Home
Class 12
MATHS
The circle x^2 + y^2 - 6x - 10y + k = 0 ...

The circle `x^2 + y^2 - 6x - 10y + k = 0` does not touch or intersect the x-axis and the point (1, 4) lies inside the circle, then:

A

`25 lt k lt 29`

B

`9 lt k lt 25`

C

`9 lt k lt 29`

D

None of these.

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

The circle x^(2) + y^(2)- 8x + 4y + 4=0 touches

The circle x^(2) + y^(2) -3x-4y + 2=0 cuts the x axis at the points

Tangents drawn from the point P (1, 8) to the circle x^2+ y^2 - 6x - 4y - 11 = 0 touch the circle at the points A and B. The equation of the circumcircle of the triangle PAB is:

The circle x^2 + y^2+ 4x-7y + 12 = 0 cuts an intercept on y-axis equal to

The tangent to the circle x^2 + y^2 = 9, which is parallel to y-axis and does not lie in the third quadrant, touches the circle at the point:

If x = 7 touches the circle x^2 + y^2 - 4x - y - 12 =0 , then the co-ordinates of the point of contact are :

The circleS x^(2)+y^(2)-10 x+16=0 and x^(2)+y^(2)=r^(2) intersect each other in distinct points, if

The circles x^2+y^2-12x-12y=0 and x^2+y^2+6x+6y=0 :

If the tangent at a point P on the circle x^2 + y^2 + 6x + 6y = 2 , meets the straight line 5x- 2y + 6 = 0 at a point Q on the y-axis, then the length of PQ is:

MODERN PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -MCQs LEVEL - II
  1. The equation of a circle which has a tangent 3x + 4y = 6 and two norma...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. The circles : x^2+y^2 +2g1x-a^2 =0 and x^2+y^2 +2g2x-a^2=0 cut each ot...

    Text Solution

    |

  16. If the circle x^2+y^2+2gx+2fy+c=0 bisects the circumference of the cir...

    Text Solution

    |

  17. Let AB be a chord of the circle x^2+y^2=a^2 subtending a right angle ...

    Text Solution

    |

  18. Locus of centroid of the triangle whose vertices are (a cos t, a sin t...

    Text Solution

    |

  19. If the circles x^2 + y^2 + 2ax + cy+ a = 0 and x^2 + y^2 - 3ax + dy - ...

    Text Solution

    |

  20. If a circle passes through the point (a, b) and cuts the circle x^2+y^...

    Text Solution

    |