Home
Class 12
MATHS
If the circles x^(2)+y^(2)-4r x-2ry+4r^(...

If the circles `x^(2)+y^(2)-4r x-2ry+4r^(2)=0` and `x^(2)+y^(2)=25` touch each other, then r satisfies

A

`4r^(2)+10r pm25=0`

B

`5r^(2)+10r pm16=0`

C

`4r^(2)pm10r+25=0`

D

`4r^(2)pm 10r-25=0`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS (2011)

    WB JEE PREVIOUS YEAR PAPER|Exercise DESCRIPTIVE TYPE QUESTIONS|10 Videos

  • QUESTION PAPER 2008

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

Similar Questions

Explore conceptually related problems

If the circle x ^(2) +y^(2) -4rx- 2ry+4r^(2)=0 and x^(2) +y^(2) =25 touch each other, then r satisfies-

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

Show that the circles x^(2) + y^(2) - 8x - 4y - 16 = 0 and x^(2) + y^(2) - 2x + 4y + 4 = 0 touch each other internally and find the coordinates of their point of contact.

Prove that the circles x^(2) + y^(2) + 4x - 10y - 20 = 0 and x^(2) + y^(2) - 4x - 4y + 4 = 0 touch each other internally. Find the equation of their common tangent.

If two cricles x^2 + y^2 + 2gx + 2fy = 0 and x^2 +y^2 + 2g'x + 2f'y = 0 touch each other, then

Show that the circles x^(2) + y^(2) - 4x + 6y + 8 = 0 and x^(2) + y^(2) - 10x - 6y + 14 = 0 touch each other externally, find the coordinates of their point of contact.

The circle x ^(2) +y^(2) -8 x+4=0 touches -

Prove that the circles x^(2) + y^(2) - 2x - 4y - 12 = 0 and 3x^(2) + 3y^(2) - 2x + 4y - 140 = 0 touch each other. Find the coordinates of the point of contact.

Show that the circles x^(2) + y^(2) + 6x + 14y + 9 = 0 and x^(2) + y^(2) - 4x - 10y - 7 = 0 touch each other externally, find also the equation of the common tangent of the two circles.

Show that the circles x^2+y^2-10 x+4y-20=0 and x^2+y^2+14 x-6y+22=0 touch each other. Find the coordinates of the point of contact and the equation of the common tangent at the point of contact.

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2007-MULTIPLE CHOICE QUESTIONS
  1. Show that ,the maximum value of ((1)/(x))^(x) is e^((1)/(e)

    Text Solution

    |

  2. The value of the integeral int(-pi//7)^(pi//7)x^(3) cos^(2)x dx is

    Text Solution

    |

  3. The sum of the series 1+(1)/(3.9)+(1)/(5.81)+(1)/(7.729)+……. to oo is

    Text Solution

    |

  4. Using integration find the area of the region bounded by the parabola ...

    Text Solution

    |

  5. If m and n denote respectively the order and degree of a differential ...

    Text Solution

    |

  6. A particle is moving along the x - axis in such a way that it has disp...

    Text Solution

    |

  7. The identity mapping I(c ) : S to S is defined as I(s)(x)=x for x in S...

    Text Solution

    |

  8. If z = x + iy and arg ((z-1)/(z+1))=(pi)/(4), then the locus of (x, y)...

    Text Solution

    |

  9. Solve the equation (dy)/(dx)+y/x=x^2

    Text Solution

    |

  10. A partiole is moving in a straight line such that its velocity at time...

    Text Solution

    |

  11. For an integrable function f (x) in [-3, 3], which of the following is...

    Text Solution

    |

  12. The area bounded by the parabola y^(2)=2x+1 and the line x-y=1 is

    Text Solution

    |

  13. If the circles x^(2)+y^(2)-4r x-2ry+4r^(2)=0 and x^(2)+y^(2)=25 touch ...

    Text Solution

    |

  14. The minimum value of 6 cos alpha + 8 sin alpha + 11 is

    Text Solution

    |

  15. If alpha, beta be the roots of the equation x^(2)+x+1=0, the value of ...

    Text Solution

    |

  16. If A=[(0,3),(4,5)] and kA=[(0,4a),(3b,60)], then the values of k, a an...

    Text Solution

    |

  17. Let f(x)=(ax)/(x+1), x ne1, then the value of 'a' for which f[f(x)]=x ...

    Text Solution

    |

  18. If x in[0,6], the probability that the expression x^(2)-7x+10 ge 0 is

    Text Solution

    |

  19. Let f(x+y)=f(x)f(y)AA x, in IR, f(6)=5 and f'(0)=1. Then the value of ...

    Text Solution

    |

  20. If the ratio of the sides of a triangle is 4 : 5 : 7, then the triangl...

    Text Solution

    |