Home
Class 12
MATHS
Length of tangent drawn from any point o...

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 :

A

`sqrt(c'-c)`

B

`sqrt(c-c')`

C

`sqrt(c c')`

D

`sqrt(c/ (c'))`

Text Solution

Verified by Experts

The correct Answer is:
A
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

Show that the length of the tangent from anypoint on the circle : x^2 + y^2 + 2gx+2fy+c=0 to the circle x^2+y^2+2gx+2fy+c_1 = 0 is sqrt(c_1 -c) .

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 :

The chord of contact of tangents drawn from any point on the circle x^2+y^2=a^2 to the circle x^2 + y^2 = b^2 touches the circle x^2 + y^2 =c^2 . Then a, b, c are in:

Angle between tangents drawn from a point on the director circle x^(2)+y^(2)=100 to the circle x^(2)+y^(2)=50 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 equations of tangents drawn from the origin to the circle x^2+y^2-2rx-2hy+h^2=0 are :

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

If the length of the tangent from any point on the circle (x-3)^(2)+(y+2)^(2)=5r^(2) to the circle (x-3)^(2)+(y+2)^(2)=r^(2) is 4 units, then the area between the two circles in sq. units is

The length of the tangent from the point (1,-4) to the circle 2x^2+2y^2-3x+7y+9=0

The length of the tangent from (5, 1) to the circle x^2+y^2+6x-4y-3=0 is :

MODERN PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -MCQs LEVEL - II
  1. If the polar of a point P w.r.t. the circle x^2+y^2=a^2 touches the c...

    Text Solution

    |

  2. The locus of the poles of the line ax + by + c = 0 w.r.t. circles whic...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |