Home
Class 12
MATHS
If y=2x+c is tangent to the circle x^(2)...

If `y=2x+c` is tangent to the circle `x^(2)+y^(2)=16` find c.

Text Solution

Verified by Experts

The correct Answer is:
`4sqrt(5)`
Promotional Banner

Topper's Solved these Questions

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 5.1|14 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 5.2|28 Videos

  • THEORY OF EQUATIONS

    PREMIERS PUBLISHERS|Exercise Problems for practice (Answer the following)|21 Videos

Similar Questions

Explore conceptually related problems

If y=4x+c is a tangent to the circle x^(2)+y^(2)=9 , find c.

If y = 2sqrt2x+c is a tangent to the circle x^(2) +y^(2) = 16 , find the value of c.

If y = 2x + c is a tangent to the circel x^(2) + y^(2) = 5 , then c is

If the line y=mx+c is a tangent to the ellipse x^(2)+2y^(2)=4 , find c

Condition for y = mx + c to be a tangent to the circle x^(2) + y^(2) = a^(2) is

find the value of p so that 3x + 4y - p =0 is a tangent to the circle x^(2) + y^(2) - 64 =0

If the line lx+my+n=0 is tangent to the circle x^(2)+y^(2)=a^(2) , then find the condition.

Equation of a common tangent to the circle x^(2) + y^(2) - 6x = 0 and the parabola, y^(2) = 4x , is

PREMIERS PUBLISHERS-TWO DIMENSIONAL ANALYTICAL GEOMETRY - II -PROBLEMS FOR PRACTICE
  1. If y=2x+c is tangent to the circle x^(2)+y^(2)=16 find c.

    Text Solution

    |

  2. The point of intersection of the tangent at 't(1)' and 't(2)' to the ...

    Text Solution

    |

  3. The latus rectum of the parabola y^(2)-4x+4y+8=0 is:

    Text Solution

    |

  4. The point of contact of the tangent 2x+3y+9=0 to the parabola y^(2)=8x...

    Text Solution

    |

  5. The eccentricity of the ellipse 9x^(2)+5y^(2)-54x-40y+116=0 is:

    Text Solution

    |

  6. The area of the directrix circle of the ellipse (x^(2))/(16)+(y^(2))/(...

    Text Solution

    |

  7. If the length of the latus rectum is half the length of the conjucate ...

    Text Solution

    |

  8. The locus of the point of intersection of perpendicular tangents to th...

    Text Solution

    |

  9. The equation of the tangent to the parabola y^(2)=16x inclined at 60^(...

    Text Solution

    |

  10. The equation of conic with focus (-2,1) and directrix 3x-y+2=0 is:

    Text Solution

    |

  11. The ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 has the points A and B a...

    Text Solution

    |

  12. The point of contact of the line 2x-y+2=0 with the parabola y^(2)=16x ...

    Text Solution

    |

  13. The radius of the director circle of the hyperbola (x^(2))/(25)-(y^(2)...

    Text Solution

    |

  14. If 4x+y+k=0 is a tangent to the ellipse x^(2)+3y^(2)=3 then k = ?

    Text Solution

    |

  15. The tangent to the hyperbola 3x^(2)-y^(2)=3 parallel to 2x-y+4=0 is:

    Text Solution

    |

  16. The eccentricity of the ellipse for which the distance between the dir...

    Text Solution

    |

  17. The radius of the director circle of the hyperbola (x^(2))/(25)-(y^(2)...

    Text Solution

    |

  18. In are ellispe , the distance between its foci is 6 and its minor axi...

    Text Solution

    |

  19. The tangents at the points t(1) and t(2) on the parabola y^(2)=4ax are...

    Text Solution

    |

  20. The equation of normal at (-3,4) to the circle x^(2)+y^(2)=25 is 4x+3y...

    Text Solution

    |

  21. The equation of the ellipse with foci (pm2,0) vertices (pm3,0) is:

    Text Solution

    |