Home
Class 11
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 & 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`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 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

Find the centre and radius of the circle 3x^2 + 3y^2 - 8x - 10y + 3=0

The circle x^2+y^2-8x = 0 and hyperbola x^2 /9 - y^2 /4=1 intersect at the points A and B. Then the equation of the circle with AB as its diameter is

If the pairs of lines x^2+2x y+a y^2=0 and a x^2+2x y+y^2=0 have exactly one line in common, then the joint equation of the other two lines is given by (1) 3x^2+8x y-3y^2=0 (2) 3x^2+10 x y+3y^2=0 (3) y^2+2x y-3x^2=0 (4) x^2+2x y-3y^2=0

If the pairs of lines x^2+2x y+a y^2=0 and a x^2+2x y+y^2=0 have exactly one line in common, then the joint equation of the other two lines is given by 3x^2+8x y-3y^2=0 3x^2+10 x y+3y^2=0 y^2+2x y-3x^2=0 x^2+2x y-3y^2=0

If x=9 is the chord of contact of the hyperbola x^2-y^2=9 then the equation of the corresponding pair of tangents is (A) 9x^2-8y^2+18x-9=0 (B) 9x^2-8y^2-18x+9=0 (C) 9x^2-8y^2-18x-9=0 (D) 9x^2-8y^2+18x+9=0

If x=9 is the chord of contact of the hyperbola x^2-y^2=9 then the equation of the corresponding pair of tangents is (A) 9x^2-8y^2+18x-9=0 (B) 9x^2-8y^2-18x+9=0 (C) 9x^2-8y^2-18x-9=0 (D) 9x^2-8y^2+18x+9=0

If x=9 is the chord of contact of the hyperbola x^2-y^2=9 then the equation of the corresponding pair of tangents is (A) 9x^2-8y^2+18x-9=0 (B) 9x^2-8y^2-18x+9=0 (C) 9x^2-8y^2-18x-9=0 (D) 9x^2-8y^2+18x+9=0

The equation of the chord of the circle x^(2)+y^(2)-6x+8y=0 which is bisected at the point (5, -3), is

The point of tangency of the circles x^2+ y^2 - 2x-4y = 0 and x^2 + y^2-8y -4 = 0 , is

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. If the conics whose equations are S1:(sin^2theta)x^2+(2htantheta)x y+(...

    Text Solution

    |

  2. The range of values of a such that the angle theta between the pair of...

    Text Solution

    |

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

    Text Solution

    |

  4. Tangents are drawn from external poinl P(6,8) to the circle x^2+y^2 =...

    Text Solution

    |

  5. The radius of the circle touching the line 2x + 3y +1 = 0 at (1,-1) an...

    Text Solution

    |

  6. If the abscissa and ordinates of two points P and Q are the roots of t...

    Text Solution

    |

  7. Line segments A C and B D are diameters of the circle of radius 1. If ...

    Text Solution

    |

  8. As shown in the figure, three circles which have the same radius r,hav...

    Text Solution

    |

  9. The acute angle between the line 3x-4y=5 and the circle x^2+y^2-4x+2y-...

    Text Solution

    |

  10. If two perpendicular tangents can be drawn from the origin to the c...

    Text Solution

    |

  11. Let A(−4,0), B(4,0) & C(x,y) be points on the circle x^2 + y^2 = 16 su...

    Text Solution

    |

  12. If the circle x^2 + y^2 + ( 3 + sin beta) x + 2 cos alpha y = 0 and x...

    Text Solution

    |

  13. A tangent at a point on the circle x^2+y^2=a^2 intersects a concentric...

    Text Solution

    |

  14. Tangent are drawn to the circle x^2+y^2=1 at the points where it is me...

    Text Solution

    |

  15. From the points (3, 4), chords are drawn to the circle x^2+y^2-4x=0 ....

    Text Solution

    |

  16. The angles at which the circles (x-1)^2+y^2=10a n dx^2+(y-2)^2=5 inte...

    Text Solution

    |

  17. Two circles of radii 4cm and 1cm touch each other externally and theta...

    Text Solution

    |

  18. The locus of the midpoints of the chords of the circle x^2+y^2-a x-b y...

    Text Solution

    |

  19. A is a point (a, b) in the first quadrant. If the two circIes which pa...

    Text Solution

    |

  20. The number of common tangent(s) to the circles x^2+y^2+2x+8y-23=0 and ...

    Text Solution

    |