Home
Class 11
MATHS
The line 2x-y+1=0 is tangent to the circ...

The line `2x-y+1=0` is tangent to the circle at the point (2, 5) and the center of the circle lies on `x-2y=4` . Then find the radius of the circle.

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

The line 2x-y+1=0 is tangent to the circle at the point (2, 5) and the centre of the circle lies on x-2y=4. The square of the radius of the circle is

The line 2x - y + 1 = 0 is tangent to the circle at the point (2,5) and the centre of the circles lies on x-2y = 4. The radius of the circle is :

The line 2x-y+1=0 is tangent to the circle at the point (2, 5) and the center of the circle lies on x-2y=4. The radius of the circle is (a) 3sqrt(5) (b) 5sqrt(3) (c) 2sqrt(5) (d) 5sqrt(2)

The line 2x-y+1=0 touches a circle at the point (2, 5) and the centre of the circle lies on x-2y=4 . The diameter (in units) of the circle is

If the line 2x-y+1=0 touches the circle at the point (2,5) and the centre of the circle lies in the line x+y-9=0. Find the equation of the circle.

The line 5x - y = 3 is a tangent to a circle at the point (2, 7) and its centre is on theline x + 2y = 19 . Find the equation of the circle.

If the line x+3y=0 is tangent at (0,0) to the circle of radius 1, then the centre of one such circle is

If the line y=2-x is tangent to the circle S at the point P(1,1) and circle S is orthogonal to the circle x^2+y^2+2x+2y-2=0 then find the length of tangent drawn from the point (2,2) to the circle S

The line y=x is a tangent at (0,0) to a circle of radius unity. The center of the circle is

If the lines 3x-4y+4=0 and 6x-8y-7=0 are tangents to a circle, then find the radius of the circle.

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. If the lines x+y=6 and x+2y=4 are diameters of the circle which passes...

    Text Solution

    |

  2. Find the equation of the circle with radius 5 whose center lies on the...

    Text Solution

    |

  3. The line 2x-y+1=0 is tangent to the circle at the point (2, 5) and the...

    Text Solution

    |

  4. Find the image of the circle x^2+y^2-2x+4y-4=0 in the line 2x-3y+5=0

    Text Solution

    |

  5. If x^2+y^2-2x+2a y+a+3=0 represents the real circle with nonzero radiu...

    Text Solution

    |

  6. Find the equation of the circle having radius 5 and which touches line...

    Text Solution

    |

  7. If the equation p x^2+(2-q)x y+3y^2-6q x+30 y+6q=0 represents a circle...

    Text Solution

    |

  8. If the lines 3x-4y+4=0 and 6x-8y-7=0 are tangents to a circle, then fi...

    Text Solution

    |

  9. Find the area of the triangle formed by the tangents from the point (4...

    Text Solution

    |

  10. Tangents are drawn to x^2+y^2=1 from any arbitrary point P on the line...

    Text Solution

    |

  11. Find the length of the tangent drawn from any point on the circle x^2+...

    Text Solution

    |

  12. Find the locus of a point which moves so that the ratio of the lengths...

    Text Solution

    |

  13. The tangent at any point P on the circle x^2+y^2=4 meets the coordinat...

    Text Solution

    |

  14. If a line passing through the origin touches the circle (x-4)^2+(y+5)^...

    Text Solution

    |

  15. If the chord of contact of the tangents drawn from the point (h , k) t...

    Text Solution

    |

  16. If the straight line x - 2y + 1 = 0 intersects the circle x^2 + y^2 = ...

    Text Solution

    |

  17. If the chord of contact of the tangents drawn from a point on the ci...

    Text Solution

    |

  18. The lengths of the tangents from any point on the circle 15x^(2)+15y^(...

    Text Solution

    |

  19. Find the equation of the normal to the circle x^2+y^2=9 at the point (...

    Text Solution

    |

  20. Find the equations of tangents to the circle x^2+y^2-22 x-4y+25=0 whic...

    Text Solution

    |