Home
Class 12
MATHS
The condition that the line (x + g) cos ...

The condition that the line (x + g) cos `theta` + ( y +f ) sin `theta` = k is a tangent to `x^2+y^2 +2gx +2fy +c=0` :

A

`g^(2)+f^(2)=c^(2)+k`

B

`g^(2)+f^(2)=c+k`

C

`g^(2)+f^(2)=c+k^(2)`

D

`g^(2)+f^(2)=c^(2)+k^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|200 Videos
  • COMMON ENTRANCE TEST - 2014

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

Similar Questions

Explore conceptually related problems

x = a cos theta, y = b sin theta .

The centre of the circle x = 2 + 3 cos theta y = 3 sin theta -1 is ...

The condition for the line L x+m y+n=0 to be a tangent for x^(2)=y is

The locus of the centre of the circle : x^2+y^2+4x cos theta - 2 y sin theta - 10 = 0 is ,

x = cos theta - cos 2 theta, y = sin theta - sin 2 theta . then find dy/dx

The slope of the nomal to the curve x = a(theta - sin theta), y = a(1-cos theta) at theta = pi/2 is

If x = a (cos x + log tan theta/2) and y = a sin theta then dy/dx is equal to

If int_0^(pi/2) (d theta)/(9 sin^(2) theta + 4 cos^(2) theta) = k pi , then k =

If p and q are the lengths of perpendicular from the origin to the lines x cos theta-y sin theta=k cos 2theta and x sec theta+y "cosec" theta=k respectively, prove that p^(2)+4q^(2)=k^(2) .

If x = theta cos theta + sin theta, y = cos theta- theta sin theta , then dy/dx at theta = pi/2

HIMALAYA PUBLICATION-CIRCLES-QUESTION BANK
  1. Locus of a moving point such that tangents from it to the two circles ...

    Text Solution

    |

  2. Angle between a pair of tangents drawn from a point P to the circle x^...

    Text Solution

    |

  3. The condition that the line (x + g) cos theta + ( y +f ) sin theta = ...

    Text Solution

    |

  4. The chord of contact of tangents drawn from any point on the circle x^...

    Text Solution

    |

  5. The chord of contact of tangents drawn from any point on the circle x^...

    Text Solution

    |

  6. If x=7 tonches the circle x^(2)+y^(2)-4 x-6 y-12=0 then the point o...

    Text Solution

    |

  7. The length of the chord joining the points (4 cos theta, 4 sin theta) ...

    Text Solution

    |

  8. The angle between the tangents from the origin to the circle (x-7)^2 +...

    Text Solution

    |

  9. The equation of the circle having radius 3 and touching the circle x^(...

    Text Solution

    |

  10. The Locus of the centre of the circle of radius 3, which rolls on the ...

    Text Solution

    |

  11. The locus of the mid-points of chords of the circle x^2+y^2 =4, which ...

    Text Solution

    |

  12. Let 'C' be the circle with centre (0,0 ) and radius 3 units. The equat...

    Text Solution

    |

  13. If the line y=m x is outside the circle x^(2)+y^(2)-20 y+90=0 then

    Text Solution

    |

  14. The number of tangtnts from (1,2) to the circle x^(2)+y^(2)-2 x-4 y+4...

    Text Solution

    |

  15. A square in inscribed in the circle x^(2)+y^(2)-2 x+4 y-3=0 . Its sid...

    Text Solution

    |

  16. The circles x^(2)+y^(2)+6 x+k=0 and x^(2)+y^(2)+8 y-20=0 touch each o...

    Text Solution

    |

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

    Text Solution

    |

  18. The points (1,0),(0,1),(0,0) and (2k,3k),k!=0 are concyclic if k =

    Text Solution

    |

  19. From any point on the circle x^(2)+y^(2)=a^(2), tangtnts are drawn to...

    Text Solution

    |

  20. Angle between tangents drawn from a point on the director circle x^(2...

    Text Solution

    |