Home
Class 12
MATHS
Consider the circles x^2+(y-1)^2=9,(x-1)...

Consider the circles `x^2+(y-1)^2=9,(x-1)^2+y^2=25.` They are such that these circles touch each other one of these circles lies entirely inside the other each of these circles lies outside the other they intersect at two points.

A

these circles touch each other

B

one of these circles lies entirely inside the other

C

each of these circles lies outside the other

D

they intersect in two points

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THE CIRCLE

    ML KHANNA|Exercise Problem Set (4) (TRUE AND FALSE) |4 Videos

  • THE CIRCLE

    ML KHANNA|Exercise Problem Set (4) (FILL IN THE BLANKS) |1 Videos

  • THE CIRCLE

    ML KHANNA|Exercise Problem Set (3) (FILL IN THE BLANKS) |11 Videos

  • TANGENTS AND NORMALS

    ML KHANNA|Exercise SELF ASSESSMENT TEST (MULTIPLE CHOICE QUESTIONS)|19 Videos

  • THE ELLIPSE

    ML KHANNA|Exercise SELF ASSESSMENT TEST|9 Videos

Similar Questions

Explore conceptually related problems

The two circles touch each other if

Prove that x^2+y^2=a^2 and (x-2a)^2+y^2=a^2 are two equal circles touching each other.

The line 2x-y+1=0 is tangent to the circle at the point (2,5) and the centre of the circles lies on x-2y=4 The radius of the circle is:

The line 2x-y+1=0 is tangent to the circle at the point (2,5) and the centre of the circles lies on x-2y=4. The radius of the circle is

The line 2x-y+1=0 is tangent to the circle at the point (2,5) and the centre of the circles lies on x-2y=4. The radius of the circle is :

Two circles touch each other internally.Their radii are 2cm and 3cm.The biggest chord of the greater circle which is outside the inner circle is of length.

Prove that the circle x^2 + y^2 =a^2 and (x-2a)^2 + y^2 = a^2 are equal and touch each other. Also find the equation of a circle (or circles) of equal radius touching both the circles.

ML KHANNA-THE CIRCLE -Problem Set (4) (MULTIPLE CHOICE QUESTIONS)
  1. Show that the circles x^2+y^2-10 x+4y-20=0 and x^2+y^2+14 x-6y+22=0 to...

    Text Solution

    |

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

    Text Solution

    |

  3. Consider the circles x^2+(y-1)^2=9,(x-1)^2+y^2=25. They are such that ...

    Text Solution

    |

  4. Two circles x^(2) + y^(2) - 2x - 4y = 0 and x^(2) + y^(2) - 8y...

    Text Solution

    |

  5. The circle S(1)(a(1),b(1)), r(1) touches externally the circles S(2) ...

    Text Solution

    |

  6. The circles x^(2)+y^(2)-4x+6y+8=0 and x^(2)+y^(2)-10x-6y+14=0

    Text Solution

    |

  7. Equation of a circle with centre (4,3) touching the circle x^(2)+y^(2)...

    Text Solution

    |

  8. Centre of the circle whose radius is 3 and which touches internally th...

    Text Solution

    |

  9. Equation of the circle touching the circle x^(2) + y^(2) -15x + 5y =0 ...

    Text Solution

    |

  10. If the circles (x-a)^(2)+(y-b)^(2)=c^(2) and (x-b)^(2)+(y-a)^(2)=c^(2)...

    Text Solution

    |

  11. The locus of centre of the circle which touches the circle x^(2)+(y-1)...

    Text Solution

    |

  12. The circle x^(2)+y^(2)-2ax+c^(2)=0 and x^(2)+y^(2)-2by+c^(2)=0 will ...

    Text Solution

    |

  13. The circles x^(2)+y^(2)+2x-2y+1=0 and x^(2)+y^(2)-2x-2y+1=0 touch each...

    Text Solution

    |

  14. Given the equation of two circles x^(2)+y^(2)=r^(2) and x^(2) +y^(2) ...

    Text Solution

    |

  15. If the two circles x^(2) + y^(2) =4 and x^(2) +y^(2) - 24x - 10y +a^(2...

    Text Solution

    |

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

    Text Solution

    |

  17. The number of common tangents to the circles x^(2)+y^(2)+2x+8y-23=0...

    Text Solution

    |

  18. The number of common tangents to the circles x^(2)+y^(2) -x=0, x^(2)+...

    Text Solution

    |

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

    Text Solution

    |

  20. The number of common tangents of the circles x^(2) +y^(2) =16 and x^(2...

    Text Solution

    |