Home
Class 12
MATHS
The circle x^(2) + y^(2) = 4 x + 8 y + ...

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

A

`15ltmlt65`

B

`35ltmlt85`

C

`-85ltmlt-35`

D

`-35ltmlt15`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY-II

    FULL MARKS|Exercise Additional Question Solved|44 Videos
  • TWO DIMENSIONAL ANALYTICAL GEOMETRY-II

    FULL MARKS|Exercise EXERCISE 5.5|10 Videos
  • THEORY OF EQUATIONS

    FULL MARKS|Exercise Additional Questions Solved|30 Videos

Similar Questions

Explore conceptually related problems

If the circle x^2+y^2-4x-8y-5=0 intersects the line 3x-4y=m at two distinct points, then find the values of mdot

The circle with equation x^2 +y^2 = 1 intersects the line y= 7x+5 at two distinct points A and B. Let C be the point at which the positive x-axis intersects the circle. The angle ACB is

The line x + 2y = a intersects the circle x^2 + y^2 = 4 at two distinct points A and B Another line 12x - 6y - 41 = 0 intersects the circle x^2 + y^2 - 4x - 2y + 1 = 0 at two C and D . The value of 'a' for which the points A,B,C and D are concyclic -

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

The tangents to the curve y = (x - 2)^(2) - 1 at its points of intersectio with the line x - y = 3, intersect at the point

Tangents are drawn to the circle x^2+y^2=9 at the points where it is met by the circle x^2+y^2+3x+4y+2=0 . Fin the point of intersection of these tangents.

The point of intersection of 3x-y=4 and x+y=8 is

The point of intersection of 3x-y=4 and x+y=8 is

FULL MARKS-TWO DIMENSIONAL ANALYTICAL GEOMETRY-II-EXERCISE 5.6
  1. The equation of the circle passing through (1,5) and (4,1) and touchi...

    Text Solution

    |

  2. The eccentricity of the yhyperbola whose latus rectum is 8 and conjug...

    Text Solution

    |

  3. The circle x^(2) + y^(2) = 4 x + 8 y + 5 intersects the line 3x -4y ...

    Text Solution

    |

  4. The length of the diameter of the circle which touches the x-axis at ...

    Text Solution

    |

  5. The radius of the circle 3x^(2)+ by^(2) + 4bx - 6by + b^(2) = 0

    Text Solution

    |

  6. The centre of the circle inscribed in a square formed by the lines ...

    Text Solution

    |

  7. The equation of the normal to the circle x^(2) + y^(2) -2x- 2y + 1=0...

    Text Solution

    |

  8. If P (x,y) be any point on 16x^(2) + 25y^(2) = 400 with foci F(1)...

    Text Solution

    |

  9. The radius of the circle passing through the point (6,2) two of whose...

    Text Solution

    |

  10. The area of quardrilateral formed with foci of the hyperbolas x^(2)/a...

    Text Solution

    |

  11. If the normals of the paralbola y^2=4x drawn at the end points of its...

    Text Solution

    |

  12. If x + y = k is a normal to the parabola y^(2) = 12x then the va...

    Text Solution

    |

  13. The ellipse E(1) : x^(2)/9 + y^(2)/4 =1 is inscribed in a rectangle ...

    Text Solution

    |

  14. Tangents are drawn to the hyperbola x^(2)/9 - y^(2)/4 parallel to th...

    Text Solution

    |

  15. The equation of the circle passing through the foci ellispe x^(2)/16 ...

    Text Solution

    |

  16. Let C be the circle with centre at (1,1) and radius =1 . If T is the ...

    Text Solution

    |

  17. Consider an ellispe whose centre is of the origin and its major axis...

    Text Solution

    |

  18. Area of the greatest rectangle inscribed in the ellipse x^(2)/a^(2) ...

    Text Solution

    |

  19. An ellipse has OB, as semi minor axis, F and F' its foci and the angle...

    Text Solution

    |

  20. The eccentricity of the ellispse (x -3)^(2) + ( y-4)^(2) = y^(2)/9 is

    Text Solution

    |