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

Find the equation of a line which makes an angle of `tan^(-1)(3)` with the x-axis and cuts off and intercept of 4 units on negative direction of y-axis.

Text Solution

Verified by Experts

The equation which makes an angle of ` tan^-1(3)` with the x axis and cuts off an intercept of 4 units on the negative direction of y-axis
By using the formula,
Line = ` y=mx+c`
And `tantheta=3=m`
...
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 a line making an angle of 150^(@) with the x -axis and cutting off an intercept 2 from yaxis.

Find the equation of a straight line which makes an angle of tan ^(-1)sqrt(2) with the x -axis and cuts off an intercept of =(3)/(sqrt(2)) with the y axis

Find the equation of the line which makes an angle of 75^0 with x-axis and cuts an intercept of length 3 on the positive direction of y-axis.

Find the equation of a line with slope -1 and cutting of fan intercept of 4 units on negative direction of y -axis.

Find the equation of the straight line which makes an angle of 15^(@) with the positive direction of x-axis and which cuts and intercept of length 4 on then negative direction of y-axis.

Find the equation of a line which is perpendicular to the line sqrt(3)x-y+5=0 and which cuts of an intercept of 4 units with the negative direction of y-axis.

Find the equation of a line wiith slope -1 and cutting off an intercept of 4 units on negative direction of (a) x-axis (b) y-axis

The equation of the straight line which makes angle of 15^(@) with the positive direction of x-axis and which cuts an intercept of length 4 on the negative direction of y-axis, is

The equation of a straight line which makes an angle 45^(@) with the x-axis with y-intercept 101 units is :

RD SHARMA-THE STRAIGHT LINES -Solved Examples And Exercises
  1. Find the equation of a straight line: with slope -2 and intersecting ...

    Text Solution

    |

  2. Find the equation of a straight line: with slope -1/3 and y-intercept ...

    Text Solution

    |

  3. Find the equation of a line which makes an angle of tan^(-1)(3) with t...

    Text Solution

    |

  4. Find the equation of a line which is perpendicular to the line joining...

    Text Solution

    |

  5. Find the equation of the perpendicular to the segment joining (4,3) an...

    Text Solution

    |

  6. Find the equation of the straight line interesting y-axis at a distanc...

    Text Solution

    |

  7. Find the equation a line passing through (2,-3) and inclined at an ...

    Text Solution

    |

  8. Determine the equation of line through the point (-4 -3) and parallel ...

    Text Solution

    |

  9. Find the equation of the line for which tantheta=1/2, where theta is t...

    Text Solution

    |

  10. The perpendicular from the origin to a line meets it at the point (-2,...

    Text Solution

    |

  11. Find the equation of the line passing through the point (0,1) making a...

    Text Solution

    |

  12. Two lines passing through the point (2,3) intersect each other at an ...

    Text Solution

    |

  13. Find the equation of the line passing through (-3,5) and perpendicular...

    Text Solution

    |

  14. A line perpendicular to the in segment joining the points (1,0) and ...

    Text Solution

    |

  15. Find the equation of the perpendicular bisector of the line segment ...

    Text Solution

    |

  16. Find the equation of the straight line passing through the point (6,2)...

    Text Solution

    |

  17. Find the equation the straight line passing through (-2,3) and incline...

    Text Solution

    |

  18. Find the equation of the line passing through (0,0) with slope mdot

    Text Solution

    |

  19. Find the equation of the line passing through (2,2sqrt(3)) and incline...

    Text Solution

    |

  20. Find the equation of the straight line which passes through the point ...

    Text Solution

    |