Home
Class 12
MATHS
The circleS x^(2)+y^(2)-10 x+16=0 and x...

The circleS `x^(2)+y^(2)-10 x+16=0` and `x^(2)+y^(2)=r^(2)` intersect each other in distinct points, if

A

`r lt 2`

B

`r gt 8`

C

`2 lt r lt 8`

D

`2 le r le 8`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|200 Videos

  • COMMON ENTRANCE TEST - 2014

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

Similar Questions

Explore conceptually related problems

The circles x^2+y^2=r^2 and x^2+y^2-10x+16=0 intersect each other in distinct points if:

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

The circles x^2+y^2-12x-12y=0 and x^2+y^2+6x+6y=0 :

If the circles x^(2)+y^(2)+2gx+2fy=0 and x^(2)+y^(2)+2g'x+2f'y=0 touch each other, then

The circle x^(2)+y^(2)-8 x=0 and hyperbola (x^(2))/(9)-(y^(2))/(4)=1 intersect at the points A and B . The equation of the circle with A B as its diameter is

Given that the circle x^(2)+y^(2)+2 x-4 y+4=0 and x^(2)+y^(2)-2 x-4 y-4=0 touch each other the equation of the common tangtnt is

The circles x^(2)+y^(2)+6 x+k=0 and x^(2)+y^(2)+8 y-20=0 touch each other internally. The value of k is

If the circles x^2 + y^2 + 2ax + cy+ a = 0 and x^2 + y^2 - 3ax + dy - 1 = 0 intersect in two distinct points P and Q, then the line 5x + by - a = 0 passes through P and Q for :

The circles x^2+y^2+x+y=0 and x^2+y^2+x-y=0 intersect at an angle :

HIMALAYA PUBLICATION-CIRCLES-QUESTION BANK
  1. The two circles : x^2+y^2 =ax and x^2+y^2=c^2 (c > 0) touch each other...

    Text Solution

    |

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

    Text Solution

    |

  3. The circleS x^(2)+y^(2)-10 x+16=0 and x^(2)+y^(2)=r^(2) intersect eac...

    Text Solution

    |

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

    Text Solution

    |

  5. Let PQ and RS be tangents at the extremities of the diameter PR of a c...

    Text Solution

    |

  6. The circle passing through the point (-1,0) and touching the y-axis at...

    Text Solution

    |

  7. The equation of the circle passing through the point (1, 1) and the po...

    Text Solution

    |

  8. A square in inscribed in the circle x^(2)+y^(2)-2 x+4 y-3=0 . Its sid...

    Text Solution

    |

  9. The slope of the tangent at the point (h, h) of the circle x^(2) + y^(...

    Text Solution

    |

  10. How many common tangents can be drawn to the following circles x^(2)+...

    Text Solution

    |

  11. If 2 x-4 y=9 and 6 x-12 y+7=0 are common tangtnts to a circle, then r...

    Text Solution

    |

  12. A variable chord of the circle x^2 + y^2 - 2 ax = 0 is drawn through t...

    Text Solution

    |

  13. One of the diameters of the circle x^(2)+y^(2)-12 x+4 y+6=0 is give...

    Text Solution

    |

  14. The length of the common chord of the circle x^(2)+y^(2)+2 x+3 y+1...

    Text Solution

    |

  15. For the given circleS x^(2)+y^(2)-6 x-2 y+1=0 and x^(2)+y^(2)+2 x-8 y...

    Text Solution

    |

  16. If the line y cos alpha=x sin alpha+a cos alpha be a tangtnt to the c...

    Text Solution

    |

  17. The locus of the midpoint of a chord of the circle x^(2)+y^(2) = 4 whi...

    Text Solution

    |

  18. The equation of the circle which is touched by y=x has its centre on ...

    Text Solution

    |

  19. Tangtnts drawn from the point (4,3) to the circle x^(2)+y^(2)-2 x-4 y...

    Text Solution

    |

  20. If (x)/(alpha)+(y)/(beta)=1 touches the circle x^(2)+y^(2)=a^(2) then...

    Text Solution

    |