Home
Class 12
MATHS
If OA and OB are the tangent from the or...

If OA and OB are the tangent from the origin to the circle `x^(2)+y^(2)+2gx+2fy+c=0 and C` is the centre of the circle then the area of the quadrilateral OCAB is

A

`sqrt(g^(2)+f^(2)-c)`

B

`sqrt(c(g^(2)+f^(2)-c))`

C

`(sqrt(g^(2)+f^(2)-c))/c`

D

`(sqrt(g^(2)+f^(2)-c))/2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|164 Videos
  • CIRCLES

    AAKASH SERIES|Exercise EXERCISE -I|89 Videos
  • CIRCLE

    AAKASH SERIES|Exercise EXERCISE -1.4|38 Videos
  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|93 Videos

Similar Questions

Explore conceptually related problems

The pair of tangents from origin to the circle x^(2)+y^(2)+4x+2y+3=0 is

The equation of the tangents drawn from the origin to the circle x^(2)+y^(2)-2gx-2fy+f^(2)=0 is

If O is the origin OP, OQ are the tangent to the circle x^(2)+y^(2)+2gx+2fy+c=0 then the circumcentre of the triangleOPQ is

The length of the tangent from (0,0) to the circle 2x^(2)+2y^2+x-y+5=0 is

Find the pair of tangents form the origin to the circle x^(2) + y^(2) + 2gx + 2fy + c = 0 and hence deduce a condition for these tangents to be perpendicular.

If theline y=x touches the circle x^(2)+y^(2)+2gx+2fy+c=0 at P where OP=6sqrt2 then c=

AAKASH SERIES-CIRCLES-EXERCISE II
  1. If the circles (x-a)^(2)+(y-b)^(2)=r^(2), (x-b)^(2)+(y-a)^(2)=r^(2) to...

    Text Solution

    |

  2. The common tangents to the circles x^(2)+y^(2)-6x=0, x^(2)+y^(2)+2x=0 ...

    Text Solution

    |

  3. If the two circles x^(2)+y^(2)+2gz+2fy=0 and x^(2)+y^(2)+2g'x+2f'y=0 t...

    Text Solution

    |

  4. The point of contact of the circle x^(2)+y^(2)+2x+2y+1=0 and x^(2)+y^(...

    Text Solution

    |

  5. The two circles x^(2)+y^(2)=ax, x^(2)+y^(2)=c^(2) (c gt 0) touch each ...

    Text Solution

    |

  6. If the distance between the centres of two circles of radio 3,4 is 25 ...

    Text Solution

    |

  7. Lengths of common tangents of the circles x^(2)+y^(2)=6x,x^(2)+y^(2)+2...

    Text Solution

    |

  8. If (-1/3-1) is a centre of similitude for the circles x^(2)+y^(2)=1 an...

    Text Solution

    |

  9. The equation of the circle radius is 5 and which touches the circle x^...

    Text Solution

    |

  10. Locus of the centre of circle of radius 2 which rolls on out side the ...

    Text Solution

    |

  11. The locus of the centre of a circle which touches externally the circl...

    Text Solution

    |

  12. The centre of the circle passing through the points (0,0), (1,0) and t...

    Text Solution

    |

  13. A rectangle ABCD is inscribed in a circle with a diameter lying along ...

    Text Solution

    |

  14. Find the area of the triangle formed by two tangents drawn from (3,5) ...

    Text Solution

    |

  15. The area of the triangle formed by the tangent drawn at the point (-12...

    Text Solution

    |

  16. If OA and OB are the tangent from the origin to the circle x^(2)+y^(2)...

    Text Solution

    |

  17. Let AB be the chord 4x-3y+5=0 with respect to the circle x^(2)+y^(2)-2...

    Text Solution

    |

  18. Consider the circle x^(2)+y^(2)-4x-2y+c=0 whose centre is A(2, 1) If t...

    Text Solution

    |

  19. For the circle C with the equation x^(2) + y^(2) - 16x - 12y + 64 = 0 ...

    Text Solution

    |

  20. Find the length of the common chord of the circle x^2+y^2+2hx+a^2=0 an...

    Text Solution

    |