Home
Class 12
MATHS
Consider a family of circles which are p...

Consider a family of circles which are passing through the point (-1, 1) and are tangent to x-axis. If (h,k) are the co-ordinates of the centre of the circle, then the set of values of k is given by the interval :

A

`k ge 1/2`

B

`-1/2 le k le 1/2`

C

`k le 1/2`

D

`0 lt k lt 1/2`

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

Find the equation of circle passing through the points (5,3) ,(1,5) and (3,-1)

The circle passing through the point (-1,0) and touching the y-axis at (0, 2) also passes through the point:

The equation of the circle passing through the point (4, 5) and having centre at (2, 2) is :

find the equation circle which is passes through the points (4,1),(6,5) and centre lies on 4x+y=16 is

Find the centre of a circle passing through the points (6, -6), (3, -7) and (3, 3).

If a circle with the point (-1, 1) as the centre touches the line x + 2y + 9 = 0, then the co-ordinates of the point of contact are:

The equation of the circle passing through the points (1, 0) and (0, 1) and having smallest radius is :

MODERN PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -MCQs LEVEL - II
  1. The equation of the family of circles, which same radical axis, as the...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. If the pair of lines ax^2 +2 (a + b) xy + by^2 =0 lie along diameters ...

    Text Solution

    |

  12. If the lines 3x - 4y - 7 = 0 and 2x - 3y - 5 = 0 are two diameters of ...

    Text Solution

    |

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

    Text Solution

    |

  14. Let ABCD be a quadrilateral with area 18, with side AB parallel to the...

    Text Solution

    |

  15. Consider a family of circles which are passing through the point (-1, ...

    Text Solution

    |

  16. The point diametrically opposite to the point P (1, 0) on the circle x...

    Text Solution

    |

  17. If P and Q are the points of intersection of the circles x^2+y^2+3x+7y...

    Text Solution

    |

  18. If a variable circle 'C' touches the x-axis and touches the circle x^2...

    Text Solution

    |

  19. Three coins of unit radius are placed in an equilateral triangle as sh...

    Text Solution

    |

  20. Tangents drawn from the point P (1, 8) to the circle x^2+ y^2 - 6x - 4...

    Text Solution

    |