Home
Class 12
MATHS
Tangents drawn from the point P (1, 8) t...

Tangents drawn from the point P (1, 8) to the circle `x^2+ y^2 - 6x - 4y - 11 = 0` touch the circle at the points A and B. The equation of the circumcircle of the triangle PAB is:

A

`x^2+y^2 +4x-6y+19=0`

B

`x^2+y^2-4x-10y+19=0`

C

`x^2+y^2-2x+6y-29=0`

D

`x^2+y^2 -6x-4y+19=0`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CIRCLES AND SYSTEMS OF CIRCLES

    MODERN PUBLICATION|Exercise AIEEE/JEE Examination|9 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|12 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|12 Videos
  • CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Questions from Karnataka CET & COMED)|8 Videos
  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise Questions from karnataka CET & COMED|15 Videos

Similar Questions

Explore conceptually related problems

The circle x^(2) + y^(2)- 8x + 4y + 4=0 touches

The circle x^(2) + y^(2) -3x-4y + 2=0 cuts the x axis at the points

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

The length of the tangent from the point (1, -4) to the circle 2x^(2) + 2y^(2) - 3x + 7y + 9 = 0 is

The number of tangents, which can be drawn from the point (1, 2) to the circle x^2 + y^2 = 5 is :

The length of the tangent from the point (1,-4) to the circle 2x^2+2y^2-3x+7y+9=0

The length of the tangent from (5, 1) to the circle x^2+y^2+6x-4y-3=0 is :

If x = 7 touches the circle x^2 + y^2 - 4x - y - 12 =0 , then the co-ordinates of the point of contact are :

The circle x^2 + y^2 - 6x - 10y + k = 0 does not touch or intersect the x-axis and the point (1, 4) lies inside the circle, then:

The point diametrically opposite to the point P (1, 0) on the circle x^2+y^2+2x+4y-3=0 is :

MODERN PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -MCQs LEVEL - II
  1. The equation of the family of circles, which same radical axis, as the...

    Text Solution

    |

  2. If one of the circles: x^2+y^2 +2ax+c=0 and x^2+y^2 + 2bx+c=0 lies wi...

    Text Solution

    |

  3. The radius of the smallest circle, which passes through the points of ...

    Text Solution

    |

  4. The equation of the four circles are (x pm a)^2 + (y pm a)^2 = a^2. Th...

    Text Solution

    |

  5. The circles : x^2+y^2 +2g1x-a^2 =0 and x^2+y^2 +2g2x-a^2=0 cut each ot...

    Text Solution

    |

  6. If the circle x^2+y^2+2gx+2fy+c=0 bisects the circumference of the cir...

    Text Solution

    |

  7. Let AB be a chord of the circle x^2+y^2=a^2 subtending a right angle ...

    Text Solution

    |

  8. Locus of centroid of the triangle whose vertices are (a cos t, a sin t...

    Text Solution

    |

  9. If the circles x^2 + y^2 + 2ax + cy+ a = 0 and x^2 + y^2 - 3ax + dy - ...

    Text Solution

    |

  10. If a circle passes through the point (a, b) and cuts the circle x^2+y^...

    Text Solution

    |

  11. If the pair of lines ax^2 +2 (a + b) xy + by^2 =0 lie along diameters ...

    Text Solution

    |

  12. If the lines 3x - 4y - 7 = 0 and 2x - 3y - 5 = 0 are two diameters of ...

    Text Solution

    |

  13. Let 'C' be the circle with centre (0,0 ) and radius 3 units. The equat...

    Text Solution

    |

  14. Let ABCD be a quadrilateral with area 18, with side AB parallel to the...

    Text Solution

    |

  15. Consider a family of circles which are passing through the point (-1, ...

    Text Solution

    |

  16. The point diametrically opposite to the point P (1, 0) on the circle x...

    Text Solution

    |

  17. If P and Q are the points of intersection of the circles x^2+y^2+3x+7y...

    Text Solution

    |

  18. If a variable circle 'C' touches the x-axis and touches the circle x^2...

    Text Solution

    |

  19. Three coins of unit radius are placed in an equilateral triangle as sh...

    Text Solution

    |

  20. Tangents drawn from the point P (1, 8) to the circle x^2+ y^2 - 6x - 4...

    Text Solution

    |