Question

find coordinates of the point where image of an object kept at point (2,1) is formed wirh respect to the mirror kept along the line x+y-5=0​

Answer 1

Answer:

$\textbf{\:The image is (4,3)}$

Step-by-step explanation:

Find coordinates of the point where image of an object kept at point (2,1) is formed wirh respect to the mirror kept along the line x+y-5=0​

$\textbf{Formula used:}$

$\text{The image of the point (x_1,y_1) with respect to the line ax+by+c=0 is given by}$

$\boxed{\frac{x-x_1}{a}=\frac{y-y_1}{b}=\frac{-2(ax_1+by_1+c)}{a^2+b^2}}$

$\text{The image of the (2,1) with reaspect to x+y-5=0 is}$

$\frac{x-2}{1}=\frac{y-1}{1}=\frac{-2(1(2)+1(1)-5)}{1^2+1^2}$

$\implies\:x-2=y-1=\frac{-2(-2)}{2}$

$\implies\text{x-2=y-1=2}$

$\implies\text{x-2=2 and y-1=2}$

$\implies\text{x=4 and y=3}$

$\therefore\:\textbf{\:The image is (4,3)}$