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 `D(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

150sq units

B

50 sq units

C

75 sq units

D

70 sq units

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2017

    WB JEE PREVIOUS YEAR PAPER|Exercise Multiple Choice Questions|75 Videos
  • QUESTION PAPER 2019

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|73 Videos

Similar Questions

Explore conceptually related problems

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

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

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)) .

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

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

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

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

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

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

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.

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2018-MULTIPLE CHOICE QUESTIONS
  1. If b(1) b(2)= 2(c(1) +c(2))and b(1), b(2), c(1), c(2) are all real num...

    Text Solution

    |

  2. The number of selection of n objects from 2n objects of which n are id...

    Text Solution

    |

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

    Text Solution

    |

  4. Let f(x) {(-2 sin x,"if " x le - (pi)/(2)),(A sin x + B," if " -(pi)/(...

    Text Solution

    |

  5. The normals to the curve y= x^(2)-x +1, drawn at the points with the a...

    Text Solution

    |

  6. The equation x log x= 3- x

    Text Solution

    |

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

    Text Solution

    |

  8. A ladder 20 ft long leans against a vertical wall. The top end slides ...

    Text Solution

    |

  9. For 0 le p le 1 and for any positive a, b, let I(p)= (a + b)^(p), J(p)...

    Text Solution

    |

  10. Let vec(alpha)= hat(i)+ hat(j) + hat(k), vec(beta) = hat(i) - hat(j)- ...

    Text Solution

    |

  11. Let vec(alpha), vec(beta), vec(gamma) be three unit vectors such that ...

    Text Solution

    |

  12. Let z(1) and z(2) be complex numbers such that z(1) ne z(2) and |z(1)|...

    Text Solution

    |

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

    Text Solution

    |

  14. The least positive integer n such that (("cos"(pi)/(4),"sin"(pi)/(4)),...

    Text Solution

    |

  15. Let rho be a relation defined on 11, the set of natural numbers, as rh...

    Text Solution

    |

  16. If the polynomial f(x)= |((1+x)^(a),(2+x)^(b),1),(1,(1+x)^(a),(2+x)^(b...

    Text Solution

    |

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

    Text Solution

    |

  18. In a third order matrix A, a(ij) denotes the elements in the i-th row ...

    Text Solution

    |

  19. The area of the triangle formed by the intersection of a line parallel...

    Text Solution

    |

  20. A hyperbola, having the transverse axis of length 2 sin theta is confo...

    Text Solution

    |