Home
Class 12
MATHS
The line 3x-2y=k meets the circle x^(2)+...

The line `3x-2y=k` meets the circle `x^(2)+y^(2)=4r^(2)` at only one point if `k^(2)=`

A

`52 r^(2)`

B

`20 r^(2)`

C

`(20)/(9) r^(2)`

D

`(52)/(9) r^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
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 line y=x+a sqrt(2) touches the circle x^(2)+y^(2)=a^(2) at the point

If 2 y+x+3=0 touches the circle 5 x^(2)+5 y^(2)=k then k=

The line x+y=k touches the parabola y=x-x^(2) if k=

Show that the line 3x-4y=1 touches the circle x^(2)+y^(2)-2x+4y+1=0 .

If the straight line 3x + 4y = k touches the circle x^(2) + y^(2) = 16 x , then the values of k are

The equation of the normal to the circle x^(2)+y^(2)-2 x-2 y-2=0 is at the point (3,1) on it is

If the length of the tangent from any point on the circle (x-3)^(2)+(y+2)^(2)=5r^(2) to the circle (x-3)^(2)+(y+2)^(2)=r^(2) is 4 units, then the area between the two circles in sq. units is

The circle x^(2) + y^(2) -3x-4y + 2=0 cuts the x axis at the points

If the straight line 3x + 4y = k touches the circle x^2+y^2-10x = 0, then the value of k is:

The circle x^2+y^2 =4x+8y+5 intersects the line 3x-4y=m at two distinct points if :

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

    Text Solution

    |

  2. If (x(i), (1)/(x(i))), i=1,2,3,4 are four distinct points on the circl...

    Text Solution

    |

  3. The line 3x-2y=k meets the circle x^(2)+y^(2)=4r^(2) at only one point...

    Text Solution

    |

  4. Which of the following is a point on the common chord of the circle x^...

    Text Solution

    |

  5. If the circles x^(2)+y^(2)+2gx+2fy=0 and x^(2)+y^(2)+2g'x+2f'y=0 touch...

    Text Solution

    |

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

    Text Solution

    |

  7. The radius of the circle passing through the point (6.2) and two of wh...

    Text Solution

    |

  8. The equation to the circle with centre (2, 1) and touching the line 3x...

    Text Solution

    |

  9. The condition for a line y = 2x + c to touch the circle x^(2) + y^(2) ...

    Text Solution

    |

  10. The centre of the circle x = 2 + 3 cos theta y = 3 sin theta -1 is ...

    Text Solution

    |

  11. The radius of the circle x^(2) + y^(2) + 4x + 6y +13 = 0 is...

    Text Solution

    |

  12. The two circles x^(2) + y^(2) - 2x + 22y + 5 = 0 and x^(2) + y^(2) + 1...

    Text Solution

    |

  13. If the length of the tangent from any point on the circle (x-3)^(2)+(y...

    Text Solution

    |

  14. The circles ax^(2)+ay^(2)+2g(1)x+2f(1)y+c(1)=0 and bx^(2)+by^(2)+2g(2)...

    Text Solution

    |

  15. The equation of the common tangent of the two touching circles, y^(2)+...

    Text Solution

    |

  16. If the line 2 x+3 y+k=0 is a tangtnt to the circle x^(2)+y^(2)-6 x-8 ...

    Text Solution

    |

  17. The area of the circle x^(2)+y^(2)-2 x+4 y-4=0 is

    Text Solution

    |

  18. x^(2) + y^(2) -6x -6y + 4 = 0, x^(2) + y^(2) -2x -4y + 3 = 0, x^(2) + ...

    Text Solution

    |

  19. If the circles x^(2)+y^(2)-2 x-2 y-7=0 and x^(2)+y^(2)+4 x+2 y+k=0 cu...

    Text Solution

    |

  20. If two circleS x^(2)+y^(2)+2 lambda x+c=0 and x^(2)+y^(2)-2 mu y-c=0 ...

    Text Solution

    |