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

`(25,29)`

B

`(9,29)`

C

`(9,25)`

D

`(0,9)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS

    FIITJEE|Exercise OBJECTIVE|84 Videos
  • MATHEMATICS

    FIITJEE|Exercise ASSERTION REASONING|8 Videos
  • MATHEMATICS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|15 Videos
  • MATHEMATICAL REASONING

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-2|18 Videos
  • MATHEMATICS TIPS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|21 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.

FIITJEE-MATHEMATICS -ASSIGNMENT (SECTION(I) MCQ(SINGLE CORRECT)
  1. A line passing through the points A(1.-2) cuts the circle x^2 + y^2 - ...

    Text Solution

    |

  2. The equation of the circumcircle of an equilateral triangle is x^2+y^2...

    Text Solution

    |

  3. The circle x^2+y^2-6x-10 y+k=0 does not touch or intersect the coordin...

    Text Solution

    |

  4. The circle x^2 + y^2 - 8x - 10y + 37 = 0, after being reflected about ...

    Text Solution

    |

  5. The circles having radii r1a n dr2 intersect orthogonally. The length ...

    Text Solution

    |

  6. The equation of the normal to the circle (x - 1)^2 + (y - 2)^2 = 4 whi...

    Text Solution

    |

  7. If the equation 3x^2 + 3y^2 + 6lambdax + 2lambda = 0 represents a circ...

    Text Solution

    |

  8. The circle which can be drawn to pass through (1, 0) and (3, 0) and to...

    Text Solution

    |

  9. If (1sqrt3) be one of the vertices of an equilateral triangle in circl...

    Text Solution

    |

  10. The equation of circle touching the |y| = x at a distance sqrt2 units ...

    Text Solution

    |

  11. If the circle x^2 + y^2 + 2gx + 2fy +|sin theta| -1 = 0 passes through...

    Text Solution

    |

  12. If the line x-ay=5 is a chord of the parabola y^(2) = 20x, then the ci...

    Text Solution

    |

  13. If the focus of the parabola (y - k)^2 = 4(x - h) always lies between ...

    Text Solution

    |

  14. A line drawn through the focus (F) and parallel to tangent at P(x, y) ...

    Text Solution

    |

  15. The line x - b +lambda y = 0 cuts the parabola y^(2) = 4ax (a gt 0) at...

    Text Solution

    |

  16. If the following informations is given about a parabola, then in which...

    Text Solution

    |

  17. If the focus of a parabola is (2, 3) and its latus rectum is 8, then f...

    Text Solution

    |

  18. Find the point on the axis of the parabola 3y^2+4y-6x+8 =0 from when ...

    Text Solution

    |

  19. Find the point on the axis of the parabola 3y^2+4y-6x+8 =0 from when ...

    Text Solution

    |

  20. If from a point on the line (x -1) =0, tangents are feawn to the parab...

    Text Solution

    |