First slide

Equation of line in Straight lines

Question

Symmetric form of the line passing through (1, 7) and having slope 1 is

Easy

A

$\frac{x - 1}{\frac{1}{\sqrt{2}}} = \frac{y - 7}{\frac{1}{\sqrt{2}}}$
B

$\frac{x - 1}{\sqrt{2}} = \frac{y - 7}{\sqrt{2}}$
C

$x = y = \frac{1}{\sqrt{2}}$
D

$x - y = \sqrt{2}$

Solution

$s l o p e o f t h e g i v e n l i n e = \tan θ = 1 \Rightarrow θ = \frac{π}{4} S y m m e t r i c f o r m o f t h e l i n e i s \frac{x - x_{1}}{\cos θ} = \frac{y - y_{1}}{\sin θ} \Rightarrow \frac{x - 1}{\frac{1}{\sqrt{2}}} = \frac{y - 7}{\frac{1}{\sqrt{2}}}$

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