+91-87964 74404
FlagBACK
Question icon
Grade 12Analytical Geometry

a ray of light travelling along the line x + y = 1 is inclined on the x axis and after refraction it enters the other side of the x axis by turning 15 degree away from the x axis. the equation of the line along which ythe refraction ray travels is

Profile image of Satyadip Mahapatra
10 Years agoGrade 12
Answers icon

2 Answers

Profile image of Riddhish Bhalodia
10 Years ago
I am assuming you have an idea about the basic principles of refraction.
Now have a look at the figure and it is pretty clear that the slope of the refracted line is
m = tan(180-60) = tan(120) = -\sqrt{3}
and we have the point where the line x+y=1 meets x axis i.e (1,0), the refracted line will also pass through the same point.
So now we have the standard point slope form given as
(y-y_1) = m(x-x_1)
we have the line as
y = -\sqrt{3}(x-1)
y + \sqrt{3}x = \sqrt{3}is the final answer
Profile image of Riddhish Bhalodia
10 Years ago
Sorry I missed the figure
I am assuming you have an idea about the basic principles of refraction. Now have a look at the figure and it is pretty clear that the slope of the refracted line is
m = tan(180-60) = tan(120) = -\sqrt{3}
and we have the point where the line x+y=1 meets x axis i.e (1,0), the refracted line will also pass through the same point. So now we have the standard point slope form given as
(y-y_1) = m(x-x_1)
we have the line as
y = -\sqrt{3}(x-1)
y + \sqrt{3}x = \sqrt{3}
is the final answer512-2130_2016-01-12-214300.jpg

Other Related Questions on analytical geometry

question mark
  • The locus of the point represented by x= t^2 +t+1 and y=t^-t+1 is 
analytical geometry
1 Answer Available

Last Activity: 4 Years ago

question mark
show that the centroids of the triangles of which three perpendiculars lie along the lines y=m1x,y=m2x,y=m3x lie on y(3+m2m3+m3m2+m1m2)=x(m1+m2+m3+3m1m2m3)
analytical geometry
1 Answer Available

Last Activity: 4 Years ago

question mark
show that the equation (ab-h²)(ax²+2hxy+by²+2gx+2fy)+af²+bg²-2fgh=0 represent a pair of straight lines and that these straight lines form a rhombus with the lines ax²+2hxy+by²=0
analytical geometry
1 Answer Available

Last Activity: 4 Years ago

question mark
A circle has its center on straight line 5x-2y+1=0 and cuts the x axis at two points whose absciasse are -5,3 find equation of the circle and it's radius. 
 
analytical geometry
1 Answer Available

Last Activity: 4 Years ago

question mark
Prove that ax^2+by^2+cz^2 +2ux+2vy+2wz+d=0 represent a cone if u^2/a+v^/b+w^2/c=d
analytical geometry
1 Answer Available

Last Activity: 4 Years ago