Home
Class 11
MATHS
Find the obtuse angle between the lines ...

Find the obtuse angle between the lines `x-2y+3=0\ a n d\ 3x+y-1=0.`

Text Solution

Verified by Experts

Slope of 1st line is `1/2`
slope of 2nd line is `3`
so,
`tantheta=(1/2+3)/(1-1/2xx3)`
`tantheta=7`
`theta=tan^(-1)(7)`
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 angle between the lines x-2y+3=0 and 3x+y-1=0 .

Find the acute angle between the lines 2x-y+3=0\ a n d\ x+y+2=0.

Find the angle between the lines x-2y+5=0 and x+3y-5=0 .

Find the equation of the bisector of the obtuse angle between the lines 3x-4y+7=0 and 12x+5y-2=0

The equation of the bisector of the obtuse angle between the lines x-2y+4=0 and 4x-3y+2=0 is

Find the acute angles between the st. Lines : 2x-y+3=0 and x+y-2=0

The equation of the line which bisects the obtuse angle between the line x-2y+4=0 and 4x-3y+2=0 is

The equation of the line which bisects the obtuse angle between the lines x - 2y + 4 = 0 and 4x - 3y + 2 = 0, is

RD SHARMA-THE STRAIGHT LINES -Solved Examples And Exercises
  1. Find the angles between the pairs of straight lines: x+sqrt(3)y-5=0\ a...

    Text Solution

    |

  2. Find the angles between the pairs of straight lines: y=(2-sqrt(3))x+5\...

    Text Solution

    |

  3. Find the obtuse angle between the lines x-2y+3=0\ a n d\ 3x+y-1=0.

    Text Solution

    |

  4. A line passing through the points (a ,\ 2a) and (-2,\ 3) is perpendicu...

    Text Solution

    |

  5. The hypotenuse of a right angled triangle has its ends at the points...

    Text Solution

    |

  6. Find the angles between each of the following pairs of straight line: ...

    Text Solution

    |

  7. Find the angles between each of the following pairs of straight line: ...

    Text Solution

    |

  8. Find the angles between each of the following pairs of straight line: ...

    Text Solution

    |

  9. Find the angles between each of the following pairs of straight line: ...

    Text Solution

    |

  10. Find the acute angle between the lines 2x-y+3=0\ a n d\ x+y+2=0.

    Text Solution

    |

  11. Prove that the points (2,-1), (0,2), (2,3) and (4,0) are the coordi...

    Text Solution

    |

  12. Find the angle between the line joining the points (2,0), (0,3) and th...

    Text Solution

    |

  13. If theta\ is the angle which the straight line joining the points (x1...

    Text Solution

    |

  14. Find the angle between the lines x=a\ a n d\ b y+c=0.

    Text Solution

    |

  15. Find the tangent of the angle between the lines which have intercepts ...

    Text Solution

    |

  16. Show that the line a^2x+a y+1=0 is perpendicular to the line x-a y=1 f...

    Text Solution

    |

  17. Show that the tangent of an angle between the lines x/a+y/b=1 and x/b-...

    Text Solution

    |

  18. Find the values of the parameter a so that the point (a, 2) is an inte...

    Text Solution

    |

  19. ermine whether the point (-3, 2) lies inside or outside the triangle w...

    Text Solution

    |

  20. Find the distance between the line 12 x-5y+9=0 and the point (2,1).

    Text Solution

    |