Home
Class 12
MATHS
If the circle x^2+y^2-4x-8y-5=0 intersec...

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`

A

`-35ltmlt15`

B

`15ltmlt65`

C

`35ltmlt85`

D

`-85ltmlt-35`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos
  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|8 Videos
  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos
  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|43 Videos

Similar Questions

Explore conceptually related problems

If the circle x^(2)+y^(2)=4x+8y+5 intersects the line 3x-4y=m at two distinct points, then the number of possible integral values of m is equal to

The line x+2y+a=0 intersects the circle x^2+y^2-4=0 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 distincts points C and D. The value of 'a' so that the line x+2y+a=0 intersects the circle x^2+y^2-4=0 at two distinct points A and B is

The circle x^2+""y^2=""4x""+""8y""+""5 intersects the line 3x""""4y""=""m at two distinct points if (1) 35""<""m""<""15 (2) 15""<""m""<""65 (3) 35""<""m""<""85 (4) 85""<""m""<"" 35

If the line y=3x+lambda intersects the parabola y^(2)=4x at two distinct points then set of values of lambda

The circle x^(2)+y^(2)-4x+8y+5=0 touches the line 3x-4y=m then sum of the absolute value of m

If normal of circle x^(2)+y^(2)+6x+8y+9=0 intersect the parabola y^(2)=4x at P and Q then find the locus of point of intersection of tangent's at P and Q.

ARIHANT MATHS-CIRCLE -Exercise (Subjective Type Questions)
  1. The centres of two circles C(1) and C(2) each of unit radius are at a...

    Text Solution

    |

  2. If P and Q are the points of intersection of the circles x^2+""y^2+...

    Text Solution

    |

  3. If the circle x^2+y^2-4x-8y-5=0 intersects the line 3x-4y=m at two dis...

    Text Solution

    |

  4. The circle passing through the point (-1,0) and touching the y-axis at...

    Text Solution

    |

  5. The straight line 2x-3y = 1 divides the circular region x^2+ y^2 le6 i...

    Text Solution

    |

  6. The two circles x^2+""y^2=""a x and x^2+""y^2=""c^2(c"">""0) touch eac...

    Text Solution

    |

  7. The locus of the middle point of the chord of contact of tangents draw...

    Text Solution

    |

  8. A tangent PT is drawn to the circle x^2 + y^2= 4 at the point P(sqrt3,...

    Text Solution

    |

  9. A tangent PT is drawn to the circle x^2 + y^2= 4 at the point P(sqrt3,...

    Text Solution

    |

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

    Text Solution

    |

  11. The circle passing through (1, -2) and touching the axis of x at (3...

    Text Solution

    |

  12. Circle(s) touching x-axis at a distance 3 from the origin and having a...

    Text Solution

    |

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

    Text Solution

    |

  14. A circle S passes through the point (0, 1) and is orthogonal to the ci...

    Text Solution

    |

  15. Locus of the image of the point (2, 3) in the line (2x-3y""+""4)""+...

    Text Solution

    |

  16. The number of common tangents to the circles x^(2)+y^(2)-4x-6y-12=0 a...

    Text Solution

    |

  17. The centres of those circles which touch the circle, x^2+y^2-8x-8y-4=0...

    Text Solution

    |

  18. If one of the diameters of the circle, given by the equation, x^2+y^2-...

    Text Solution

    |

  19. Let RS be the diameter of the circle x^2+y^2=1, where S is the point (...

    Text Solution

    |

  20. For how many values, of p, the circle x^2+y^2+2x+4y-p=0 and the coordi...

    Text Solution

    |