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 point

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|53 Videos

  • CIRCLES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|12 Videos

  • CARTESIAN PRODUCT OF SETS AND RELATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 Videos

Similar Questions

Explore conceptually related problems

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

inside the circles x^2+y^2=1 there are three circles of equal radius a tangent to each other and to s the value of a equals to

Consider four circles (x+-1)^2+(y+-1)^2=1 . Find the equation of the smaller circle touching these four circles.

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.

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.

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

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 :

If the line 2x-y+1=0 touches the circle at the point (2,5) and the centre of the circle lies in the line x+y-9=0. Find the equation of the circle.

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

The line 2x-y+1=0 touches a circle at the point (2, 5) and the centre of the circle lies on x-2y=4 . The diameter (in units) of the circle is

OBJECTIVE RD SHARMA ENGLISH-CIRCLES-Exercise
  1. A circle passes through the origin and has its center on y=x If it cut...

    Text Solution

    |

  2. The number of common tangents to the circles x^2+y^2-x = 0 and x^2 + ...

    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. A circle touches the x-axis and also touches the circle with center (0...

    Text Solution

    |

  5. The circles x^(2)+y^(2)-4x-6y-12=0 and x^(2)+y^(2)+4x+6y+4=0

    Text Solution

    |

  6. Write the equation of the unit circle concentric with x^2+y^2-8x+4y-8=...

    Text Solution

    |

  7. The point (sintheta, costheta). theta being any real number, die insid...

    Text Solution

    |

  8. The range of values of theta in [0, 2pi] for which (1+ cos theta, sin ...

    Text Solution

    |

  9. The range of values of a for which the point (a, 4) is outside the cir...

    Text Solution

    |

  10. about to only mathematics

    Text Solution

    |

  11. If the point (lambda,lambda+1) lies inside the region bounded by the c...

    Text Solution

    |

  12. about to only mathematics

    Text Solution

    |

  13. The abscissa of the two points A and B are the roots of the equation x...

    Text Solution

    |

  14. The Cartesian equation of the plane vecr=(1+lambda-mu)hati+(2-lambda...

    Text Solution

    |

  15. if y = mx is a chord of a circle of radius a and the diameter of the c...

    Text Solution

    |

  16. 18. The straight lines joining the origin to the points of intersectio...

    Text Solution

    |

  17. The locus of the point of intersection of the tangents to the circle x...

    Text Solution

    |

  18. If the chrod of contact of tangents from a point (x(1),y(1)) to the ci...

    Text Solution

    |

  19. The circle S(1) with centre C(1) ( a(1), b(1)) and radius r(1) touche...

    Text Solution

    |

  20. Two vertices of an equilateral triangle are (-1,0) and (1, 0), and its...

    Text Solution

    |