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Chapter 9: Q. 2 (page 632)

Find an equation for the line containing the origin that makes an angle of $30^{ο}$ with the positive x-axis.

Short Answer

Expert verified

$y = \frac{1}{\sqrt{3}} x$

Step by step solution

01

The given information is

makes an angle of $30$ ° with the positivex-axis.

02

Step 2. Using the standard equation of line i.e. y=mx+c

Since it contains origin, hence

$y = m x + c 0 = m (0) + c c = 0$

equation of line is

$y = m x$

03

Step 3. It makes an angle 30ο hence,

$m = \tan 30^{ο} m = \frac{1}{\sqrt{3}}$

equation of line is,

$y = m x y = \frac{1}{\sqrt{3}} x$

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