Home
Class 11
MATHS
Find the equation of the straight line o...

Find the equation of the straight line on which the length of the perpendicular from the origin is `4` units and the line makes an angle of `120^0` with positive direction of `x-a xi sdot`

Text Solution

Verified by Experts

Let line AB makes `120^o` with x axis.
Such that,
`/_MAO = (180 – 120)^0 = 60^0`
And,
`/_MOA = 180 – (90 + 60) = 30^0`
So `theta = 30`
...
Promotional Banner

Topper's Solved these Questions

  • THE CIRCLE

    RD SHARMA|Exercise Solved Examples And Exercises|144 Videos
  • TRANSFORMATION FORMULAE

    RD SHARMA|Exercise Solved Examples And Exercises|145 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the straight line upon which the length of the perpendicular from the origin is 2 and this perpendicular makes an angle of 30^0 with the positive direction of y-axis (in clockwise direction .

Find the equation of the straight line upon which the length of perpendicular from origin is 3sqrt(2) units and this perpendicular makes an angle of 75^(@) with the positive direction of x- axis.

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 the straight line upon which the length of the perpendicular from the origin is 5 and the slope of this perpendicular is (3)/(4).

Find the equation of the straight line upon which the length of the perpendicular from the origin is 2 and the slope of this perpendicular is (5)/(12) .

The length of perpendicular from the origin to a line is 5 units and the line makes an angle 120^(@) with the positive direction of x-axis. The equation of the line is

Find the equation of the straight line on which the length of the perpendicular from the origin is 2 and the perpendicular makes an angle alpha with x -axis such that sin alpha=(1)/(3)

the length of the perpendicular from the origin to a line is 7 and a line makes an angle of 150^(@) with the positive direction of y -axis.then the equation of the line is:

RD SHARMA-THE STRAIGHT LINES -Solved Examples And Exercises
  1. A point moves such teat its distance from the point (4,0) is half that...

    Text Solution

    |

  2. Find the locus of a point which moves in such away that the square of ...

    Text Solution

    |

  3. Find the equation of the straight line on which the length of the p...

    Text Solution

    |

  4. Find the equation of the straight line upon which the length of the ...

    Text Solution

    |

  5. A line forms a triangle of area 54sqrt(3)s q u a r e units with the co...

    Text Solution

    |

  6. A straight canal is 4 1/2m i l e s from a place and the shortest route...

    Text Solution

    |

  7. Find the equation of the line on which the length of the perpendicular...

    Text Solution

    |

  8. Find the equation of the straight line on which the length of the p...

    Text Solution

    |

  9. Find the equation of a straight line on which the perpendicular from ...

    Text Solution

    |

  10. The slope of a straight line through A(3,2) i s 3//4 Find the coordin...

    Text Solution

    |

  11. Find the equation of the line through the point A(2,3) and making an a...

    Text Solution

    |

  12. If the straight line through the point (3,4) makes an angle pi/6 with ...

    Text Solution

    |

  13. The angle between the diagonals of a quadrilateral formed by the line...

    Text Solution

    |

  14. Find the equation of two straight lines which are parallel to x+7y+2=0...

    Text Solution

    |

  15. Show that the lines 4x+y-9=0,x-2y+3=0,5x-y-6=0 make equal intercepts o...

    Text Solution

    |

  16. Find the value of m for which the lines m x+(2m+3)y+m+6=0 and m x+(2m+...

    Text Solution

    |

  17. The sides A Ba n dA C of a triangle A B C are respectively 2x+3y=29a n...

    Text Solution

    |

  18. A line through A(-5,-4) meets the lines x+3y+2=0,2x+y+4=0a n dx-y-5=0 ...

    Text Solution

    |

  19. Explain BPT Theorem

    Text Solution

    |

  20. Transform the equation of the line sqrt(3)x+y-8=0 to (i) slope interce...

    Text Solution

    |