Home
Class 12
MATHS
Let A be the centre of the circle x^2+y^...

Let A be the centre of the circle `x^2+y^2-2x-4y-20=0` Suppose that the tangents at the points B(1,7) and D(4,-2) on the circle meet at the point C. Find the area of the quadrilateral ABCD

Text Solution

Verified by Experts

The correct Answer is:
75 sq units
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    VMC MODULES ENGLISH|Exercise JEE MAIN ( ARCHIVE )|29 Videos

  • BINOMIAL THEOREM

    VMC MODULES ENGLISH|Exercise JEE Archive|56 Videos

  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|76 Videos

Similar Questions

Explore conceptually related problems

Let A be the centre of the circle x^(2)+y^(2)-2x-4y-20=0 . If the tangents at the points B (1, 7) and D(4, -2) on the circle meet at the point C, then the perimeter of the quadrilateral ABCD is

At what points on the circle x^2+y^2-2x-4y+1=0 , the tangent is parallel to the x-axis.

Find the points on the circle x^2+y^2-2x+4y-20=0 which are the farthest and nearest to the point (-5,6)dot

At what point on the circle x^2+y^2-2x-4y+1=0, the tangent is parallel to x-axis.

To the circle x^(2)+y^(2)+8x-4y+4=0 tangent at the point theta=(pi)/4 is

From a point P on the normal y=x+c of the circle x^2+y^2-2x-4y+5-lambda^2-0, two tangents are drawn to the same circle touching it at point Ba n dC . If the area of quadrilateral O B P C (where O is the center of the circle) is 36 sq. units, find the possible values of lambdadot It is given that point P is at distance |lambda|(sqrt(2)-1) from the circle.

Find the point of intersection of the circle x^2+y^2-3x-4y+2=0 with the x-axis.

The line 2x-y+1=0 is tangent to the circle at the point (2, 5) and the center of the circle lies on x-2y=4 . Then find the radius of the circle.

Find the equation of the two tangents from the point (0, 1 ) to the circle x^2 + y^2-2x + 4y = 0

The line 5x - y = 3 is a tangent to a circle at the point (2, 7) and its centre is on theline x + 2y = 19 . Find the equation of the circle.

VMC MODULES ENGLISH-CIRCLES-JEE ADVANCED ( ARCHIVE )
  1. The equation of the tangents drawn from the origin to the circle x^(2)...

    Text Solution

    |

  2. Consider: L1:2x+3y+p-3=0 L2:2x+3y+p+3=0 where p is a real number and...

    Text Solution

    |

  3. The chords of contact of the pair of tangents drawn from each point on...

    Text Solution

    |

  4. Find the locus of mid-points of the chords of the circle 4x^(2)+4y^(2)...

    Text Solution

    |

  5. Find the area of the triangle formed by the tangents from the point (4...

    Text Solution

    |

  6. about to only mathematics

    Text Solution

    |

  7. about to only mathematics

    Text Solution

    |

  8. 8 TePR2 p? 4x- 2) 11 = 0 be a circle. A pall or tangents from the poin...

    Text Solution

    |

  9. From the origin, chords are drawn to the circle (x-1)^2 + y^2 = 1. The...

    Text Solution

    |

  10. about to only mathematics

    Text Solution

    |

  11. about to only mathematics

    Text Solution

    |

  12. C(1) and C(2) are two concentric circles, the radius of C(2) being tw...

    Text Solution

    |

  13. Find the intervals of the values of a for which the line y+x=0 bisects...

    Text Solution

    |

  14. Let a circle be given by 2x(x-1)+y(2y-b)=0,(a!=0,b!=0) . Find the cond...

    Text Solution

    |

  15. Lines 5x + 12y - 10 = 0 and 5x - 12y - 40 = 0 touch a circle C1 of dia...

    Text Solution

    |

  16. Through a fixed point (h,k), secant are drawn to the circle x^(2)+y^(2...

    Text Solution

    |

  17. Let A be the centre of the circle x^2+y^2-2x-4y-20=0 Suppose that the ...

    Text Solution

    |

  18. Two parallel chords of a circle of radius 2 are at a distance. sqrt(3+...

    Text Solution

    |

  19. A line y=mx+1 meets the circle (x-3)^(2)+(y+2)^(2)=25 at point P and Q...

    Text Solution

    |

  20. let the point B be the reflection of the point A(2,3) with respect to ...

    Text Solution

    |