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

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प्रश्न

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

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उत्तर

If a line makes an angle of 30° with the positive direction of the y-axis measured anticlockwise, then the angle made by the line with the positive direction of the x-axis measured anticlockwise is 90° + 30° = 120°.

Thus, the slope of the given line is tan 120° = tan (180° – 60°) = –tan 60° = `-sqrt3`

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अध्याय 9: Straight Lines - EXERCISE 9.1 [पृष्ठ १५९]

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एनसीईआरटी Mathematics [English] Class 11
अध्याय 9 Straight Lines
EXERCISE 9.1 | Q 7. | पृष्ठ १५९

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