Home
Class 12
MATHS
Two tangents to the circle x^2 +y^2=4 at...

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

A

4

B

`6sqrt(2)`

C

`4sqrt(3)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    OBJECTIVE RD SHARMA|Exercise Exercise|132 Videos

  • CARTESIAN PRODUCT OF SETS AND RELATIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|31 Videos

  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|59 Videos

Similar Questions

Explore conceptually related problems

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.

Two perpendicular tangents to the circle x^(2) + y^(2) = a^(2) meet at P. Then the locus of P has the equation

From the point P(sqrt(2),sqrt(6)), tangents PA and PB are drawn to the circle x^(2)+y^(2)=4 Statement 1: The area of quadrilateral OAPB (O being the origin) is 4. Statement 2: The area of square is a^(2), where a is the length of side.

From a point P on the line 2x y 4 which is nearest to the circle x2 ty 12y35 tangents are drawn to give circle.The area of quadrilateral PACB (where 'C' is the center of circle and PA & PB re the tangents.) is

Two perpendicular tangents to the circle x^(2)+y^(2)=a^(2) meet at P. Then the locus of P has the equation

The point of intersetion of the tangents to the parabola y^(2)=4x at the points where the circle (x-3)^(2)+y^(2)=9 meets the parabola, other than the origin,is

The tangent at the point (alpha, beta) to the circle x^2 + y^2 = r^2 cuts the axes of coordinates in A and B . Prove that the area of the triangle OAB is a/2 r^4/|alphabeta|, O being the origin.

Let A be the centre of the circle x^(2)+y^(2)-2x-4y-20=0 .The tangents at the points B(1,7) and C(4,-2) on the circle meet at the point D .If Delta denotes the area of the quadrilateral ABCD,then (Delta)/(25) is equal to

OBJECTIVE RD SHARMA-CIRCLES-Chapter Test
  1. If 3x+y=0 is a tangent to a circle whose center is (2,-1) , then find ...

    Text Solution

    |

  2. Locus of the middle points of chords of the circle x^2 + y^2 = 16 whic...

    Text Solution

    |

  3. Two tangents to the circle x^2 +y^2=4 at the points A and B meet at P(...

    Text Solution

    |

  4. A tangent is drawn to the circle 2(x^(2)+y^(2))-3x+4y=0 and it touch...

    Text Solution

    |

  5. the length of the chord of the circle x^(2)+y^(2)=25 passing through ...

    Text Solution

    |

  6. If the points A(2, 5) and B are symmetrical about the tangent to the c...

    Text Solution

    |

  7. The equation of the circle of radius 2sqrt(2) whose centre lies on the...

    Text Solution

    |

  8. Prove that the maximum number of points with rational coordinates on a...

    Text Solution

    |

  9. The equation of a circle C is x^(2)+y^(2)-6x-8y-11=0. The number of re...

    Text Solution

    |

  10. Two circles, each of radius 5, have a common tangent at (1, 1) whose e...

    Text Solution

    |

  11. The number of points on the circle 2(x^(2)+y^(2))=3x which are at a di...

    Text Solution

    |

  12. A ray of light incident at the point (-2, -1) gets reflected from the ...

    Text Solution

    |

  13. The point on the straight line y = 2x + 11 which is nearest to the cir...

    Text Solution

    |

  14. Extremities of a diagonal of a rectangle are (0, 0) and (4, 3). The eq...

    Text Solution

    |

  15. The equation of the circle which has a tangent 2x-y-1=0 at (3, 5) on i...

    Text Solution

    |

  16. The angle of intersection of the circles x^(2)+y^(2)=4 and x^(2)+y^(2...

    Text Solution

    |

  17. The normal at the point (3, 4) on a circle cuts the circle at the poin...

    Text Solution

    |

  18. The inverse point of (1, -1) with respect to x^(2)+y^(2)=4, is

    Text Solution

    |

  19. A variable circle passes through the fixed point (2, 0) and touches y-...

    Text Solution

    |

  20. The radius of the circle r^(2)-2sqrt(2r) (cos theta + sin theta)-5=0, ...

    Text Solution

    |