^2-8x+4y-8=...

    Text Solution

    |

  10. The point (sintheta, costheta). theta being any real number, die insid...

    Text Solution

    |

  11. The range of values of theta in [0, 2pi] for which (1+ cos theta, sin ...

    Text Solution

    |

  12. The range of values of a for which the point (a, 4) is outside the cir...

    Text Solution

    |

  13. IF (alpha, beta) is a point on the chord PQ of the circle x^(2)+y^(2)=...

    Text Solution

    |

  14. If the point (lambda,lambda+1) lies inside the region bounded by the c...

    Text Solution

    |

  15. The range of values of r for which the point (-5+r/sqrt2,-3+r/sqrt2) i...

    Text Solution

    |

  16. The abscissa of the two points A and B are the roots of the equation x...

    Text Solution

    |

  17. Three sided of a triangle have equations L1-=y-mi x=o; i=1,2a n d3. Th...

    Text Solution

    |

  18. if y = mx is a chord of a circle of radius a and the diameter of the c...

    Text Solution

    |

  19. 18. The straight lines joining the origin to the points of intersectio...

    Text Solution

    |

  20. Find the locus of the point of intersection of tangents to the circle ...

    Text Solution

    |