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

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`

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

Promotional Banner

Topper's Solved these Questions

  • Miscellaneous Exercises

    A DAS GUPTA|Exercise Exercise|77 Videos
  • Pair of Straight Lines and Transformation of Axes

    A DAS GUPTA|Exercise EXERCISE|22 Videos

Similar Questions

Explore conceptually related problems

The nearest point on the circle x^(2)+y^(2)-6x+4y-12=0 from (-5,4) is

The inverse of the point (1,2) with respect to circle x^(2)+y^(2)-4x-6y+9=0

Tangents are drawn from a point on the circle x^(2)+y^(2)-4x+6y-37=0 to the circle x^(2)+y^(2)-4x+6y-12=0 . The angle between the tangents, is

Tangents drawn from P(1,8) to the circle x^(2)+y^(2)-6x-4y-11=0 touches the circle at the points A and B, respectively.The radius of the circle which passes through the points of intersection of circles x^(2)+y^(2)-2x-6y+6=0 and x^(2)+y^(2)-2x-6y+6=0 the circumcircle of the and interse Delta PAB orthogonally is equal to

y-1=m_1(x-3) and y - 3 = m_2(x - 1) are two family of straight lines, at right angled to each other. The locus of their point of intersection is: (A) x^2 + y^2 - 2x - 6y + 10 = 0 (B) x^2 + y^2 - 4x - 4y +6 = 0 (C) x^2 + y^2 - 2x - 6y + 6 = 0 (D) x^2 + y^2 - 4x - by - 6 = 0

The length of the tangent from a point on the circle x^(2)+y^(2)+4x6y-12=0 to the circle x^(2)+y^(2)+4x6y+4=0 is

Find the point of contact of the tangent x+y-7=0 to the circle x^2+y^2-4x-6y+11=0

The equation of the circle which inscribes a suqre whose two diagonally opposite vertices are (4, 2) and (2, 6) respectively is : (A) x^2 + y^2 + 4x - 6y + 10 = 0 (B) x^2 + y^2 - 6x - 8y + 20 = 0 (C) x^2 + y^2 - 6x + 8y + 25 = 0 (D) x^2 + y^2 + 6x + 8y + 15 = 0

Three sides of a triangle are represented by lines whose combined equation is (2x+y-4) (xy-4x-2y+8) = 0 , then the equation of its circumcircle will be : (A) x^2 + y^2 - 2x - 4y = 0 (B) x^2 + y^2 + 2x + 4y = 0 (C) x^2 + y^2 - 2x + 4y = 0 (D) x^2 + y^2 + 2x - 4y = 0

A DAS GUPTA-Objective Tests-Exercise
  1. Let z=costheta+isintheta. Then the value of sum(m->1-15)Img(z^(2m-1...

    Text Solution

    |

  2. The locus of the orthocentre of the triangle formed by the lines (1+p)...

    Text Solution

    |

  3. Tangents drawn from the point P(1, 8) to the circle x^2+ y^2-6x-4y-11=...

    Text Solution

    |

  4. The normal at a point P on the ellipse x^2+4y^2=16 meets the x-axis at...

    Text Solution

    |

  5. The line passing through the extremity A of the major exis and extremi...

    Text Solution

    |

  6. 36. If vec a, vec b,vec c and vec d are unit vectors such that (vec a ...

    Text Solution

    |

  7. A line with positive direction cosines passes through the point P(2, –...

    Text Solution

    |

  8. If P (3,2,6) is a point in space and Q be a point on the line vecr = (...

    Text Solution

    |

  9. Let f be a non-negative function defined on the interval [0,1]dot If i...

    Text Solution

    |

  10. यदि (sin^(4)x)/2 + (cos^(4)x)/3 = 1/5 ,तब

    Text Solution

    |

  11. for 0ltthetaltpi/2 the solution(s) of sum(m=1)^6c o s e c(theta+((m-...

    Text Solution

    |

  12. In a triangle ABC with fixed base BC, the vertex A moves such that cos...

    Text Solution

    |

  13. The tangent PT and the normal PN to the parabola y^2=4ax at a point P...

    Text Solution

    |

  14. An ellipse intersects the hyperbola 2x^(2)-2y^(2)=1 orthogonally. The ...

    Text Solution

    |

  15. Let L = lim(x rarr 0) ( a - sqrt( a^2 - x^2) - x^2/4)/x^4, a>0.If L is...

    Text Solution

    |

  16. For the function f(x)=x "cos" 1/x, x ge1

    Text Solution

    |

  17. If In=int(-pi)^(pi) \ (sinnx)/((1+pi^x) \ sinx) \ dx, n=0,1,2,...... t...

    Text Solution

    |

  18. The area of the region bounded by the curve y=e^(x) and lines x=0 and ...

    Text Solution

    |

  19. Q. Let p and q real number such that p!= 0,p^2!=q and p^2!=-q. if alph...

    Text Solution

    |

  20. Let S={1,,2,34} . The total number of unordered pairs of disjoint s...

    Text Solution

    |