Home
Class 12
MATHS
The number of integral values of r for ...

The number of integral values of r for which the circle `(x-1)^2+(y-3)^2=r^2` and `x^2+y^2-8x+2y+8=0` intersect at two distinct points is ____

A

a)2ltrlt8

B

b)rlt2

C

c)r=2

D

d)rgt2

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Circles

    A DAS GUPTA|Exercise EXERCISE|122 Videos

  • Binomial Theorem for Positive Integrel Index

    A DAS GUPTA|Exercise Exercise|113 Videos

  • Circular Functions, Identities

    A DAS GUPTA|Exercise Exercise|300 Videos

Similar Questions

Explore conceptually related problems

If two circles (x-1)^(2)+(y-3)^(2)=r^(2) and x^(2)+y^(2)-8x+2y+8=0 intersect in two distinct points , then

The two circles x^(2)+y^(2)=r^(2) and x^(2)+y^(2)-10x+16=0 intersect at two distinct points.Then

The circles x^(2)+y^(2)-10x+16=0 and x^(2)+y^(2)=a^(2) intersect at two distinct point if

If the two circles (x-2)^(2)+(y+3)^(2) =lambda^(2) and x^(2)+y^(2) -4x +4y-1=0 intersect in two distinct points then :

The number of intergral values of k for which the line, 3x+4y=k intersects the circle, x^(2)+y^(2)-2x-4y+4=0 at two district points is ______

If the two circles (x+1)^(2)+(y-3)=r^(2) and x^(2)+y^(2)-8x+2y+8=0 intersect in two distinct point,then (A)r>2(B)2

A DAS GUPTA-Circles-EXERCISE
  1. The chord along the line y-x=3 of the circle x^2 + y^2 = k^2, subtends...

    Text Solution

    |

  2. A square is inscribed in the circle x^2+y^2-2x+4y+3=0 . Its sides are ...

    Text Solution

    |

  3. The number of integral values of r for which the circle (x-1)^2+(y-3)...

    Text Solution

    |

  4. The centre of a circle passing through the points (0, 0), (1, 0) and t...

    Text Solution

    |

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

    Text Solution

    |

  6. For any lambda in R, the locus x² + y² - 2lambdax - 2lambday +lambda²=...

    Text Solution

    |

  7. Find the equation of the circle which touch the line 2x-y=1 at (1,1) a...

    Text Solution

    |

  8. The circle for which the points (am^2,2am) and (a/m^2, (-2a)/m) are th...

    Text Solution

    |

  9. The radius of the circle passing through the point (6,2) and having x ...

    Text Solution

    |

  10. A circle passes through point (3, sqrt(7/2)) and touches the line-pai...

    Text Solution

    |

  11. The angle between a pair of tangents from a point P to the circe x^2 +...

    Text Solution

    |

  12. Let AB be a line segment of length 4 with A on the line y = 2x and B o...

    Text Solution

    |

  13. The locus of the centre of a circle which touches externally the circl...

    Text Solution

    |

  14. Prove that the centres of the circles x^2+y^2=1, x^2+y^2+6x-2y-1=0 and...

    Text Solution

    |

  15. Find the equation of the circle which passes through the origin and...

    Text Solution

    |

  16. The line x+3y=0 is a diameter of the circle x^2+y^2-6x+2y=0

    Text Solution

    |

  17. The lines 2x+3y+19=0 and 9x+6y-17=0 , cut the coordinate axes at concy...

    Text Solution

    |

  18. The area of an equilateral triangle inscribed in the circle x^2 + y^2-...

    Text Solution

    |

  19. The range of values of a such that the angle theta between the pair of...

    Text Solution

    |

  20. Let A-=(-1,0),B-=(3,0), and P Q be any line passing through (4, 1) hav...

    Text Solution

    |