Home
Class 12
MATHS
From the point A (0,3) on the circle x...

From the point A `(0,3)` on the circle
`x^(2)+ 4x+(y-3)^(2) = 0` a chord AB is drawn
and extended to a point M such that
AM = 2 AB. Find the equation of the locus
of M.

Text Solution

Verified by Experts

The correct Answer is:
`x^(2)+ y^(2) + 8x - 6y + 9 = 0`
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 1(a)|66 Videos

  • CIRCLE

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 1(b)|15 Videos

  • BINOMIAL THEOREM

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TETUAL EXERCISES (EXERCISE - 6(c)) I.|15 Videos

  • COMPLEX NUMBERS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise LAQ|1 Videos

Similar Questions

Explore conceptually related problems

From the point A(0,3) on the circle x^(2)+4x+(y-3)^(2)=0 , a chord AB is drawn and extended to a point P, such that AP=2AB. The locus of P is

If a point P is moving such that the lengths of the tangents drawn form P to the circles x^(2) + y^(2) + 8x + 12y + 15 = 0 and x^(2) + y^(2) - 4 x - 6y - 12 = 0 are equal then find the equation of the locus of P

For the circle 2x^(2)+2y^(2)-5x-4y-3=0 the point (3, 5)

For the circle x^(2)+y^(2)-4x-2y-36=0 , the point (3, 5)

Find the locus of midpoint of chords of the circle x ^(2) + y ^(2) = r^(2) , substending a right angle at the point (a,b)

If the abscissae of points A, B are the roots of the equation x^(2) + 2ax -b^(2) =0 and ordinates of A, B are roots of y^(2) + 2py -q^(2) =0 , then find the equation of the circle for which AB is a diameter.

If a tangnet drawn from the point (4,0) to the circle x^(2)+y^(2)=8 touches it at a point A in the first quadrant, then the coordinates of another point B on the circle such that AB=4 are

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-CIRCLE-EXERCISE - 1(e)
  1. From the point A (0,3) on the circle x^(2)+ 4x+(y-3)^(2) = 0 a chord...

    Text Solution

    |

  2. Discuss the relative position of the fol- lowing pair of circles. ...

    Text Solution

    |

  3. Discuss the relative position of the fol- lowing pair of circles. ...

    Text Solution

    |

  4. Discuss the relative position of the fol- lowing pair of circles. ...

    Text Solution

    |

  5. Discuss the relative position of the fol- lowing pair of circles. ...

    Text Solution

    |

  6. Find the number of possible common tangents that exist for the follo...

    Text Solution

    |

  7. Find the number of possible common tangents that exist for the follo...

    Text Solution

    |

  8. Find the number of possible common tangents that exist for the follo...

    Text Solution

    |

  9. Find the number of possible common tangents that exist for the follo...

    Text Solution

    |

  10. Find the number of possible common tangents that exist for the follo...

    Text Solution

    |

  11. Find the internal centre of similitude for the circles x^(2) + y^(2)...

    Text Solution

    |

  12. Find the external centre of similitude for the circles x^(2) + y^(2...

    Text Solution

    |

  13. Show that the circle x^(2) +y^2) - 6x -2y + 1 = 0, x^(2) + y^(2)...

    Text Solution

    |

  14. Show thet x^(2) + y^(2) - 6x - 9y + 13 = 0 , x^(2) + y^(2) - 2x - 1...

    Text Solution

    |

  15. Find the equation of the circle which touches the circle x^(2) + y^(...

    Text Solution

    |

  16. Find the direct common tangents of the circles. x^(2) + y^(2) + 2...

    Text Solution

    |

  17. Find the transverse common tangents of the circles x^(2) + y^(2) -4...

    Text Solution

    |

  18. Find the pair of tangents from (4, 10) to the circle x^(2) + y^(2) =...

    Text Solution

    |

  19. Find the pair of tangents drawn from (0,0) to x^(2) + y^(2) + 10x + ...

    Text Solution

    |

  20. Find thhe equation of the circle which touches x^(2) + y^(2) - 4x +6...

    Text Solution

    |

  21. Find all common tangents of the following pairs of circles. x^(2) ...

    Text Solution

    |