Home
Class 12
MATHS
The point from which the tangents to the...

The point from which the tangents to the circles `x^2 +y^2-8x + 40 = 0,5x^2+5y^2 -25x +80=0,`and `x^2 +y^2-8x + 16y + 160 = 0` are equal in length, is

A

`(8, (15)/(2))`

B

`(-8, (15)/(2))`

C

`(8, -(15)/(2))`

D

none of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    MOTION|Exercise Exercise - 2(Level - I) (Objective Problems | JEE Main)|39 Videos

  • CIRCLE

    MOTION|Exercise Exercise -2 (Level - II) Multiple correct | JEE Advanced|14 Videos

  • CIRCLE

    MOTION|Exercise Exercise - 4 | Level - II (Previous Year | JEE Advanced|22 Videos

  • BINOMIAL THEOREM

    MOTION|Exercise Exercise -4 (Level - II) ( Previous Year )|7 Videos

  • COMPLEX NUMBER

    MOTION|Exercise EXERCISE - 4 (LEVEL -II) PREVIOUS YEAR - JEE ADVANCED|33 Videos

Similar Questions

Explore conceptually related problems

The point from which the tangents to the circle x^2 + y^2 - 4x - 6y - 16 = 0, 3x^2 + 3y^2 - 18x + 9y + 6 = 0 and x^2 + y^2 - 8x - 3y + 24 = 0 are equal in length is : (A) (2/3, 4/17) (B) (17/16, 4/15) (C) (17/16, 4/15) (D) (5/4, 2/3)

From a point P , tangents drawn to the circle x^2 + y^2 + x-3=0, 3x^2 + 3y^2 - 5x+3y=0 and 4x^2 + 4y^2 + 8x+7y+9=0 are of equal lengths. Find the equation of the circle through P , which touches the line x+y=5 at the point (6, -1) .

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

The equation (s) of common tangents (s) to the two circles x^(2) + y^(2) + 4x - 2y + 4 = 0 and x^(2) + y^(2) + 8x - 6y + 24 = 0 is/are

The point lying on common tangent to the circles x^(2)+y^(2)=4 and x^(2)+y^(2)+6x+8y-24=0 is

MOTION-CIRCLE-Exercise - 1 (Objective Problems | JEE Main)
  1. The length of the tangent drawn from the point (2, 3) to the circles 2...

    Text Solution

    |

  2. Find the angle between the two tangents from the origin to the circle ...

    Text Solution

    |

  3. The point from which the tangents to the circles x^2 +y^2-8x + 40 = 0,...

    Text Solution

    |

  4. The tangent from the point of intersection of the lines 2x – 3y + 1 = ...

    Text Solution

    |

  5. The equation of the circle having the lines y^(2) – 2y + 4x – 2xy = 0 ...

    Text Solution

    |

  6. The equation of director circle to the circle x^(2) + y^(2) = 8 is

    Text Solution

    |

  7. Two perpendicular tangents to the circle x^(2) + y^(2) = a^(2) meet at...

    Text Solution

    |

  8. The locus of the mid-points of the chords of the circles x^2+ y^2-2x-...

    Text Solution

    |

  9. find the locus of mid point of chords of circle x^2 +y^2= 25 which sub...

    Text Solution

    |

  10. The equation to the chord of the circle x^(2) + y^(2) = 16 which is bi...

    Text Solution

    |

  11. The locus of the centers of the circles such that the point (2, 3) is...

    Text Solution

    |

  12. Tangents are drawn from (4, 4) to the circle x^(2) + y^(2) – 2x – 2y –...

    Text Solution

    |

  13. Pair of tangents are drawn from every point on the line 3x + 4y = 12 o...

    Text Solution

    |

  14. The equation of pair of tangents drawn from the point (0,1) to the cir...

    Text Solution

    |

  15. From the point P(16,7), tangents PQ and PR are drawn to the circle x^2...

    Text Solution

    |

  16. Equation of the circle touching the circle x^(2) + y^(2) - 15x + 5y = ...

    Text Solution

    |

  17. The number of common tangents of the circles x^(2) + y^(2) – 2x – 1 = ...

    Text Solution

    |

  18. If the circle x^(2) + y^(2) = 9 touches the circle x^(2) + y^(2) + 6y ...

    Text Solution

    |

  19. If the circumference of the circle x^(2) + y^(2) + 8x + 8y - b = 0 i...

    Text Solution

    |

  20. The distance from the center of the circle x^2+y^2=2x to the common ch...

    Text Solution

    |