Home
Class 12
MATHS
If the point (2,k ) lies outside the ci...

If the point `(2,k ) ` lies outside the circles `x^(2) +y^(2) =13 and x^(2) +y^(2) +x-2y -14=0 ` then

A

` K in ( -infty ,-2)uu[3 ,infty ) `

B

` K in [ -3, -2]uu [3,4 ]`

C

` K in [-3, -4] `

D

` K in ( -infty ,-3 ) uu ( 4, infty ) `

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • REVISION EXERCISE

    AAKASH SERIES|Exercise PARABOLA|50 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise ELLIPSE|55 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise STRAIGHT LINES|24 Videos

  • RANDOM VARIABLES

    AAKASH SERIES|Exercise Exercise 4.4|9 Videos

  • SEQUENCE AND SERIES

    AAKASH SERIES|Exercise Practice Exercise|71 Videos

Similar Questions

Explore conceptually related problems

The point (3,-4) lies on both the circles x^(2) + y^(2) - 2x + 8y + 13 = 0 and x^(2) + y^(2) - 4x+ 6y + 11 = 0 . Then the angle between the circles is :

The equation of the tangent at the point (0, 3) on the circle which cuts the circles x^(2)+y^(2)-2x+6y=0 , x^(2)+y^(2)-4x-2y+6=0 and x^(2)+y^(2)-12x+2y+3=0 orthogonally is

The equation of the common tangent at the point contact of the circles x^(2) + y^(2) - 10x + 2y + 10 = 0 , x^(2) + y^(2) - 4x - 6y + 12 = 0 is

The point (3,-4) lies on both the circles x^2+y^2-2x+8y+13=0 and x^2+y^2-4x+6y+11=0 . Then the angle between the circles is

Prove that the tangent at (3,-2) of the circle x^(2) + y^(2) = 13 touches the circle x^(2) + y^(2) + 2x - 10 y - 26 = 0 and find its point of contact.

The tangent to the circle x^(2)+y^(2)-4x+2y+k=0 at (1,1) is x-2y+1=0 then k=

AAKASH SERIES-REVISION EXERCISE -SYSTEM OF CIRCLES
  1. The pints of intersection of two equal circles which out orthogonally ...

    Text Solution

    |

  2. Tangents are drawn to circle x^(2) + y^(2) =12 at its points of inte...

    Text Solution

    |

  3. The polars of a point P w.r.t. two given circles meet in Q .The radica...

    Text Solution

    |

  4. The radical axis of two circles whose centres are ( 3,4), (-1,2) and e...

    Text Solution

    |

  5. If S -= x^(2) +y^(2) -2x =0, S' -= x^(2) +y^(2) +3x =0 and if overset...

    Text Solution

    |

  6. The maximum number of lines formed by the radical centres of 6 given c...

    Text Solution

    |

  7. The locus of the centres of the circles passing thorugh the points of ...

    Text Solution

    |

  8. For the circles x^(2) +y^(2) +2lambda x+ c =0 , x^(2) +y^(2) +2my - c=...

    Text Solution

    |

  9. The circles x^(2) +y^(2) + 2ax +c =0 and x^(2) +y^(2) +2bx +c =0 have...

    Text Solution

    |

  10. The circles x^(2) +y^(2) + 2ax +c =0 and x^(2) +y^(2) +2bx +c =0 have...

    Text Solution

    |

  11. The radical axis of x^(2) +y^(2) -2ax =0 and x^(2) +y^(2) -2by =0 i...

    Text Solution

    |

  12. r1, r2 are the radii of two non intersecting circles having A , B as ...

    Text Solution

    |

  13. In Delta ABC , if A= (1,2) ,B= (3,4) and AC = 3, BC= 4 , then the equ...

    Text Solution

    |

  14. A = (0,0 ) , B=( 4,0 ) ,C= ( 0,6) are the three centres of three circ...

    Text Solution

    |

  15. Circles with radii 3,4,5 are touching each other externally , If P is ...

    Text Solution

    |

  16. Three circles touch one another externally , The tangents at their poi...

    Text Solution

    |

  17. If a circle passes through the point (a,b) and cuts the circles x^(2)...

    Text Solution

    |

  18. The value of k for which the circle x^(2) + y^(2) -4x + 6y +3 =0 will...

    Text Solution

    |

  19. If the point (2,k ) lies outside the circles x^(2) +y^(2) =13 and x^...

    Text Solution

    |

  20. The midpoint of the chord intercepted by the circle x^(2) +y^(2) =16 o...

    Text Solution

    |