Question:

Angles made by the line with the positive direction of X-axis are given. Find the slope of these lines.

(1) 45°

(2) 60°

(3) 90°

Answer:

(1) Given angle made by line with positive direction of X axis, = 45˚.
Slope of the line ,m = tan
m = tan 45˚ = 1
Hence slope of the line is 1.

(2) Given angle made by line with positive direction of X axis, = 60˚.
Slope of the line ,m = tan
m = tan 60˚ = √3
Hence slope of the line is √3.

(3) Given angle made by line with positive direction of X axis, = 90˚.
Slope of the line ,m = tan
m = tan 90˚ = not defined
Hence slope of the line cannot be determined.

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