Home
Class 12
MATHS
If the line x+3y=0 is tangent at (0,0) t...

If the line x+3y=0 is tangent at (0,0) to the circle of radius 1, then the centre of one such circle is

A

(3, 0)

B

`((-1)/(sqrt(10)),(3)/(sqrt(10)))`

C

`((3)/(sqrt(10)),(-3)/(sqrt(10)))`

D

`((1)/(sqrt(10)),(3)/(sqrt(10)))`

Text Solution

Verified by Experts

The correct Answer is:
D
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

If x+3y=0 is a tangent to the circle with centre at (-1,2) then show that the other tangent to the circle from the origin is 3x=y=0

If the line ax+by =1 is a tangent to the circle S_(r) equiv x^(2)+y^(2)-r^(2)=0 , then which one of the following is true ?

The lines 3x-4y +4=0 and 6x-8y-7=0 are tangents to the same circle. The radius of the circle is

A circle touches the x-axis and also touches the circle with centre at (0,3) and radius 2. The locus of the centre of the circle is

SIA PUBLICATION-CIRCLE-PROBLEMS
  1. Given the circle C with the equation x^(2) + y^(2) - 2x + 10y - 38 = 0...

    Text Solution

    |

  2. Consider the circle x^(2)+y^(2)-4x-2y+c=0 whose centre is A(2, 1) If t...

    Text Solution

    |

  3. If the line x+3y=0 is tangent at (0,0) to the circle of radius 1, then...

    Text Solution

    |

  4. The radius of the circle r = 12 cos theta + 5 sin theta is

    Text Solution

    |

  5. If the line y=2x+c is a tangent to the circle x^(2)+y^(2)=5 then a val...

    Text Solution

    |

  6. A line segment AM=a moves in the XOY plane such that AM is parallel to...

    Text Solution

    |

  7. If the lines 3x+4y-14=0 and 6x+8y+7=0 are both tangents to a circle, t...

    Text Solution

    |

  8. The equation of the circle concentric with the circle x^(2)+y^(2)-6x+1...

    Text Solution

    |

  9. The length of the common chord of the circles of radii 15 and 20, whos...

    Text Solution

    |

  10. The equations of the circles which pass through the origin and makes i...

    Text Solution

    |

  11. The locus of centre of a circle which passes through the origin and cu...

    Text Solution

    |

  12. The diameters of a circle pre along 2x+y-7=0 and x+3y- 11=0. Then, the...

    Text Solution

    |

  13. If the lines 2x -3y=5 and 3x-4y=7 are two diameters of a circle of rad...

    Text Solution

    |

  14. The inverse of the point (1, 2) with respect to the circle x^(2) + y^(...

    Text Solution

    |

  15. If theta is the angle between the tangents from (-1,0) to the circle x...

    Text Solution

    |

  16. The radius of the circle with the polar equation r^(2) - 8r (sqrt(3) c...

    Text Solution

    |

  17. The equation of the circle of radius 3 that lies in the fourth quadran...

    Text Solution

    |

  18. The polar equation of the circle with centre (2, (pi)/(2)) and radius ...

    Text Solution

    |

  19. The number of common tangentss to the circles x^(2)+y^(2)-8x+2y=0 and ...

    Text Solution

    |

  20. Statement I The circle x^(2) + y^(2) - 6x - 4y - 7 = 0 touches y-axis ...

    Text Solution

    |