Home
Class 12
MATHS
The circles x^(2)+y^(2)=4x+8y+5 intersec...

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

A

`-85 lt m lt -35`

B

`-35 lt m lt 15`

C

`15 lt m lt 65`

D

`35 lt m lt 85`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 1C(Pole, Polar)|107 Videos
  • CIRCLE

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 1D(Angle Between Circles)|49 Videos
  • CIRCLE

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 1A(Circle)|110 Videos
  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos
  • COMPLEX NUMBERS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 4)|5 Videos

Similar Questions

Explore conceptually related problems

If the line 2x + 5y = 12 intersects the ellipse 4x^(2)+5y^(2) = 20 in two distinct points A and B, then the mid point of AB is

The line y=mx+c intersects the circle x^(2)+y^(2)=r^(2) in two distinct points if

If the line 2x + 5y = 12 intersects the ellipse 4x^(2)+5y^(2)=20 in two distinct points A and B, then the midpoint of AB is

If the circles (x-1)^(2)+(y-3)^(2)=4r^(2) and x^(2)+y^(2)-8x+2y+8=0 intersect in two distinct points, then show that 1ltrlt 4 .

If the two circles (x-1)^(2)+(y-3)^(2)=r^(2) and x^(2)+y^(2)-8x+2y+8=0 intersect in two distinct points, then

For the circle x^(2)+y^(2)-4x-2y-36=0 , the point (3, 5)

If the two circles (x - 1)^(2) + (y - 3)^(2) = r^(2) and x^(2) + y^(2) - 8x+ 2y + 8 = 0 intersect at two distinct points, then

Consider the following statementas. I. The intercept made by the circle x^(2)+y^(2)-2x-4y+1=0 on Y- axis is 2sqrt(3) II. The intercept made by the circle x^(2)+y^(2)-4x-2y+6=0 on X-axis is 2sqrt(2) III. The straight line y=2x+1 cuts the circle br x^(2)+y^(2) = 9 at two distinct points Then which one of the following option is correct?

DIPTI PUBLICATION ( AP EAMET)-CIRCLE-Exercise 1B(Circle-Line)
  1. The length of the intercept made by the circle x^(2)+y^(2)+10x-12y-13=...

    Text Solution

    |

  2. The intercept made by the circlee x^(2)+y^(2)-2hx sin theta-2ky sin th...

    Text Solution

    |

  3. The extermities of a diameter of a circle have coordinate (-4,-3) and ...

    Text Solution

    |

  4. The length of the chord x+2y=5 of the circle x^(2)+y^(2)=9 is

    Text Solution

    |

  5. The length of the chord x=3y+13 cut off by the circle x^(2)+y^(2)-4x+...

    Text Solution

    |

  6. The equation of the circle with centre (3,-1) and which cuts off a cho...

    Text Solution

    |

  7. The locus of centre of a circle which passes through the origin and cu...

    Text Solution

    |

  8. The equation of the circle which is touched by y=x, has its centre on ...

    Text Solution

    |

  9. The locus of the foot of the perpendicular drawn from the origin to an...

    Text Solution

    |

  10. The locus of the centre of a circle which passes through the point (h,...

    Text Solution

    |

  11. The circles x^(2)+y^(2)=4x+8y+5 intersects the line 3x-4y = m at two d...

    Text Solution

    |

  12. If the line passing through P=(8,3) meets the circle S-=x^(2)+y^(2)-8x...

    Text Solution

    |

  13. If the tangent at P on the circle x^(2)+y^(2)=a^(2) cuts two parallel ...

    Text Solution

    |

  14. The lines 2x+3y+19=0 and 9x+6y-17=0 cuts the coordinate axes in

    Text Solution

    |

  15. If a circle passes through the points of intersection of the axes with...

    Text Solution

    |

  16. If the line 2x+3y+1=0, 3x+2y-1=0 intersect the coordinate axes in four...

    Text Solution

    |

  17. If the lines 2x-y+11=0, x-2y+3=0 intersect the coordinate axes in four...

    Text Solution

    |

  18. The number of tangents that can be drawn from (6,0) to the circle x^(2...

    Text Solution

    |

  19. The equation of the chord of contact of the point (4,2) with respect t...

    Text Solution

    |

  20. The length of the chord of contact of (-2,3) with respect to the circl...

    Text Solution

    |