Home
Class 12
MATHS
R is the radical centre of circles S1, S...

R is the radical centre of circles `S_1, S_2` and `S_3`. Prove that if R is on/inside/outside one of the circles then it is similarly situated with respect to other two.

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    MBD PUBLICATION|Exercise QUESTION BANK|76 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    MBD PUBLICATION|Exercise QUESTION TYPE|4 Videos

Similar Questions

Explore conceptually related problems

If a circle S intersects circles S_1 and S_2 orthogonally. Prove that the centre of S lies on the radical axis of S_1 and S_2 .

If centre of one circle lies on or inside another, prove that the circle cannot be orthogonal.

Find the radical axis of the circles x^2+y^2-6x+8y-12=0 and x^2+y^2+6x-8y+12=0 . Prove that the radical axis is perpendicular to the line joining the centers of the two circles.

The radius of a circle increases at a rate of 0.2 cm/s. Calculate the rate of the increase of the area, when the radius is 5 cm.

The radius of a circle-is increasing uniformly at the rate of 3cm // s. Find the rate at which, the area of the circle is increasing, when the radius is 10 cm.

Two charged conducting spheres of radii r_(1) and r_(2) connected to each other by a wire. Find the ratio of electric fields at the surfaces of the two spheres.

If R and S are two equivalence relation on the set then prove that RcapS is also an equivlaence relation on the set.

Between S_N1 and S_N 2 reaction, which one occurs by a carbocation intermediate ?

MBD PUBLICATION-CONIC SECTIONS-QUESTION BANK
  1. If centre of one circle lies on or inside another, prove that the circ...

    Text Solution

    |

  2. If a circle S intersects circles S1 and S2 orthogonally. Prove that th...

    Text Solution

    |

  3. R is the radical centre of circles S1, S2 and S3. Prove that if R is o...

    Text Solution

    |

  4. Determine a circle which cuts orthogonally each of the circles. S1 : x...

    Text Solution

    |

  5. Prove that on pair of concentric circles can have a radical axis.

    Text Solution

    |

  6. The equation of the directrix to the parabola x^2=-6yis .

    Text Solution

    |

  7. The eccentricity of the parabola y^2=8xis .

    Text Solution

    |

  8. The line y+x=k is tangent to the parabola y^2+12x=0 if k=.

    Text Solution

    |

  9. The latus rectum of the parabola (y-2)^2=8(x+3) is .

    Text Solution

    |

  10. The equation of tangent to the parabola x^2=6y at vertex is .

    Text Solution

    |

  11. The equation of axis of the ellipse x^2/16+y^2/9=1 is .

    Text Solution

    |

  12. The equation of the major axis of ellipse (x+1)^2/16+(y-2)^2/9=1 is .

    Text Solution

    |

  13. The distance between the focii of the ellipse 3x^2+4y^2=1 is .

    Text Solution

    |

  14. The ecentricity of the ellipse x^2/16+y^2/25=1 is .

    Text Solution

    |

  15. The line y=2x+k is a tangent to the ellipse 5x^2+y^2=5 if k =.

    Text Solution

    |

  16. The length of the latus rectum of the ellipse (x-2)^2/4+(y+3)^2/25=1 i...

    Text Solution

    |

  17. The equation of the conjugate axis of the hyperbola x^2/9-(y+2)^2/16=1...

    Text Solution

    |

  18. The hyperbola y^2/16-x^2/12=1 intersects x-axis at .

    Text Solution

    |

  19. The eccentricity of the parabola 4x^2-3y^2=1 is .

    Text Solution

    |

  20. The latus rectum of the hyperbola x^2/9-y^2/16=1 is .

    Text Solution

    |