Home
Class 12
MATHS
The tangents drawn from the origin to th...

The tangents drawn from the origin to the circle : `x^2+y^2-2gx-2fy+f^2=0` are perpendicular if:

A

`g^2+f^2=1`

B

`g^2-f^2=1`

C

`g^2-f^2=0`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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

The equations of tangents drawn from the origin to the circle x^2+y^2-2rx-2hy+h^2=0 are :

OA and OB are tangents drawn from the origin O to the circle x^2+y^2+2gx + 2fy +c=0 where c > 0, C being the centre of the circle. Then ar (quad. OACB) is:

Tangtnts drawn from the point (4,3) to the circle x^(2)+y^(2)-2 x-4 y=0 are inclined at an anglt

Find the length of the tangents drawn from the point (3,-4) to the circle 2x^(2)+2y^(2)-7x-9y-13=0 .

Length of tangent drawn from any point on the circle x^2+y^2+2gx + 2fy +c=0 to the circle : x^2+y^2+2gx+2fy+c'=0 is :

The length of the tangent drawn from any point on the circle : x^2+y^2 -4x+2y-4=0 to the circle x^2+y^2-4x+6y=0 is :

Tangents drawn from the point P (1, 8) to the circle x^2+ y^2 - 6x - 4y - 11 = 0 touch the circle at the points A and B. The equation of the circumcircle of the triangle PAB is:

The angle between the tangents from the origin to the circle (x-7)^2 +(y+1)^2=25 is :

If the length of the tangent drawn from (f, g) to the circle x^2+y^2= 6 be twice the length of the tangent drawn from the same point to the circle x^2 + y^2 + 3 (x + y) = 0 then show that g^2 +f^2 + 4g + 4f+ 2 = 0 .

The number of tangents, which can be drawn from the point (1, 2) to the circle x^2 + y^2 = 5 is :

MODERN PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -MCQs LEVEL - II
  1. The locus of the poles of the line ax + by + c = 0 w.r.t. circles whic...

    Text Solution

    |

  2. Length of tangent drawn from any point on the circle x^2+y^2+2gx + 2fy...

    Text Solution

    |

  3. The tangents drawn from the origin to the circle : x^2+y^2-2gx-2fy+f^2...

    Text Solution

    |

  4. If a circle of constant radius 3k passes through the origin and meets ...

    Text Solution

    |

  5. If the chord of contact of tangents from a point P (x1,y1) to the circ...

    Text Solution

    |

  6. The equation of a circle which has a tangent 3x + 4y = 6 and two norma...

    Text Solution

    |

  7. The tangent to x^2 + y^2= 9, which is parallel to y-axis and does not ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |