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Find the equation of the line, if the perpendicular drawn from the origin makes an angle 30◦ with x-axis and its length is 12

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प्रश्न

Find the equation of the line, if the perpendicular drawn from the origin makes an angle 30° with x-axis and its length is 12

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उत्तर

Given length of the perpendicular p = 12

Angle made by the perpendicular α = 30°

The equation the straight line in the normal form is

x cos α + y sin α = p

∴ The required equation of the straight line is

x cos 30° + y sin 30° = 12

`x sqrt(3)/2 + y xx 1/2` = 12

`sqrt(3)x + y` = 24

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पाठ 6: Two Dimensional Analytical Geometry - Exercise 6.2 [पृष्ठ २६०]

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 6 Two Dimensional Analytical Geometry
Exercise 6.2 | Q 8 | पृष्ठ २६०
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