Home
Class 12
MATHS
If two circle (x-1)^(2)+(y-3)^(2)=r^(2) ...

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

A

`r lt 2`

B

`8 lt r lt 10`

C

`r=2`

D

`2 lt r lt 8`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2001

    KCET PREVIOUS YEAR PAPERS|Exercise Mathematics|53 Videos

  • KARNATAKA CET 2003

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

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

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

Two conics (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 and x^(2)=-(a)/(b)y intersect, if

The two curves x^(3) - 3xy^(2) + 2 = 0 and 3x^2y - y^(3) = 2

The two circles x^(2) + y^(2) -2x + 6y + 6 = 0 and x^(2) + y^(2) -5x + 6y + 15 = 0

The two circles x^(2) + y^(2) - 2x + 22y + 5 = 0 and x^(2) + y^(2) + 14x + 6y + k = 0 intersect orthogonally provided k is equal to...

Prove that the circles x^(2) +y^(2) - 4x + 6y + 8 = 0 and x^(2) + y^(2) - 10x - 6y + 14 = 0 touch at the point (3,-1)

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

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2002-MATHEMATICS (MCQ.s)
  1. If (x(i),(1)/(x(i))),i=1,2,3,4 are four distinct points on a circle, t...

    Text Solution

    |

  2. If two circle (x-1)^(2)+(y-3)^(2)=r^(2) and x^(2)+y^(2)-8x+2y+8=0 inte...

    Text Solution

    |

  3. Orbit of the earth around the sun is an ellipse with sun at one of its...

    Text Solution

    |

  4. If cos^(-1)sqrt(p)+cos^(-1)sqrt(1-p)+cos^(-1)sqrt(1-q)=(3pi)/(4) then ...

    Text Solution

    |

  5. If "tan"^(-1)(x+1)/(x-1)+"tan"^(-1)(x-1)/(x)=tan^(-1)(-7) then the val...

    Text Solution

    |

  6. If log(2)7=x, then x is

    Text Solution

    |

  7. Which of the following linear congruences has no solution?

    Text Solution

    |

  8. The value of Lim(xto pi)(sqrt(2+cosx)-1)/((pi-x)^(2)) is

    Text Solution

    |

  9. Let nge5 and bne0. In the binomial expansion of (a-b)^(n), the sum of ...

    Text Solution

    |

  10. The digit in the unit place of the number 183!+3^(183) is

    Text Solution

    |

  11. If 3x^(2)+xy-y^(2)-3x+6y+K=0 represents a pair of lines , then K=

    Text Solution

    |

  12. The value of "cos"^(2)(pi)/(12)+"cos"^(2)(pi)/(4)+"cos"^(2)(5pi)/(12) ...

    Text Solution

    |

  13. If 0ltxlt(pi)/(2), then the largest angle of a triangle whose sides ar...

    Text Solution

    |

  14. The general solution of the equation sintheta+costheta=1 is

    Text Solution

    |

  15. The value of sum(k=1)^(6)("sin"(2pik)/(7)-I"cos"(2pik)/(7)) is

    Text Solution

    |

  16. If f(x)={{:(xsin((1)/(x))", if "xne0),(0" , if "x=0):} then at x=0 th...

    Text Solution

    |

  17. If y="tan"^(-1)((cosx-sinx)/(cosx+sinx)), then (dy)/(dx)=

    Text Solution

    |

  18. The differential of e^(x^(3)) with respect to log x is

    Text Solution

    |

  19. If p to(qvvr) is false, then the truth values of p,q,r are respectivel...

    Text Solution

    |

  20. If 5 is one root of the equation |(x,3,7),(2,x,-2),(7,8,x)|=0 then the...

    Text Solution

    |