Home
Class 11
MATHS
Find the angle between the following pai...

Find the angle between the following pairs of lines :
`(i) y=sqrt(3)x+1` and `y=(1)/(sqrt(3))x+2`
`(ii) y=x` and `y=1-x`
`(iii) 2x+3y=2` and `3x-2y=1`.

Text Solution

Verified by Experts

The correct Answer is:
`(i) 30^(@)` `(ii) 90 ^(@)` `(iii) 90^(@)`
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 angles between the pairs of straight lines: y=(2-sqrt(3))x+5\ a n d\ y=(2+sqrt(3))x-7.

Find the angle between the following pairs of lines : (i) x+2y-1=0 and 2x-y+3=0 (ii) y=5x+1 and y=-3x+2

Find the angle between the following pairs of lines : (i) x+2y-1=0 and 2x-y+3=0 (ii) y=5x+1 and y=-3x+2

Find the angles between the pairs of straight line x-y sqrt(3)=5 and sqrt(3)x+y=7

Find the angle between the lines y=(2-sqrt3)(x+5) and y=(2+sqrt3)(x-7) .

Find the angle between the lines x-2y+3=0 and 3x+y-1=0 .

The angle between the pair of lines 2x^(2)+5xy+2y^(2)-3x-3y+1=0 is

Find the angle between the lines sqrt(3)x+y=1 and x+sqrt(3)y=1

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

The angle between the pair of lines 3(x-4)^(2)+4sqrt(3)(x-4)(y+2)-2(y+2)^(2)=0 is

NAGEEN PRAKASHAN-STRAIGHT LINES-Exercise
  1. Prove that the lines 2x+5y=8 and 4x+10y-1=0 are parallel.

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. (i) Find the value of 'a' if the lines 3x-2y+8=0, 2x+y+3=0 and ax+3y+1...

    Text Solution

    |

  8. Find the equation of line joining origin to the point of intersection ...

    Text Solution

    |

  9. Find the equation of a line passing through origin and parallel to the...

    Text Solution

    |

  10. Find the equation of a line passing through origin and parallel to the...

    Text Solution

    |

  11. Find the equation of a line passing through the point (-1,-2) and para...

    Text Solution

    |

  12. Find the equation of a line passing through the intersection of the li...

    Text Solution

    |

  13. Find the equation of a line parallel to the line x cos alpha+ y sin al...

    Text Solution

    |

  14. Find the equation of a line passing through the point (-1,0) and perpe...

    Text Solution

    |

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

    Text Solution

    |

  16. Find the equation of a line passing through the point of intersection ...

    Text Solution

    |

  17. Find the length of perpendicular drawn from point (2,-1) to the line 3...

    Text Solution

    |

  18. Find the length of perpendicular drawn from origin to the line 12x-5y=...

    Text Solution

    |

  19. Find the length of perpendicular from the point (-1,-2) to the line x=...

    Text Solution

    |

  20. Find the length of perpendicular from origin to the line x+7y+4sqrt(2)...

    Text Solution

    |