Home
Class 12
MATHS
A circle passes through the point (3, 4)...

A circle passes through the point `(3, 4)` and cuts the circle `x^2+y^2=c^2` orthogonally, the locus of its centre is a straight line. If the distance of this straight line from the origin is 25. then `a^2=`

Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION - J ( Aakash Challengers Questions )|14 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION - H ( Multiple True-False Type Questions )|5 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise section-J (Aakash Challengers Qestions)|16 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise section - J|6 Videos

Similar Questions

Explore conceptually related problems

If a circle passes through the point (a,b) and cuts the circle x^(2)+y^(2)=4 orthogonally,then the locus of its centre is

If a circle passes through the point (a,b) and cuts the circle x^(2)+y^(2)=4 orthogonally, then the locus of its centre is

If a circle passes through the point (1, 1) and cuts the circle x^(2)+y^(2)=1 orthogonally, then the locus of its centre is

If a circle Passes through a point (1,2) and cut the circle x^(2)+y^(2)=4 orthogonally,Then the locus of its centre is

If a circle passes through the point (a,b) and cuts the circlex x^(2)+y^(2)=p^(2) equation of the locus of its centre is

If a circle passes through the point (3,4) and cuts the circle x ^(2) + y ^(2) =a ^(2) orthogonally, the equation of the locus of its centre is

AAKASH INSTITUTE-CONIC SECTIONS-SECTION -I ( Subjective Type Questions )
  1. If the points (2, 3), (0, 2), (4, 5) and (0, t) are concyclic, then t^...

    Text Solution

    |

  2. The equation of a tangent to the circle with centre (2, -1) is 3x + y...

    Text Solution

    |

  3. A circle passes through the point (3, 4) and cuts the circle x^2+y^2=c...

    Text Solution

    |

  4. Two circles are inscribed are circumscribed about a square ABCD, lengt...

    Text Solution

    |

  5. The square of the length of the tangent drawn from any point on the ci...

    Text Solution

    |

  6. l and m are the lengths of the tangents from the origin and the point ...

    Text Solution

    |

  7. The least distance between two points P and Q on the circle x^(2) + y^...

    Text Solution

    |

  8. The sum of the square of length of the chord intercepted by the line x...

    Text Solution

    |

  9. The area of the region bounded by the curves {(x,y) : x^(2) + y^(2) le...

    Text Solution

    |

  10. The chord of contact of tangents from 3 points A, B, C to the circle x...

    Text Solution

    |

  11. Let x, y be real variable satisfying x^(2) + y^(2) + 8x - 10y - 59 = 0...

    Text Solution

    |

  12. If the tangent at P to the parabola y^(2) =7x is parallel to 6y -x + 1...

    Text Solution

    |

  13. The equation of the common tangent to the parabolas y^2= 4ax and x^2= ...

    Text Solution

    |

  14. The mirror image of the parabola y^2= 4x in the tangent to the parabol...

    Text Solution

    |

  15. Locus of the point of intersection of the tangents to (x^(2))/((73)^(2...

    Text Solution

    |

  16. Find the equation of the circle passing through the points of intersec...

    Text Solution

    |

  17. Find the equation of the parabola which is symmetric about the y-axis,...

    Text Solution

    |

  18. The point on the curve 2x^(2) + 3y^(2) = 6 which is nearest to the lin...

    Text Solution

    |

  19. The line passing through the extremity A of the major axis and extremi...

    Text Solution

    |

  20. The locus of the point of intersection of tangents drawn at the extrem...

    Text Solution

    |