Home
Class 12
MATHS
The condition for a line y = 2x + c to t...

The condition for a line `y = 2x + c` to touch the circle `x^(2) + y^(2) = 16` is...

A

`c=10`

B

`c^(2)=80`

C

`c=12`

D

`c^(2)=64`

Text Solution

Verified by Experts

The correct Answer is:
B
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

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

The line y=x+a sqrt(2) touches the circle x^(2)+y^(2)=a^(2) at the point

The st. line y = 4x + c touches the hyperbola x^2-y^2=1 if .

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

The line 5 x+12 y=9 touch the hyperbola x^(2)-9 y^(2)=9 at

If the line y=m x is outside the circle x^(2)+y^(2)-20 y+90=0 then

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

The equation of the line which is a tangent to both the circle x^(2)+y^(2)=5 and the parabola y^(2)=40 x is

The equation of the line which is tangent to both the circle x^(2)+y^(2)=50 and the parabola y^(2)=40 x is

The line 2 x+3 y=12 touches the ellipse 4 x^(2)+9 y^(2)=72 at

HIMALAYA PUBLICATION-CIRCLES-QUESTION BANK
  1. The radius of the circle passing through the point (6.2) and two of wh...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. 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

    |

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

    Text Solution

    |

  15. Given that the circle x^(2)+y^(2)+2 x-4 y+4=0 and x^(2)+y^(2)-2 x-4 y...

    Text Solution

    |

  16. The equation ot the circle concentric with x^(2)+y^(2)+6 x+2 y+1=0 an...

    Text Solution

    |

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

    Text Solution

    |

  18. The equation of the tangent to the circle x^2 + y^2 + 4x - 4y + 4 = 0 ...

    Text Solution

    |

  19. The lines 2x - 3y = 5 and 3x - 4y = 7 are diameters of a circle having...

    Text Solution

    |

  20. If a circle passes through the point (a, b) and cuts x^2+y^2=4 orthogo...

    Text Solution

    |