मराठी

Find the equation of a line which passes through the point (2, 3) and makes an angle of 30° with the positive direction of x-axis. - Mathematics

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प्रश्न

Find the equation of a line which passes through the point (2, 3) and makes an angle of 30° with the positive direction of x-axis.

बेरीज
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उत्तर

Here the slope of the line is m = tan θ

= tan 30°

= `1/sqrt(3)`

And the given point is (2, 3). 

Therefore, using point-slope formula of the equation of a line

We have y – 3 = `1/sqrt(3) (x - 2)`

or `x - sqrt(3y) + (3sqrt(3) - 2)` = 0.

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पाठ 10: Straight Lines - Solved Examples [पृष्ठ १६८]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
पाठ 10 Straight Lines
Solved Examples | Q 1 | पृष्ठ १६८
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