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Question -

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



Answer -

We know that, if a line makes an angle of 30° with the positivedirection of y-axis measured anti-clock-wise , then the angle made by the linewith the positive direction of x- axis measure anti-clock-wise is 90° + 30° =120°

Theslope of the given line is tan 120° = tan (180° – 60°)

= – tan 60°

= –3

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