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a ray of light is reflected from a mirror such that the reflected ray is perpendicular to the original ray, as shown in the diagram.

the equation of the reflected ray is ?

a y-x=6
b y+x=6
c -y+x=6
d y+x=5
e y-x=5

the point does not lie on the reflected ray.
a 2,4
b 4,2
c 8,-2
d -2,-8

Equation of reflected ray is

B y+x=6

The point that does not lie on the reflected ray is :D -2,-8

Step-by-step explanation:

The  equation of incident ray is y-x=4 .The equation can be written as y=x+4.

The slope of line is m=1 .Any reflected ray will be perpendicular to the incident ray.Slope of line perpendicular to line y-x= 4 is m=-1.( slope of perpendicular line is reciprocal with opposite sign).

The reflected ray is having a slope of m=-1 and passing through the point (1,5)

Equation of line in point slope form is y-5=-1(x-1)

Or y-5=-x+1

y+x=6.                      

The point that does lie on the reflected ray is :D (-2,-8)

as if =-2 and y=-8 then

y+x=-2-8=-10 which is not true as the equation of reflected ray is y+x=6.

Other points are true for y+x=6.

As A)(2,4) we have 2+4=6 True

B)(4,2) we have 4+2=6.True.

c) (8,-2) we have 8-2=6.True.

what he was saying is the first drop down is B. y+x=6 and the second drop down is D.(-2, -8)

2 and 1.

step-by-step explanation:

plug in each answer. 0 doesn't work, 1 does. so does 2. 4 doesn't:

0 = 1 is not true.

2 = 2 is true.

4 = 4 is true.

8 = 16 is not true.

hope this !