Home
Class 11
MATHS
Find the equation of a line which is at ...

Find the equation of a line which is at a perpendicular distance of `sqrt(2)` units from origin and the perpendicular from origin to this line makes an angle of `135^(@)` from positive direction of `X`-axis.

Text Solution

Verified by Experts

The correct Answer is:
`x-y+2=0`
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    NAGEEN PRAKASHAN|Exercise Exercise|206 Videos

  • STATISTICS

    NAGEEN PRAKASHAN|Exercise MISCELLANEOUS EXERCISE|7 Videos

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise MISCELLANEOUS EXERCISE|10 Videos

Similar Questions

Explore conceptually related problems

Find the equation of a line which is at a distance of 5 units from origin and the perpendicular from origin to this line makes an angle of 30^(@) from the positive direction of X -axis.

Find the equation of a line which is at a distance of 2 units from origin and the perpendicular from origin to this line makes an angle tan^(-1)"(12)/(5) from positive direction of X -axis.

Find the equation of a line which is at a distance of 5 units from origin and the perpendicular from origin to this line makes an angle alpha from the positive direction of X -axis where tan alpha=(4)/(3) .

Find the equation of a line which is at a distance of 4 units from origin and the slope of perpendicular from origin to this line is (1)/(sqrt(3)) .

Find th equation of the plane which is at distance of 8 units from origin and the perpendicular vector from origin to this plane is (2hati+hatj-2hatk) .

Find the equation of the straight line which is at a distance 3 from the origin and perpendicular from the origin to the line makes an angle of 30^(0) with the positive direction of the x-axis.

Find the equation of a plane which is a distance of 2 units from origin and the d.r's of perpendicular vectors are 2,-1,2 .

Find the equation of the line which is at a distance 5 from the origin and the perpendicular from the origin to the line makes an angle 60^0 with thepositive direction of the x-axis.

Find the equation of a line with slope -1 and whose perpendicular distance from the origin is equal to 5

NAGEEN PRAKASHAN-STRAIGHT LINES-Exercise
  1. (i) Find the equation of a line, in which the mid- point of the line s...

    Text Solution

    |

  2. Find the equation of a line whose segment between the axes is divided ...

    Text Solution

    |

  3. Find the equation of a line which is at a perpendicular distance of sq...

    Text Solution

    |

  4. Find the equation of a line which is at a distance of 2 units from ori...

    Text Solution

    |

  5. Find the equation of a line which is at a distance of 4 units from ori...

    Text Solution

    |

  6. Find the equation of a line which makes a triangle of area 96sqrt(3) s...

    Text Solution

    |

  7. Convert the line 3x-4y+5=0 into perpendicular form and find the length...

    Text Solution

    |

  8. Convert the following equations into slope-intercept form and find the...

    Text Solution

    |

  9. Convert the following equations into intercept form and find the inter...

    Text Solution

    |

  10. Convert the following equations into perpendicular form and find the l...

    Text Solution

    |

  11. Find the angle formed by the line sqrt(3)x+y-5=0 from the positive dir...

    Text Solution

    |

  12. Find the angle between the lines sqrt(3)x+y=2 and x+sqrt(3)y=3.

    Text Solution

    |

  13. Find the equation of a line passes through the points (3,4) and parall...

    Text Solution

    |

  14. Find the equation of a line passes through the point (-2,1) and perpen...

    Text Solution

    |

  15. Prove that the lines 2x+5y=8 and 4x+10y-1=0 are parallel.

    Text Solution

    |

  16. Prove that the lines x+3y+2=0 and 3x-y=0 are perpendicular.

    Text Solution

    |

  17. Find the angle between the following pairs of lines : (i) y=sqrt(3)x+...

    Text Solution

    |

  18. Find the slope of a line perpendicular to the line 3x+5y=8.

    Text Solution

    |

  19. If a line passes through the points (a,1) and (3,-5), meets the line 3...

    Text Solution

    |

  20. Find the point of intersection of the following pair of lines : (i) ...

    Text Solution

    |