Q. 44.4( 18 Votes )
Find the slopes of a line
(i) which bisects the first quadrant angle
(ii) which makes an angle of 300 with the positive direction of y - axis measured anticlockwise.
Answer :
(i) Given, Line bisects the first quadrant
To Find: Find the slope of the line.
Here, If the line bisects in the first quadrant, then the angle must be between line and the positive direction of x - axis .
Since, Angle = 
The formula used: The slope of the line, m = tan θ
Similarly, The slope of the line for a given angle is m = tan 45
m = 1
Hence, The slope of the line is 1.
(ii) To Find: Find the slope of the line.
Here, The line makes an angle of 30o with the positive direction of y - axis (Given)
Since Angle between line and positive side of axis = 90o + 30o = 120o
The formula used: The slope of the line, m = tan θ
Similarly, The slope of the line for a given angle is m = tan 120o
m = – √3
Hence, The slope of the line is – √3 .
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