Home
Class 12
MATHS
A chord AB is drawn from the point A(0,3...

A chord AB is drawn from the point A(0,3) on the circle `x^(2)+4x+(y-3)^(2)=0`, and is extended to M such that AM=2AB. 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:
B, C
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise HS (XI) AND WBJEE 2019 (HS (XI) 2019) (GROUP -A)|10 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise HS (XI) AND WBJEE 2019 (HS (XI) 2019) (GROUP -B)|14 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise HS (XI) AND WBJEE 2018 (GROUP - D)|9 Videos

  • METHOD OF SUBSTITUTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos

  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 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^2=0

Find the lengths of the tangents drawn from the point. (-1,1) to the circle x^(2)+y^(2)-2x+4y+1=0

Locus of the image of the point (2,3) in the line (2x-3y+4)+k(x-2y+3)=0 , k inR , is a

A variable chord of the circle x^2+y^2=4 is drawn from the point P(3,5) meeting the circle at the point A and Bdot A point Q is taken on the chord such that 2P Q=P A+P B . The locus of Q is (a) x^2+y^2+3x+4y=0 (b) x^2+y^2=36 (c) x^2+y^2=16 (d) x^2+y^2-3x-5y=0

The angle between the two tangents drawn from a point p to the circle x^(2)+y^(2)=a^(2) is 120^(@) . Show that the locus of P is the circle x^(2)+y^(2)=(4a^(2))/(3)

Find the lengths of the tangents drawn from the point. (x_(1),y_(1)) to the circle x^(2)+y^(2)+2x=0

Find the equations of the tangents drawn from the point A(3, 2) to the circle x^2 + y^2 + 4x + 6y + 8 = 0

Find the lengths of the tangent drawn from the point. (2,-2) to the circle 3(x^(2)+y^(2))-4x-7y=3

Find the length of tangents drawn from the point (3, -4) to the circle 2x^2 + 2y^2 - 7x - 9y - 13 = 0

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

CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-WBJEE 2018
  1. If sin6theta+sin4theta+sin2theta=0, then general value of theta is

    Text Solution

    |

  2. Without changing the direction of the axes, the origin is transferred ...

    Text Solution

    |

  3. The point Q is the image of the point P(1,5) about the line y=x and R ...

    Text Solution

    |

  4. The angular points of a triangle are A(-1,-7),B(5,1)andC(1,4). The equ...

    Text Solution

    |

  5. If one of the diameters of the circle, given by the equation x^(2)+y^(...

    Text Solution

    |

  6. A chord AB is drawn from the point A(0,3) on the circle x^(2)+4x+(y-3)...

    Text Solution

    |

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

    Text Solution

    |

  8. Let A, B be two distinct points on the parabola y^(2)=4x. If the axis ...

    Text Solution

    |

  9. Let P(at^(2),2at),Q,R(ar^(2),2ar) be three points on a parabola y^(2)=...

    Text Solution

    |

  10. Let P be a point on the ellipse (x^(2))/(9)+(y^(2))/(4)=1 and the line...

    Text Solution

    |

  11. Let z(1)andz(2) be complex numbers such that z(1)nez(2)and|z(1)|=|z(2)...

    Text Solution

    |

  12. From a collection of 20 consecutive natural numbers, four are selected...

    Text Solution

    |

  13. A line cuts the x-axis at A(5,0) and the y-axis at B(0,-3). A variable...

    Text Solution

    |

  14. Let A be the centre of the circle x^(2)+y^(2)-2x-4y-20=0. Let B(1,7) a...

    Text Solution

    |

  15. Consider the parabola y^(2)=4x. Let P and Q be points on the parabola ...

    Text Solution

    |

  16. If the equation x^(2)-cx+d=0 has roots equal to the fourth powers of t...

    Text Solution

    |

  17. On the occasion of Dipawali festival each student of a class sends gre...

    Text Solution

    |

  18. The area of the triangle formed by the intersectionf of a line paralla...

    Text Solution

    |

  19. A hyperbola, having the transverse axis of length 2sintheta is confoca...

    Text Solution

    |

  20. Consider the function y=log(a)(x+sqrt(x^(2)+1)),agt0,ane1. The inverse...

    Text Solution

    |