Home
Class 11
MATHS
Consider a family of circles passing thr...

Consider a family of circles passing through the points (3, 7) and (6,5). Answer the following questions. Number of circles which belong to the family and also touchingx- axis are

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

Consider a family of circles passing through the point (3,7) and (6,5). Answer the following questions. If the circle which belongs to the given family cuts the circle x^(2)+y^2=29 orthogonally, then the center of that circle is (a) (1 / 2 , 3 / 2 ) (b) ( 9 / 2 , 7 / 2 ) (c) ( 7 / 2 , 9 / 2 ) (d) ( 3 , − 7 / 9 )

Consider a family of circles passing through the point (3,7) and (6,5). Answer the following questions. If each circle in the family cuts the circle x^(2)+y^(2)-4x-6y-3=0 , then all the common chords pass through the fixed point which is

Find the equation of circle passing through the points (1,-2) and (3,-4) and touches the X-axis.

Find the centre of a circle passing through the points (6,\ -6),\ (3,\ -7) and (3,\ 3).

consider a family of circles passing through two fixed points S(3,7) and B(6,5) . If the common chords of the circle x^(2)+y^(2)-4x-6y-3=0 and the members of the family of circles pass through a fixed point (a,b), then

Find the equation of the circle passing through the point: (1,2) , (3,-4) and (5,-6) .

Find the equation of a circle passing through the points (5,7),(6,6)and(2,-2) . Find its centre and radius.

Find the equation of the circle which passes through the points (2, 8), (5, 7) and (6, 6) .

Find the equation of the circle which passes through the points (3,4),(3,-6) and (1,2).

Find the equation of a circle passing through the points (-1,5) and (-7,5) and its centre lies on the line 3x+4y+8=0.

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Consider a curve ax^2+2hxy+by^2=1 and a point P not on the curve. A li...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. Let C,C1,C2 be circles of radii 5,3,2 respectively. C1 and C2, touch e...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. The equation of circle of minimum radius which contacts the three circ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. If the tangent at the point P(2,4) to the parabola y^2=8x meets the pa...

    Text Solution

    |

  19. Find the locus of the midpoints of the portion of the normal to the ...

    Text Solution

    |

  20. An equilateral triangle is inscribed in the parabola y^2=4a x , such t...

    Text Solution

    |