sugastop
contestada

HELPPPPPP ASAP

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

HELPPPPPP ASAP 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 o class=

Respuesta :

Answer: 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.

The equation of the reflected line is y+x=6, the point lies on (2,4).

Given to us

y-x=4

What is the slope of two perpendicular lines?

Since it is given that the light and its reflection are intersecting each other at an angle of 90°, therefore, both the lines are perpendicular to each other.

We know that for two perpendicular lines, their slope is equal to each other, and their slopes will be negative and inverse.

[tex]y-x=4\\y=x+4\\[/tex]

Since the slope of the light ray is equal to 1, the slope of its inverse will be, -1.

Reflected ray,

[tex]y= -x+c\\y+x=c[/tex]

Therefore, the slope of the equation is y+x=c.

Substitute the point (1,5),

[tex]y+x\\= 5+1\\=6[/tex]

Therefore, the equation of the line will be y+x=6

What are the points that do not lie on the reflected ray.?

Since the point that does not satisfy this equation is (-2,-8), therefore, this point will not lie on the reflected ray.

Learn more about Reflection:

https://brainly.com/question/1878272

Otras preguntas