First slide

Equation of line in Straight lines

Question

Symmetric form of the line through (–2, 0) having slope ‘ $\frac{- 1}{\sqrt{3}}$ ’ is

Easy

A

$\frac{x + 2}{\cos \frac{5 π}{6}} + \frac{y}{\sin \frac{5 π}{6}} = 0$
B

$\frac{x + 2}{\cos \frac{5 π}{6}} = \frac{y}{\sin \frac{5 π}{6}}$
C

$\frac{x}{\cos \frac{5 π}{6}} + \frac{y + 2}{\sin \frac{5 π}{6}} = 0$
D

$\frac{x}{\cos \frac{5 π}{6}} - \frac{y + 2}{\sin \frac{5 π}{6}} = 0$

Solution

                  $(x_{1}, y_{1}) = (- 2, 0)$
                $\tan θ = - \frac{1}{\sqrt{3}}$

                $\Rightarrow θ = \frac{5 π}{6}$

                Eq of line is

                $\frac{x + 2}{\cos \frac{5 π}{6}} = \frac{y - 0}{\sin \frac{5 π}{6}}$

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