Home
Class 11
MATHS
From the point A(0,3) on the circle x^2 ...

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

A

`x ^(2) + y^(2)-8x- 6y + 9=0`

B

`x ^(2) + y ^(2) = 8x + 6y+ 9=0`

C

`x ^(2) + y ^(2) + 8x - 6y + 9=0`

D

`x ^(2) + y^(2) -8x + 6y + 9=0`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CIRCLE AND CONICS

    TARGET PUBLICATION|Exercise EVALUATION TEST|28 Videos

  • CIRCLE AND CONICS

    TARGET PUBLICATION|Exercise CRITICAL THINKING|75 Videos

  • FACTORIZATION FORMULAE

    TARGET PUBLICATION|Exercise EVALUATION TEST|8 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 & extended to a M point such that AM=2AB. The equation of the locus of M is: (A)x^2 +8x+y^2 =0 (B)x^2+8x+(y-3)^2=0 (C)(x-3)^2+8x+y^2=0 (D)x^2+8x+8y^=0

From the point A(0, 3) on the circle x^(2)+4x+(y-3)^(2)=0 , a chord AB is drawn and extended from point B to a point M such that AM = 2AB. The perimeter of the locus of M is ppi units. Then, the value of p is

From the point A(0, 3) on the circle x^(2)+9x+(y-3)^(2)=0, a chord AB is drawn and extended to a point M such that AM = 2AB (B lies between A & M). The locus of the point M is

From a point A(1, 1) on the circle x^(2)+y^(2)-4x-4y+6=0 two equal chords AB and AC of length 2 units are drawn. The equation of chord BC, is

A variable chord of the circle x^(2)+y^(2)=4 is drawn from the point P(3,5) meting the circle at the point A and B. A point Q is taken on the chord such that 2PQ=PA+PB The locus of Q is x^(2)+y^(2)+3x+4y=0x^(2)+y^(2)=36x^(2)+y^(2)=16x^(2)+y^(2)-3x-5y=0

If the tangents AB and AQ are drawn from the point A(3, -1) to the circle x^(2)+y^(2)-3x+2y-7=0 and C is the centre of circle, then the area of quadrilateral APCQ is :

Tangent drawn from the point P(4,0) to the circle x^(2)+y^(2)=8 touches it at the point A in the first quadrant.Find the coordinates of another point B on the circle such that AB=4.

Tangents drawn from the point (4, 3) to the circle x^(2)+y^(2)-2x-4y=0 are inclined at an angle

Tangents are drawn from P(3,0) to the circle x^(2)+y^(2)=1 touches the circle at points A and B.The equation of locus of the point whose distances from the point P and the line AB are equal is

Tangents are drawn from (4, 4) to the circle x^(2) + y^(2) – 2x – 2y – 7 = 0 to meet the circle at A and B. The length of the chord AB is

TARGET PUBLICATION-CIRCLE AND CONICS -COMPETITIVE THINKING
  1. The line segment joining the foci of the hyperbola x^2 – y^2 +1 = 0 is...

    Text Solution

    |

  2. If the foci of the ellipse (x^(2))/(16)+(y^(2))/(b^(2))=1 and the hype...

    Text Solution

    |

  3. Let the eccentricity of the hyperbola (x ^(2))/(a ^(2))- (y ^(3))/(b ^...

    Text Solution

    |

  4. Let the eccentricity of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=...

    Text Solution

    |

  5. The length of the straight line x-3y=1, intercept by the hyperbola x^2...

    Text Solution

    |

  6. The locue of the mis-points of the chords of the circel x ^(2) + y ^(2...

    Text Solution

    |

  7. If x + y+ k =0 touches the circle x ^(2) + y^(2) -2x -4y + 3 =0, then ...

    Text Solution

    |

  8. If the lines 3x-4y+4=0a d n6x-8y-7=0 are tangents to a circle, then fi...

    Text Solution

    |

  9. From the point A(0,3) on the circle x^2 +4x + (y-3)^2 = 0 a chord AB ...

    Text Solution

    |

  10. For any a in R, then locus x ^(2) + y^(2) - 2ay + a ^(2) =0 touches ...

    Text Solution

    |

  11. The equation of a diameter of circle x ^(2) + y^(2)-6x + 2y =0, passin...

    Text Solution

    |

  12. The centres of those circles which touch the circle x^(2) + y^(2) - 8...

    Text Solution

    |

  13. Let A be the centre of the circle x^(2)+y^(2)-2x-4y-20=0 .The tangents...

    Text Solution

    |

  14. Let the orthocentre and centroid of a triangle be (-3,5) and B(3,3) r...

    Text Solution

    |

  15. The equation of a parabola which passes through the point of intersect...

    Text Solution

    |

  16. Let the equation of an ellipse be (x^(2))/(144) + (y^(2))/(25) = 1 ....

    Text Solution

    |

  17. The lines y = 2x + sqrt 76 and 2y + x=8 touch the ellipse (x ^(2))/(16...

    Text Solution

    |

  18. A bar of given length moves with its extremities on two fixed strai...

    Text Solution

    |

  19. The distance of the mid -point of line joining two ponts (4,0) and (0,...

    Text Solution

    |

  20. Tangents are drawn to the hyperbola 4x^2-y^2=36 at the points P and Q....

    Text Solution

    |