Home
Class 11
MATHS
Find the distance of the line 4x y = 0 ...

Find the distance of the line `4x y = 0` from the point `P(4, 1)` measured along the line making an angle of `135^0`with the positive x-axis.

Text Solution

Verified by Experts

In order to find the distance of the line from the point `P(4,1)` along another line, we have to find the point of intersection of both the lines.
For this purpose, we will first find the equation of the second line.
Slope of second line is `tan135^∘ =−1`.
...
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    NCERT|Exercise EXERCISE 10.3|18 Videos
  • STRAIGHT LINES

    NCERT|Exercise MISCELLANEOUS EXERCISE|24 Videos
  • STRAIGHT LINES

    NCERT|Exercise EXERCISE 10.5|2 Videos
  • STATISTICS

    NCERT|Exercise EXERCISE 15.2|10 Videos
  • TRIGONOMETRIC FUNCTIONS

    NCERT|Exercise EXERCISE 3.1|7 Videos

Similar Questions

Explore conceptually related problems

Find the distance of a line 4x+3y+13=0 from a point (4,3)

distance of the lines 2x-3y-4=0 from the point (1,1) measured paralel to the line x+y=1 is

The distance of the line 2x+3y-5=0 from the point (3, 5) along the line 5x-3y=0 in units is

Find the distance of the line 4x+7y+5=0 from the point along the line 2x-y=0

Find the distance between the st.line 4x+3y-5=0 and the point (-2,1) .

Find the distance of the point (4,1) from the line 3x-4y+12=0

Find the distance of the point (2,3) from the line 2x-3y+9=0 measured along the line 2x-2y+5=0

NCERT-STRAIGHT LINES-SOLVED EXAMPLES
  1. Find the equation of a line perpendicular to the line x-2y+3=0and pas...

    Text Solution

    |

  2. Show that two lines a1x+b1y+c1=0and a2x+b2y+c2=0, where b1,b2!=0are : ...

    Text Solution

    |

  3. If the lines 2a + y 3 = 0, 5x + k y 3 = 0and 3x y 2 = 0are concurr...

    Text Solution

    |

  4. Find the distance of the line 4x y = 0 from the point P(4, 1) measur...

    Text Solution

    |

  5. Assuming that straight lines work as the plane mirror for a point, fi...

    Text Solution

    |

  6. Show that the area of the triangle formed by the lines y=m1x+c1,y=m2x...

    Text Solution

    |

  7. A line is such that its segment between the lines 5x-y + 4 = 0and 3x ...

    Text Solution

    |

  8. Show that the path of a moving point such that its distances from two...

    Text Solution

    |

  9. Write the equation of the line through the points (1, 1)and (3, 5).

    Text Solution

    |

  10. Write the equation of the line for which tantheta=1/2,where thetais th...

    Text Solution

    |

  11. Find the equations of the lines parallel to axes and passing through(...

    Text Solution

    |

  12. Find the equation of the line through ( 2, 3)with slope 4.

    Text Solution

    |

  13. Three points P(h ,k),Q(x1,y1)and R(x2,y2)lie on a line. Show that (h-...

    Text Solution

    |

  14. In Figure, time and distance graph of a linear motion is given. Two p...

    Text Solution

    |

  15. If the angle between two lines is pi/4and slope of one of the lines ...

    Text Solution

    |

  16. Line through the points (-2, 6)and (4, 8)is perpendicular to the line...

    Text Solution

    |

  17. Find the slope of the lines: (a) Passing through the points (3, -2)an...

    Text Solution

    |

  18. Find the equation of line parallel to the y-axis and drawn through th...

    Text Solution

    |

  19. Find the new coordinates of point (3,4) if the origin is shifted to (...

    Text Solution

    |

  20. Find the transformed equation of the straight line 2x - 3y+ 5= 0, whe...

    Text Solution

    |