Home
Class 12
MATHS
Find the equation of the line which has ...

Find the equation of the line which has the length of the perpendicular from origin to the line as 4 units and the perpendicular segment on the line I makes an angle of `120^(@)` with the positive direction of x-axis.

Text Solution

Verified by Experts

The correct Answer is:
`sqrt(3)x+y-8=0`
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|53 Videos

  • STRAIGHT LINES

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|122 Videos

  • STATISTICS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|40 Videos

  • THREE DIMENSIONAL GEOMETRY

    NEW JOYTHI PUBLICATION|Exercise Objective|36 Videos

Similar Questions

Explore conceptually related problems

The length of the perpendicular from origin to line is sqrt3x-y+24=0 is:

The equation of the line with slope 2 and the length of the perpendicular from the origin equal to sqrt(5) is

Find the equation of a line through the origin which makes an angle of 45^(@) with the positive direction of x-axis.

Find the slope of the lines : Making inclination of 60^(@) with the positive direction of x- axis.

The length of perpendicular form the origin to the line (x)/(3)-(y)/(4)=1 is

Find the slope of the line, which makes an angle of 30^(@) with the positive direction of y-axis measured anticlockwise.

Find the slope of the line, which makes an angle of 30^(@) with the positive direction of y-axis measured anticlockwise.

Determine x so that the line passing through (3,4)a n d(x ,5) makes an angle of 135^0 with the positive direction of the x-axis.

NEW JOYTHI PUBLICATION-STRAIGHT LINES-QUESTIONS FROM COMPETITIVE EXAMS
  1. Find the equation of the line which has the length of the perpendicula...

    Text Solution

    |

  2. The incentre of the triangle ABC where A(-36, 7) B (20,7) and C (0,-8...

    Text Solution

    |

  3. The foot of the perpendicular from the point (3,4) on the line 3x – 4...

    Text Solution

    |

  4. The equation of the base BC of an equilateral triangle ABC is x+y= 2 ...

    Text Solution

    |

  5. The product of the perpendiculars from (-1,2) to the pair of lines ...

    Text Solution

    |

  6. The distance between the pair of parallel lines x^(2) + 4xy + 4y^(2) ...

    Text Solution

    |

  7. The four lines 6x^(2) – 5xy - 6y^(2) + x+5y–1=0 and 6x^(2) – 5xy -6y^...

    Text Solution

    |

  8. The foot of perpendicular from (-2, 3) to the line 2x - y - 3 = 0 is

    Text Solution

    |

  9. If the lines x - y - 1 = 0, 4x + 3y = k and 2x – 3y +1 = 0 are concur...

    Text Solution

    |

  10. The centroid of a triangle formed by the points (0,0), (cos theta, si...

    Text Solution

    |

  11. The orthocentre of the triangle formed by (8,0) and (4, 6) with the o...

    Text Solution

    |

  12. If xy - 4x + 3y - lambda=0 represents the asymptotes of xy - 4x + 3y ...

    Text Solution

    |

  13. The inclination of the straight line passing through the point (-3, 6...

    Text Solution

    |

  14. A point moves such that the area of the triangle formed by it with th...

    Text Solution

    |

  15. The line (x)/(a)-(y)/(b) =1 cuts the x-axis at P. The equation of t...

    Text Solution

    |

  16. The value of lambda for which the lines 3x + 4y=5, 2x+3y=4 and lambda...

    Text Solution

    |

  17. The orthocentre of the triangle whose vertices are (5,-2), (-1, 2) an...

    Text Solution

    |

  18. Distance between the lines 5x + 3y-7 = 0 and 15x +9y + 14 = 0 is

    Text Solution

    |

  19. If the equation 2x^(2) + 7xy+3y^(2) - 9x - 7y+k=0 represents a pair o...

    Text Solution

    |

  20. The angle between the lines 2x - y+3 = 0 and x + 2y + 3 = 0 is

    Text Solution

    |

  21. Distance between the pair of lines represented by the equation x^(2)–...

    Text Solution

    |