Home
Class 11
MATHS
Suppose a x+b y+c=0 , where a ,ba n dc ...

Suppose `a x+b y+c=0` , where `a ,ba n dc` are in `A P` be normal to a family of circles. The equation of the circle of the family intersecting the circle `x^2+y^2-4x-4y-1=0` orthogonally is (a)`x^2+y^2-2x+4y-3=0` (b)`x^2+y^2-2x+4y+3=0` (c)`x^2+y^2+2x+4y+3=0` (d) `x^2+y^2+2x-4y+3=0`

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

The equation of the circle passing through the point of intersection of the circles x^2+y^2-4x-2y=8 and x^2+y^2-2x-4y=8 and the point (-1,4) is (a) x^2+y^2+4x+4y-8=0 (b) x^2+y^2-3x+4y+8=0 (c) x^2+y^2+x+y=0 (d) x^2+y^2-3x-3y-8=0

Find the point of intersection of the circle x^2+y^2-3x-4y+2=0 with the x-axis.

The equation of the circle whose diameter is the common chord of the circles x^2+y^2+3x+2y+1=0 and x^2+y^2+3x+4y+2=0 is

The circle x^2 + y^2 - 2x - 4y + 1 = 0 and x^2 + y^2 + 4x + 4y - 1 = 0

Equation of the circles concentric with the circle x^(2)+y^(2)-2x-4y=0 and touching the circle x^(2)+y^(2)+ 2x=1 must be-

The equation of the circel whose diameter is the common chord of the circles x ^(2) + y^(2) +2x +3y+2=0 and x ^(2) + y^(2) +2x -3y-4=0 is-

The equation of a circle of radius 1 touching the circles x^2+y^2-2|x|=0 is (a) x^2+y^2+2sqrt(2)x+1=0 (b) x^2+y^2-2sqrt(3)y+2=0 (c) x^2+y^2+2sqrt(3)y+2=0 (d) x^2+y^2-2sqrt(2)+1=0

Find the centre and the radius of the circle. 2x^2+2y^2-4x+8y-4=0

Find the angle of intersection of the curve x^2+y^2-4x-1=0 and x^2+y^2-2y-9=0 .

Find the equation of the circle of minimum radius which contains the three circles x^2-y^2-4y-5=0 x^2+y^2+12x+4y+31=0 and x^2+y^2+6x+12y+36=0

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. The minimum radius of the circle which is orthogonal with both the c...

    Text Solution

    |

  2. If a circle of radius r is touching the lines x^2-4x y+y^2=0 in the ...

    Text Solution

    |

  3. Suppose a x+b y+c=0 , where a ,ba n dc are in A P be normal to a fa...

    Text Solution

    |

  4. Two circles of radii a and b touching each other externally, are inscr...

    Text Solution

    |

  5. Let C be any circle with centre (0,sqrt(2))dot Prove that at most two ...

    Text Solution

    |

  6. Let a circle be given by 2x(x-a)+y(2y-b)=0,(a!=0,b!=0) . Find the cond...

    Text Solution

    |

  7. Consider a family of circles passing through the points (3, 7) and (6,...

    Text Solution

    |

  8. Let xa n dy be real variables satisfying x^2+y^2+8x-10 y-40=0 . Let a=...

    Text Solution

    |

  9. A(1/(sqrt(2)),1/(sqrt(2))) is a point on the circle x^2+y^2=1 and B is...

    Text Solution

    |

  10. Tangent drawn from the point (a ,3) to the circle 2x^2+2y^2=25 will be...

    Text Solution

    |

  11. Consider the circle x^2 + y^2 - 10x - 6y + 30 = 0 Let O be the centre ...

    Text Solution

    |

  12. If the circle x^2+y^2+2a1x+c=0 lies completely inside the circle x^2+y...

    Text Solution

    |

  13. Let A B C be a triangle right-angled at Aa n dS be its circumcircle. L...

    Text Solution

    |

  14. ABCD is a rectangle. A circle passing through vertex C touches the sid...

    Text Solution

    |

  15. If the length of the common chord of two circles x^2+y^2+8x+1=0 and x^...

    Text Solution

    |

  16. Find the equation of the circle of minimum radius which contains the t...

    Text Solution

    |

  17. The locus of the midpoint of a chord of the circle x^2+y^2=4 which sub...

    Text Solution

    |

  18. Tangents are drawn from the point (17, 7) to the circle x^2+y^2=169, S...

    Text Solution

    |

  19. The equation of the line passing through the points of intersection of...

    Text Solution

    |

  20. The locus of the mid-point of the chord of contact of tangents drawn f...

    Text Solution

    |