Home
Class 12
MATHS
For the two circles x^2+y^2=16 and x^2+y...

For the two circles `x^2+y^2=16` and `x^2+y^2-2y=0` there are

A

one pair of common tangents

B

two pairs of common tangents

C

three common tangents

D

no common tangent

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|17 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS )|16 Videos
  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B - ARCHITECTURE (ENTRANCE EXAMINATION PAPERS)|14 Videos
  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPER|17 Videos

Similar Questions

Explore conceptually related problems

For the two circles x^(2)+y^(2)=16 and x^(2)+y^(2)-2y=0, there is/are

The number of common tangents of the circles x^(2) +y^(2) =16 and x^(2) +y^(2) -2y = 0 is :

Locus of centres of the circles which touch the two circles x^(2)+y^(2)=16 and x^(2)+y^(2)=16x externally is

If a variable circle cuts two circles x^(2)+y^(2)=1 and x^(2)+y^(2)-2x-2y-7=0 orthogonally than loucs of centre of variable circle is

The two circles x^(2)+y^(2)-5=0 and x^(2)+y^(2)-2x-4y-15=0

MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. The circle x^2+y^2-6x-10 y+k=0 does not touch or intersect the coordin...

    Text Solution

    |

  2. The set of all real values of lambda for which exactly two common tang...

    Text Solution

    |

  3. For the two circles x^2+y^2=16 and x^2+y^2-2y=0 there are

    Text Solution

    |

  4. The equation of the circle described on the chord 3x + y + 5 =0 of the...

    Text Solution

    |

  5. The number of common tangents to the circles x^(2)+y^(2)-4x-6y-12=0 a...

    Text Solution

    |

  6. If the incentre of an equilateral triangle is (1,1) and the equation o...

    Text Solution

    |

  7. If a circle passing through the point (-1, 0) touches y-axis at (0, 2)...

    Text Solution

    |

  8. If y+3x =0 is the equation of a chord of the circle, x^2 + y^2-30x = 0...

    Text Solution

    |

  9. The centres of those circles which touch the circle, x^2+y^2-8x-8y-4=0...

    Text Solution

    |

  10. If one of the diameters of the circle, given by the equation x ^(2) + ...

    Text Solution

    |

  11. A circle passes through (-2, 4) and touches y-axis at (0, 2). Which on...

    Text Solution

    |

  12. Equation of the tangent to the circle at the point (1, -1) whose centr...

    Text Solution

    |

  13. If a point P has co-ordinates (0, -2) and Q is any point on the circle...

    Text Solution

    |

  14. If two parallel chords of a circle, having diameter 4 units, lie on th...

    Text Solution

    |

  15. A line is drawn through the point P(3,11) to cut the circle x^(2)+y^(2...

    Text Solution

    |

  16. The radius of a circle, having minimum area, which touches the curve y...

    Text Solution

    |

  17. IF the tangent at (1,7) to the curve x ^(2) = y-6 touches the circle ...

    Text Solution

    |

  18. A circle passes through the points ( 2,3) and ( 4,5) . If its centre ...

    Text Solution

    |

  19. A square is incribed in a circle x^2+y^2-6x+8y-103=0 such that its sid...

    Text Solution

    |

  20. Let C (1) and C (2) be the centres of the circles x ^(2) + y ^(2) - 2x...

    Text Solution

    |