Home
Class 12
MATHS
A circle passes through the point of in...

A circle passes through the point of intersection of the line `x=0` and the circle `x^(2)+y^(2)+2 x=3`. If this passes through `(sqrt(3), 0)` then its centre is

A

(0,0)

B

(0,1)

C

(1,0)

D

(1,1)

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|200 Videos
  • COMMON ENTRANCE TEST - 2014

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

Similar Questions

Explore conceptually related problems

Find the points of intersection of the line 2x+3y=18 and the circle x^(2)+y^(2)=25 .

The equation of the parabola which passes through the intersection of a line x+y=0 and the circle x^(2)+y^(2)+4 y=0 is

The equation of the circle which passes through the points of intersection of the circleS x^(2)+y^(2)-6 x=0 and x^(2)+y^(2)-6 y=0 and has centre at ((3)/(2), \(3)/(2)) is

The centre of a circle passing through the points (0,0),(1,0) and touching the circle x^(2)+y^(2)=9 is

The equation of the diameter of the circle x^(2)+y^(2)+6 x-4 y-2=0 , passing through the point (2,-3) is

Find the equation of the line passing through the point of intersection of the lines 4x + 7y - 3 = 0 " and " 2x - 3y + 1 = 0 that has equal intercepts on the axes.

The chord of contact of the pair of tangents drawn from each point on the line 2 x+y=4 to the circle x^(2)+y^(2)=1 passes through the point

Find the equation of the circle passing through the point of intersection of the circles x^2 + y^2 - 6x + 2y + 4 = 0, x^2 + y^2 + 2x - 4y -6 = 0 and with its centre on the line y = x.

The circle, which passes through the origin and whose centre lies on the line y = x and cutting the circle x^2+y^2-4x-6y+10 = 0 orthogonally is :

HIMALAYA PUBLICATION-CIRCLES-QUESTION BANK
  1. The radical axis of the circleS x^(2)+y^(2)+4 x=1 and 4 x^(2)+4 y^(2)...

    Text Solution

    |

  2. The radical centre of the three circleS deseribed on the three sides ...

    Text Solution

    |

  3. A circle passes through the point of intersection of the line x=0 and...

    Text Solution

    |

  4. If 2 x-3 y=0 is the equation of the common chord of the circleS x^(2)...

    Text Solution

    |

  5. The number of tangtnts from (1,2) to the circle x^(2)+y^(2)-2 x-4 y+4...

    Text Solution

    |

  6. If the circleS x^(2)+y^(2)-6 x-8 y+c=0 and x^(2)+y^(2)=9 have three c...

    Text Solution

    |

  7. The ltngth of the tangtnt to the circle x^(2)+y^(2)-2 x-y-7=0 at (-1,...

    Text Solution

    |

  8. The number of common tangtnts to the circleS x^(2)+y^(2)+2 x+8 y-23=0...

    Text Solution

    |

  9. If two circleS x^(2)+y^(2)=4 and x^(2)+y^(2)-24 x-10 y+a^(2)=0 have e...

    Text Solution

    |

  10. The abscissa of two points A and B are the roots of x^(2)-4 x+2=0 and ...

    Text Solution

    |

  11. The image of the circle x^(2)+y^(2)-2 x=0 in the line x+y=2 is the c...

    Text Solution

    |

  12. The ltngth of the chord of the circle x^(2)+y^(2)-6 x+4 y-5=0 interce...

    Text Solution

    |

  13. Image of the circle x^(2)+y^(2)+16 x+18 y+85=0 in the y -axis is

    Text Solution

    |

  14. The equation of a circle with origin as centre and passing through the...

    Text Solution

    |

  15. A square in inscribed in the circle x^(2)+y^(2)-2 x+4 y-3=0 . Its sid...

    Text Solution

    |

  16. The equation to the circle with centre (2, 1) and touching the line 3x...

    Text Solution

    |

  17. The line y=x+a sqrt(2) touches the circle x^(2)+y^(2)=a^(2) at the po...

    Text Solution

    |

  18. The equation of a circle is x^(2)+y^(2)=25. The equation of its chord...

    Text Solution

    |

  19. The equation of the chord of the circle x^2 + y^2 - 4x = 0, whose mid-...

    Text Solution

    |

  20. The value of k for which the circles x^2 + y^2 - 3x + ky - 5 = 0 and 4...

    Text Solution

    |