Home
Class 12
MATHS
Tangents are drawn from (4, 4) to the ci...

Tangents are drawn from (4, 4) to the circle `x^(2) + y^(2) – 2x – 2y – 7 = 0` to meet the circle at A and B. The length of the chord AB is

A

`2sqrt(3)`

B

`3sqrt(2)`

C

`2sqrt(6)`

D

`6sqrt(2)`

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

Tangents are drawn from (4,4) to the circle x ^(2) + y ^(2) - 2x -7 =0 to meet the circle at A and B. The area bounded by PA, PB and circle is

If tangents are drawn from origin to the circle x^(2)+y^(2)-2x-4y+4=0, then

Length of tangent from (8,6) to the circle x^(2)+y^(2)-3x-4y+2=0

The length of the tangent drawn from any point on the circle x^(2) + y^(2) + 2gx + 2fy + a =0 to the circle x^(2) + y^(2) + 2gx + 2fy + b = 0 is

Tangents drawn from the point (4, 3) to the circle x^(2)+y^(2)-2x-4y=0 are inclined at an angle

If the pair of tangents are drawn from the point (4,5) to the circle x^(2)+y^(2)-4x-2y-11=0 , then (i) Find the length of chord of contact. (ii) Find the area of the triangle fromed by a pair of tangents and their chord of contact. (iii) Find the angle between the pair of tangents.

MOTION-CIRCLE-Exercise - 1 (Objective Problems | JEE Main)
  1. find the locus of mid point of chords of circle x^2 +y^2= 25 which sub...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. The equation of three circles are given x^2+y^2=1,x^2+y^2-8x+15=0,x^2+...

    Text Solution

    |

  14. The locus of the centers of the circles which cut the circles x^(2) + ...

    Text Solution

    |

  15. Two given circles x^(2) + y^(2) + ax + by + c = 0 and x^(2) + y^(2) + ...

    Text Solution

    |

  16. If the circles of same radius a and centers at (2, 3) and 5, 6) cut or...

    Text Solution

    |

  17. If a^2 + b^2 - 1,m^2 +n^2 =1, then

    Text Solution

    |

  18. Tangent are drawn to the circle x^2+y^2=1 at the points where it is me...

    Text Solution

    |

  19. AB is a diameter of a circle. CD is a chord parallel to AB and 2CD = A...

    Text Solution

    |

  20. (6, 0), (0, 6) and (7, 7) are the vertices of a triangle. The circle i...

    Text Solution

    |