Home
Class 11
MATHS
Find the distance between parallel line...

Find the distance between parallel lines(i) `15 x + 8y -34 = 0`and `15 x + 8y + 31 = 0 `(ii) `l(x + y) + p = 0 and l(x + y) - r =0`.

Text Solution

AI Generated Solution

To find the distance between the given parallel lines, we will use the formula for the distance \( d \) between two parallel lines given by: \[ d = \frac{|c_1 - c_2|}{\sqrt{a^2 + b^2}} \] where the equations of the lines are in the form \( ax + by + c_1 = 0 \) and \( ax + by + c_2 = 0 \). ...
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    NCERT ENGLISH|Exercise MISCELLANEOUS EXERCISE|24 Videos
  • STRAIGHT LINES

    NCERT ENGLISH|Exercise EXERCISE 10.1|14 Videos
  • STRAIGHT LINES

    NCERT ENGLISH|Exercise EXERCISE 10.4|4 Videos
  • STATISTICS

    NCERT ENGLISH|Exercise EXERCISE 15.2|10 Videos
  • TRIGONOMETRIC FUNCTIONS

    NCERT ENGLISH|Exercise All Questions|110 Videos

Similar Questions

Explore conceptually related problems

Find the distance between the parallel lines x+y=1and x+y+2=0

Find the distance between the parallel lines 3x + 4y + 7 = 0 and 3x + 4y + 5 = 0 .

Find the distance between the parallel lines 3x + 4y + 7 = 0 and 3x + 4y + 5 = 0 .

Find the distance between the parallel lines 5x+12y-20=0 and 5x+12y+6=0 .

Find the distance between the parallel lines 3x+4y-7=0 and 3x+4y+8=0 .

Find the distance between the parallel lines 3x-4y+9=0\ a n d\ 6x-8y-15=0.

Find the distance between the parallel planes x+y−z+4=0 and x+y−z+5=0.

Find the distance between the parallel lines 9x+6y-7=0\ a n d\ 3x+2y+6=0.

Determine the distance between the pair of parallel lines: 8x+15 y-34=0\ a n d\ 8x+15 y+31=0

Find the distance between the pair of parallel lines x^2+4x y+4y^2+3x+6y-4=0

NCERT ENGLISH-STRAIGHT LINES-EXERCISE 10.3
  1. The line through the points (h, 3) and (4, 1) intersects the line 7x-9...

    Text Solution

    |

  2. Prow that the line through the point (x1, y1)and parallel to the line...

    Text Solution

    |

  3. Two lines passing through the point (2, 3) intersects each other at a...

    Text Solution

    |

  4. Find the equation of the right bisector of the line segment joining...

    Text Solution

    |

  5. Find the coordinates of the foot of perpendicular from the point (-1, ...

    Text Solution

    |

  6. The perpendicular from the origin to the line y = m x + cmeets it at...

    Text Solution

    |

  7. If p and q are the lengths of perpendiculars from the origin to the l...

    Text Solution

    |

  8. In the triangle ABC with vertices A (2, 3), B (4, -1) and C (1, 2), ...

    Text Solution

    |

  9. If p is the length of perpendicular from the origin to the line whose...

    Text Solution

    |

  10. Reduce the following equations into normal form. Find their perpendic...

    Text Solution

    |

  11. Reduce the following equations into intercept form and find their int...

    Text Solution

    |

  12. Reduce the following equations into slope intercept form and find th...

    Text Solution

    |

  13. Find equation of the line parallel to the line 3x - 4y + 2 = 0and pass...

    Text Solution

    |

  14. Find the distance between parallel lines(i) 15 x + 8y -34 = 0and 15 x...

    Text Solution

    |

  15. Find the points of the xaxis, whose distances from the line x/3+y/4=1...

    Text Solution

    |

  16. Find the distance of the point (1, 1)from the line 12(x + 6) = 5(y - ...

    Text Solution

    |

  17. Find angles between the lines sqrt(3)x+y=1and x+sqrt(3)y=1.

    Text Solution

    |

  18. Find equation of the line perpendicular to the line x - 7y + 5 = 0and ...

    Text Solution

    |