Home
Class 11
MATHS
Find the slope of the line, which makes ...

Find the slope of the line, which makes an angle of `30^@`with the positive direction of yaxis measured anticlockwise.

Text Solution

AI Generated Solution

To find the slope of the line that makes an angle of \(30^\circ\) with the positive direction of the y-axis measured anticlockwise, we can follow these steps: ### Step 1: Understand the angle with respect to the x-axis The angle with the positive direction of the y-axis is given as \(30^\circ\). To find the angle with respect to the x-axis, we can subtract this angle from \(90^\circ\) (since the y-axis is at \(90^\circ\) to the x-axis). \[ \text{Angle with x-axis} = 90^\circ - 30^\circ = 60^\circ \] ...
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    NCERT|Exercise EXERCISE 10.2|20 Videos
  • STRAIGHT LINES

    NCERT|Exercise EXERCISE 10.5|2 Videos
  • STRAIGHT LINES

    NCERT|Exercise MISCELLANEOUS EXERCISE|24 Videos
  • STATISTICS

    NCERT|Exercise EXERCISE 15.2|10 Videos
  • TRIGONOMETRIC FUNCTIONS

    NCERT|Exercise EXERCISE 3.1|7 Videos

Similar Questions

Explore conceptually related problems

Find the slope of the line,which makes an angle of 30 with the positive direction of y-axis measured anticlockwise.

Find the slope of a line which makes an angle of 45^@ with the positive direction of Y-axis.

Write is the slope of the line which makes an angle of 60^(@) with positive direction of X-axis .

Find the slope of a line which makes an angle of 45^(@) with positive direction of X-axis.

Find the slope of a line which makes an angle of 45^@ with the negative direction of X-axis.

Find the slope of a line i.which bisects the first quadrant angle ii.which makes an angle of 30^(@) with the positive direction of y-axis measured anticlockwise.

Find the slope of the lines which makee an angle of 45^0 with the line x-2y=3

Find the slope of the lines which make an angle of 45^(@) with the line 3x-y+5=0

A line through the point A(2,0) which makes an angle of 30^(@) with the positive direction of X-axis is rotated about A in clockwise direction through an angle of 15^(@) . Then, the equation of the striaght line in the new position is