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

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

A

4

B

`4sqrt3`

C

`6sqrt2`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CIRCLES AND SYSTEMS OF CIRCLES

    MODERN PUBLICATION|Exercise AIEEE/JEE Examination|9 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|12 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|12 Videos
  • CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Questions from Karnataka CET & COMED)|8 Videos
  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise Questions from karnataka CET & COMED|15 Videos

Similar Questions

Explore conceptually related problems

Two tangents drawn from P(7,1) to the circle x^(2)+y^(2)=25 touches the circle at Q and R . The area of the quadrilateral P Q O R is

The tangent to the curve y = e^(2x) at the point (0,1) meets x-axis at

A tangent is drawn to the circle 2x^(2) + 2y^(2) -3x + 4y = 0 at the point 'A' and it meets the line x+y=3 at B(2,1) then AB=

If P be the point (2,6,3) then the equation of the plane through P at right angle to OP, O being the origin is

The line passing through the extremity A of the major axis and extremity B of the minor axis of the ellipse x^(2)+9 y^(2)=9 meets the auxiliary circle at the point M. Then the area of the triangle with vertices A, M and the origin O is

If the tangent to the ellipse x^2 +4y^2=16 at the point is normal to the circle x^2 +y^2-8x-4y=0 then theta is equal to

A tangent to the circle x^2 + y^2 = 1 through the point (0, 5) cuts the centre x^2 + y^2 = 4 at P and Q. The tangents to the circle x^2 + y^2 = 4 at P and Q meet at R. Then the co-ordinates of R are :

The area of the circle x^(2)+y^(2)-2 x+4 y-4=0 is

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

MODERN PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -MCQs LEVEL - II
  1. The tangent to x^2 + y^2= 9, which is parallel to y-axis and does not ...

    Text Solution

    |

  2. The circle x^2 + y^2 - 6x - 10y + k = 0 does not touch or intersect th...

    Text Solution

    |

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

    Text Solution

    |

  4. If the radical axis of the circles x^2+y^2+2gx+2fy+c=0 and 2x^2+2y^2+3...

    Text Solution

    |

  5. The equation of the circle having its centre on the line x +2y - 3 = 0...

    Text Solution

    |

  6. The number of common tangents to the circles x^(2) + y^(2) = 4 and x^(...

    Text Solution

    |

  7. Number of common tangents to the circles : x^2+y^2 -6x-14y+48=0 and x^...

    Text Solution

    |

  8. The locus of the centre of a circle which cuts orthogonally the circle...

    Text Solution

    |

  9. Co-ordinates of radical centre of the circles : x^2+y^2 = 9 , x^2+y^2 ...

    Text Solution

    |

  10. The equation of the family of circles, which same radical axis, as the...

    Text Solution

    |

  11. If one of the circles: x^2+y^2 +2ax+c=0 and x^2+y^2 + 2bx+c=0 lies wi...

    Text Solution

    |

  12. The radius of the smallest circle, which passes through the points of ...

    Text Solution

    |

  13. The equation of the four circles are (x pm a)^2 + (y pm a)^2 = a^2. Th...

    Text Solution

    |

  14. The circles : x^2+y^2 +2g1x-a^2 =0 and x^2+y^2 +2g2x-a^2=0 cut each ot...

    Text Solution

    |

  15. If the circle x^2+y^2+2gx+2fy+c=0 bisects the circumference of the cir...

    Text Solution

    |

  16. Let AB be a chord of the circle x^2+y^2=a^2 subtending a right angle ...

    Text Solution

    |

  17. Locus of centroid of the triangle whose vertices are (a cos t, a sin t...

    Text Solution

    |

  18. If the circles x^2 + y^2 + 2ax + cy+ a = 0 and x^2 + y^2 - 3ax + dy - ...

    Text Solution

    |

  19. If a circle passes through the point (a, b) and cuts the circle x^2+y^...

    Text Solution

    |

  20. If the pair of lines ax^2 +2 (a + b) xy + by^2 =0 lie along diameters ...

    Text Solution

    |