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

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

A

150 sq units

B

50 sq units

C

75 sq units

D

70 sq units

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise HS (XI) AND WBJEE 2019 (HS (XI) 2019) (GROUP -A)|10 Videos
  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise HS (XI) AND WBJEE 2019 (HS (XI) 2019) (GROUP -B)|14 Videos
  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise HS (XI) AND WBJEE 2018 (GROUP - D)|9 Videos
  • METHOD OF SUBSTITUTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos
  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos

Similar Questions

Explore conceptually related problems

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

Two tangents to the circle x^(2)+y^(2)=4 at the points A and B meet at M(-4, 0). The area of the quadrilateral MAOB, where O is the origin 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.

The common tangents to the circle x^(2)+y^(2)=2 and the parabola y^(2)=8x touch the circle at the points P, Q and the parabola at the points R, S. Then the area of the quadrilateral PQSR is

Find the centre and radius of the circle x^(2) + y^(2) - 4x + 2y - 20 = 0 . Find also the point on the circle which is nearest to (2, (3)/(2)) .

Consider the circle x^2 + y^2 - 10x - 6y + 30 = 0 Let O be the centre of the circle and tangent at A(7, 3) and passing through A and B,then

Find the centre and the radius of the circle. 2x^2+2y^2-4x+8y-4=0

The coordinates of the centre of the circle 2x^(2)+2y^(2) + ax + by + c= 0 are (3, - 4), find a and b.

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

If the line a x+b y=2 is a normal to the circle x^2+y^2-4x-4y=0 and a tangent to the circle x^2+y^2=1 , then a and b are

CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-WBJEE 2018
  1. If sin6theta+sin4theta+sin2theta=0, then general value of theta is

    Text Solution

    |

  2. Without changing the direction of the axes, the origin is transferred ...

    Text Solution

    |

  3. The point Q is the image of the point P(1,5) about the line y=x and R ...

    Text Solution

    |

  4. The angular points of a triangle are A(-1,-7),B(5,1)andC(1,4). The equ...

    Text Solution

    |

  5. If one of the diameters of the circle, given by the equation x^(2)+y^(...

    Text Solution

    |

  6. A chord AB is drawn from the point A(0,3) on the circle x^(2)+4x+(y-3)...

    Text Solution

    |

  7. Let the eccentricity of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))...

    Text Solution

    |

  8. Let A, B be two distinct points on the parabola y^(2)=4x. If the axis ...

    Text Solution

    |

  9. Let P(at^(2),2at),Q,R(ar^(2),2ar) be three points on a parabola y^(2)=...

    Text Solution

    |

  10. Let P be a point on the ellipse (x^(2))/(9)+(y^(2))/(4)=1 and the line...

    Text Solution

    |

  11. Let z(1)andz(2) be complex numbers such that z(1)nez(2)and|z(1)|=|z(2)...

    Text Solution

    |

  12. From a collection of 20 consecutive natural numbers, four are selected...

    Text Solution

    |

  13. A line cuts the x-axis at A(5,0) and the y-axis at B(0,-3). A variable...

    Text Solution

    |

  14. Let A be the centre of the circle x^(2)+y^(2)-2x-4y-20=0. Let B(1,7) a...

    Text Solution

    |

  15. Consider the parabola y^(2)=4x. Let P and Q be points on the parabola ...

    Text Solution

    |

  16. If the equation x^(2)-cx+d=0 has roots equal to the fourth powers of t...

    Text Solution

    |

  17. On the occasion of Dipawali festival each student of a class sends gre...

    Text Solution

    |

  18. The area of the triangle formed by the intersectionf of a line paralla...

    Text Solution

    |

  19. A hyperbola, having the transverse axis of length 2sintheta is confoca...

    Text Solution

    |

  20. Consider the function y=log(a)(x+sqrt(x^(2)+1)),agt0,ane1. The inverse...

    Text Solution

    |