Home
Class 12
MATHS
Find the parametric equation of the circ...

Find the parametric equation of the circle `x^(2) + y^(2) + 4x - 8y - 5 = 0`.

Text Solution

Verified by Experts

The correct Answer is:
`x = -2 + 5 cos theta, y = 4 + 5 sin theta`
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    CHHAYA PUBLICATION|Exercise Exercise 3 (Short Answer Type Questions)|41 Videos
  • CIRCLE

    CHHAYA PUBLICATION|Exercise Exercise 3 (Long Answer Type Questions)|25 Videos
  • CIRCLE

    CHHAYA PUBLICATION|Exercise Exercise 3 (Multiple Choice Questions)|15 Videos
  • CALCULUS

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive (2014)|2 Videos
  • COMPLEX NUMBER

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTION FOR COMPETITIVE EXAMS(Multiple Corrrect Answer type)|11 Videos

Similar Questions

Explore conceptually related problems

Find the parametric equation of the circle x^(2) + y^(2) - 5x + 2y + 5 = 0 .

Find the parametric form of the equation of the circle x^2+y^2+p x+p y=0.

Find the equation of the circles which passes through the origin and the points of intersection of the circles x^(2) + y^(2) - 4x - 8y + 16 = 0 and x^(2) + y^(2) + 6x - 4y - 3 = 0 .

State which of the following is the radius of the circle x^(2) + y^(2) + 4x - 8y - 5 = 0 ?

The parametric equations of the parabola y^(2) = 12x are _

Find the equation of the diameter of the circle x^(2) + y^(2) - 4x + 6y + 9 = 0 which passes through the point (1, -2).

Find the equation of the circle concentric with the circle x^(2) + y^(2) + 4x - 6y - 13 = 0 and passing through the centre of the circle x^(2) + y^(2) - 8x - 10y - 8 = 0 .

Find the equation of the circle passing through the points of intersection of the circles x^(2) + y^(2) - x + 7y - 3 = 0, x^(2) + y^(2) - 5x - y + 1 = 0 and having its centre on the line x+y = 0.

Find the equation to the circle described on the common chord of the circles x^(2) + y^(2) - 4x - 2y - 31 = 0 and 2x^(2) + 2y^(2) - 6x + 8y - 35 = 0 as diameter.

Find the equation of the common chord of the two circles x^(2) + y^(2) - 4x - 2y - 31 = 0 and 2x^(2) + 2y^(2) - 6x + 8y - 35 = 0 and show that this chord is perpendicular to the line joining the two centres.

CHHAYA PUBLICATION-CIRCLE-Exercise 3 (Very Short Answer Type Questions)
  1. Examine whether the equation x^(2) + y^(2) - x - 4y + 7 = 0 represents...

    Text Solution

    |

  2. Find the equation of the circle passing through (6, -5) and having cen...

    Text Solution

    |

  3. Find the centre and radius of each of the following circles : 4x^(2)...

    Text Solution

    |

  4. Find the centre and radius of each of the following circles : x^(2) ...

    Text Solution

    |

  5. Find the centre and radius of each of the following circles : 3(x^(2...

    Text Solution

    |

  6. Find the centre and radius of each of the following circles : (x-a)^...

    Text Solution

    |

  7. Under the conditions ax^(2) + 2hxy + by^(2) + 2gx + 2fy + c = 0 will b...

    Text Solution

    |

  8. Find the radius of the circle which passes through the origin and the ...

    Text Solution

    |

  9. Find the equation of the circle for which the line segment joining the...

    Text Solution

    |

  10. Find the position of the unit (-3, -2) with respect to the circle whos...

    Text Solution

    |

  11. Find the equation of the diameter of the circle x^(2) + y^(2) - 4x + 6...

    Text Solution

    |

  12. The straight line 3x-4y +7 = 0 is a tangent to the circle x^(2) + y^(2...

    Text Solution

    |

  13. The length of diameter of the circle x^(2) + y^(2) + 4x - 7y - k = 0 i...

    Text Solution

    |

  14. The coordinates of the centre of the circle 2x^(2)+2y^(2) + ax + by + ...

    Text Solution

    |

  15. Find the equation of the circle which touches both the coordinates axe...

    Text Solution

    |

  16. Find the parametric equation of the circle x^(2) + y^(2) + 4x - 8y - 5...

    Text Solution

    |

  17. The parametric equations of a circle are, x = (1)/(2)(-3+4 cos theta),...

    Text Solution

    |

  18. The equation of the in-circle of an equilateral triangle is x^(2) + y^...

    Text Solution

    |