Home
Class 12
MATHS
The circle x^2+y^2-6x-10 y+k=0 does not ...

The circle `x^2+y^2-6x-10 y+k=0` does not touch or intersect the coordinate axes, and the point (1, 4) is inside the circle. Find the range of value of `kdot`

A

(0, 25)

B

(25, 39)

C

(9,25)

D

(25, 29)

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    DISHA PUBLICATION|Exercise Exercise : -1 Concept Builder (Topicwise -1)|9 Videos
  • CONIC SECTIONS

    DISHA PUBLICATION|Exercise Exercise : -1 Concept Builder (Topicwise -2)|7 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos

Similar Questions

Explore conceptually related problems

The circle x^(2)+y^(2)-6x-10y+k=0 does not touch or intersect the coordinate axes,and the point (1,4) is inside the circle.Find the range of value of k.

The circle x^(2)+y^(2)-6x-10y+lamda=0 does not touch or intersect the coordinate axes and the point (1,4) is inside the circle. Find the range of values of lamda .

The circle x^(2)+y62-6x-10y+c=0 does not touch and intersect the coordinate axes and the point (1,4) is inside the circle.find the set of values of c.

The circle x^2 + y^2 - 6x - 10y + p = 0 does not touch or intersect the axes and the point (1, 4) is inside the circle, then (A) 0 lt p lt 29 (B) 25 lt p lt 29 (C) 25 lt p lt 35 (D) none of these

If the circle x^(2)+y^(2)-4x-6y+k=0 does not touch or intersect the axes and the point (2,2) liel inside the circle,then k can lie in the interval/ntervals

Show that the circle 4x^(2)+4y^(2)-12x-12y+9=0 touches both the coordinate axes.

Show that the circle x^(2)+y^(2)-2ax-2ay+a^(2)=0 touches both the coordinate axes.

If 36x^2+36y^2-108x+120y+c=0 circle does not cut or touches the coordinate axis., : then find the range of c.

DISHA PUBLICATION-CONIC SECTIONS-Exercise-2 : Concept Applicator
  1. The circle x^2+y^2-6x-10 y+k=0 does not touch or intersect the coordin...

    Text Solution

    |

  2. A circle C1, of radius 2 touches both x-axis and y- axis. Another circ...

    Text Solution

    |

  3. The equation of tangents drawn from the origin to the circlex^2+y^2-2r...

    Text Solution

    |

  4. Let AB be a chord of the circle x^(2) +y^(2) =r^(2) subtending a right...

    Text Solution

    |

  5. The line joining (5,0) to (10cos theta,10sin theta) is divided interna...

    Text Solution

    |

  6. Four distinct points (2k,3k) , (1,0), (0,1) and (0,0) lies on a circl...

    Text Solution

    |

  7. The number of integral values of lambda for which the equation x^2+y^2...

    Text Solution

    |

  8. The cable of a uniformly loaded suspension bridge hangs in the form...

    Text Solution

    |

  9. If from any point P, tangents PT, PT' are drawn to two given circles w...

    Text Solution

    |

  10. y=2x is a chord of the circle x^2 + y^2-10x = 0, then the equation of ...

    Text Solution

    |

  11. If a!=0 and the line 2bx+3cy+4d=0 passes through the points of interse...

    Text Solution

    |

  12. Q57) If the circle x^2+y^2+2ax+cy+a=0 and x^2+y^2-3ax+dy-1=0 intersect...

    Text Solution

    |

  13. A rod AB of length 15 cm rests in between two coordinate axes in su...

    Text Solution

    |

  14. Find the area of the triangle formed by the lines joining the vertex o...

    Text Solution

    |

  15. The eccentricities of the ellipse x^(2)/alpha^(2)+y^(2)/beta^(2)=1,alp...

    Text Solution

    |

  16. The middle point of chord x+3y=2 of the conic x^(2)+xy-y^(2)=1, is

    Text Solution

    |

  17. If x^2/a^2+y^2/b^2=1(a>b) and x^2-y^2=c^2 cut at right angles, then:

    Text Solution

    |

  18. If the line x+my+am^(2)=0 touches the parabola y^(2)= 4ax then the pon...

    Text Solution

    |

  19. The equation of the conic with focus at (1,-1), directrix along x -y +...

    Text Solution

    |

  20. The equation of one of the common tangent to the parabola y^(2) = 8x a...

    Text Solution

    |

  21. If two circles (x-1)^(2)+(y-3)^(2)=r^(2) and x^(2)+y^(2)-8x+2y+8=0 int...

    Text Solution

    |