Home
Class 11
MATHS
Find angles between the lines sqrt(3)x+...

Find angles between the lines `sqrt(3)x+y=1`and `x+sqrt(3)y=1`.

Text Solution

AI Generated Solution

To find the angles between the lines given by the equations \(\sqrt{3}x + y = 1\) and \(x + \sqrt{3}y = 1\), we will follow these steps: ### Step 1: Rewrite the equations in slope-intercept form To find the slopes of the lines, we will first rewrite both equations in the form \(y = mx + b\), where \(m\) is the slope. 1. For the first equation \(\sqrt{3}x + y = 1\): \[ y = -\sqrt{3}x + 1 ...
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    NCERT ENGLISH|Exercise MISCELLANEOUS EXERCISE|24 Videos
  • STRAIGHT LINES

    NCERT ENGLISH|Exercise EXERCISE 10.1|14 Videos
  • STRAIGHT LINES

    NCERT ENGLISH|Exercise EXERCISE 10.4|4 Videos
  • STATISTICS

    NCERT ENGLISH|Exercise EXERCISE 15.2|10 Videos
  • TRIGONOMETRIC FUNCTIONS

    NCERT ENGLISH|Exercise All Questions|110 Videos

Similar Questions

Explore conceptually related problems

Find the angle between the lines y-sqrt(3)x-5=0 and sqrt(3)y-x+6=0 .

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

Find the angle between the lines y=(2-sqrt(3))(x+5)andy=(2+sqrt(3))(x-7)

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

Find the distance between the parallel lines x+4sqrt(3)y+10=0 and x+4sqrt(3)y-18=0 .

Find the angle between the lines x+3y-8=0 and 2x-3y+6=0 .

Find the angles between the pairs of straight lines: x+sqrt(3)y-5=0\ a n d\ sqrt(3)x+y-7=0

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

The angle between lines y=(2-sqrt(3))x+5 and y=(2+sqrt(3))x+7 is

Find the angle between the lines x/1=y/2=z/3 and (x+1)/2=(y-3)/7=(z+2)/4

NCERT ENGLISH-STRAIGHT LINES-EXERCISE 10.3
  1. The line through the points (h, 3) and (4, 1) intersects the line 7x-9...

    Text Solution

    |

  2. Prow that the line through the point (x1, y1)and parallel to the line...

    Text Solution

    |

  3. Two lines passing through the point (2, 3) intersects each other at a...

    Text Solution

    |

  4. Find the equation of the right bisector of the line segment joining...

    Text Solution

    |

  5. Find the coordinates of the foot of perpendicular from the point (-1, ...

    Text Solution

    |

  6. The perpendicular from the origin to the line y = m x + cmeets it at...

    Text Solution

    |

  7. If p and q are the lengths of perpendiculars from the origin to the l...

    Text Solution

    |

  8. In the triangle ABC with vertices A (2, 3), B (4, -1) and C (1, 2), ...

    Text Solution

    |

  9. If p is the length of perpendicular from the origin to the line whose...

    Text Solution

    |

  10. Reduce the following equations into normal form. Find their perpendic...

    Text Solution

    |

  11. Reduce the following equations into intercept form and find their int...

    Text Solution

    |

  12. Reduce the following equations into slope intercept form and find th...

    Text Solution

    |

  13. Find equation of the line parallel to the line 3x - 4y + 2 = 0and pass...

    Text Solution

    |

  14. Find the distance between parallel lines(i) 15 x + 8y -34 = 0and 15 x...

    Text Solution

    |

  15. Find the points of the xaxis, whose distances from the line x/3+y/4=1...

    Text Solution

    |

  16. Find the distance of the point (1, 1)from the line 12(x + 6) = 5(y - ...

    Text Solution

    |

  17. Find angles between the lines sqrt(3)x+y=1and x+sqrt(3)y=1.

    Text Solution

    |

  18. Find equation of the line perpendicular to the line x - 7y + 5 = 0and ...

    Text Solution

    |