Question

assuming the straight line work as the plane mirror at a point find the image of the point (1,2)in the line x-2y+4=0​

Answer 1

Step-by-step explanation:

let (h,k) be image

(x

1

,y

1

)=(1,2) is given point

comparing x−3y+4=0 with

ax+by+c=0

We have ,

a=1b=−3c=4

By image theorem

a

h−x

1

=

b

k−y

1

=

a

2

+b

2

−2(ax

1

+by

1

+c)

⇒

1

h−1

=

−3

k−2

=

(1)

2

+(−3)

2

−2((1)(1)+(−3)(2)+4)

⇒h−1=

−3

k−2

=

10

−2(1−)

⇒h−1=

10

2

−3

k−2

=

10

2

⇒h=

5

6

k=

5

7

Image =(h,k)=(

5

6

,

5

7

)