Home
Class 12
MATHS
Find the equation of the circle which pa...

Find the equation of the circle which passes through the points `(7, 0)`, (0, sqrt(7))` and has its centre on the x-axis.

Text Solution

Verified by Experts

The correct Answer is:
The required equation of the circle is `x^(2) + y^(2) - 6x - 7 = 0`
[Hint : Since the centre of the circle lies on x-axis, therefore the value of k is zero, i.e., we can take the centre of the circle as (h, 0)]
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise Assignment (SECTION - A)|55 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION-B|121 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION - J ( Aakash Challengers Questions )|14 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise section-J (Aakash Challengers Qestions)|16 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise section - J|6 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the circle which passes through the points (3,7),(5,5) and has its centre on the line x-4y=1

Find the equation of the circle which passes through the points (3, -2), (-2, 0) and has its centre on the line 2x - y =3.

Find the equation of the circle which passes through the points (1, 3 ) and (2, - 1 ) , and has its centre on the line 2x + y - 4 = 0

Find the equation of the circle which passes through the two points (6,4),(8,-4) and has centre on the X-axis

Find the equation to the circles which pass through the points : (i) (0,0),(a,0) and (0,b)

The equation of the circle which passes through the point (3, 4) and has its centre at (2, 2) is

Find the equation of circle of a circle which passes through the points (0,-6), (1,1) and (7,-7) .

AAKASH INSTITUTE-CONIC SECTIONS-Try ypurself
  1. Find the centre and radius of the circle x^2+y^2+10 x-12 y+9=0

    Text Solution

    |

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

    Text Solution

    |

  3. Find the equation of the circle which passes through the points (7, 0)...

    Text Solution

    |

  4. Find the length of the diameter of the cirlce which passes through th...

    Text Solution

    |

  5. Find the equation of the circle which passes through the points (2, 8)...

    Text Solution

    |

  6. Find the circle and radius of the circle given by the equation 2x^2...

    Text Solution

    |

  7. Find the centre and radius of the circle ax^(2) + ay^(2) + 2gx + 2fy +...

    Text Solution

    |

  8. Find the equation of the circle, passing through the origin and cuttin...

    Text Solution

    |

  9. Find the equation of the circle, passing through (0, 0) and cutting of...

    Text Solution

    |

  10. If the circle is touching the co-ordinates axes and having centre at (...

    Text Solution

    |

  11. Find the equation of circle of radius 3, passing through the origin an...

    Text Solution

    |

  12. Find the length of the latus rectum of the parabola x^(2) = -8y.

    Text Solution

    |

  13. If y^(2) = -12x is the given equation of the parabola, then find the e...

    Text Solution

    |

  14. Find the equation of the parabola with focus (-3,0) and the equation o...

    Text Solution

    |

  15. Find the equation of the parabola with focus (7, 0) and equation of th...

    Text Solution

    |

  16. Find the equation of the parabola with vertex at origin and focus at (...

    Text Solution

    |

  17. Find the equation of the parabola with vertex at origin and focus at (...

    Text Solution

    |

  18. Find the equation of the parabola which is symmetric about the y-axis ...

    Text Solution

    |

  19. Find the equation of the parabola which is symmetric about the x-axis ...

    Text Solution

    |

  20. Find the area of the triangle formed by the lines joining the vertex o...

    Text Solution

    |