Home
Class 12
MATHS
A ray of light along x+sqrt(3)y=sqrt(3) ...

A ray of light along `x+sqrt(3)y=sqrt(3)` gets reflected upon reaching x-axis, the equation of the reflected ray is

A

`y=x+sqrt(3)`

B

`sqrt(3)y =x-sqrt(3)`

C

`y =sqrt(3)x-sqrt(3)`

D

`sqrt(3)y= x-1`

Text Solution

Verified by Experts

The correct Answer is:
B
`"Slope of " x+sqrt(3)y = sqrt(3) is -(1)/(sqrt(3)) = m_(1)` (let)

So, tan `theta = -(1)/(sqrt(3))`
`theta = 150^(@)`
So, slope of reflected ray `="tan" 30^(@) = (1)/(sqrt(3))`
So, equation of reflected ray is
`y-0 = (1)/(sqrt(3))(x-sqrt(3))`
`"or " sqrt(3) y =x-sqrt(3)`
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE|Exercise JEE Advanced Previous Year|4 Videos

  • STRAIGHT LINES

    CENGAGE|Exercise Exercise (Numerical)|13 Videos

  • STRAIGHT LINE

    CENGAGE|Exercise Multiple Correct Answers Type|8 Videos

  • THEORY OF EQUATIONS

    CENGAGE|Exercise JEE Advanced Previous Year|9 Videos

Similar Questions

Explore conceptually related problems

A ray of light is sent through the point P(1,2,3) and is reflected on the XY plane. If the reflected ray passes through the point Q(3,2,5) then the equation of the reflected ray is

Aray of light passing through the point(1, 2) reflects on the x-axis at point A and the reflected ray passes through the point (5,3). Find the coordinates of A.

A beam of light is sent along the line x-y=1 , which after refracting from the x-axis enters the opposite side by turning through 30^0 towards the normal at the point of incidence on the x-axis. Then the equation of the refracted ray is (a) (2-sqrt(3))x-y=2+sqrt(3) (b) (2+sqrt(3))x-y=2+sqrt(3) (c) (2-sqrt(3))x+y=(2+sqrt(3)) (d) y=(2-sqrt(3))(x-1)

If incident ray from point (-2,4) parallel to the axis of the parabola y^(2)=4x strikes the parabola, then find the equation of the reflected ray.

If incident from point (-1,2) parallel to the axis of the parabola y^2=4x strike the parabola, then find the equation of the reflected ray.

If a ray of light incident along the line 3x+(5-4sqrt(2))y=15 gets reflected from the hyperbola (x^2)/(16)-(y^2)/9=1 , then its reflected ray goes along the line. xsqrt(2)-y+5=0 (b) sqrt(2)y-x+5=0 sqrt(2)y-x-5=0 (d) none of these

A ray of light travels along a line y=4 and strikes the surface of curves y^2=4(x+y)dot Then the equations of the line along which of reflected ray travels is x=0 (b) x=2 (c) x+y (d) 2x+y=4

A ray of light moving parallel to the X-axis gets reflected from a parabolic mirror whose equation is (y-2)^2=4(x+1) . After reflection , the ray must pass through the point

A parabola mirror is kept along y^2=4x and two light rays parallel to its axis are reflected along one straight line. If one of the incident light rays is at 3 units distance from the axis, then find the distance of the other incident ray from the axis.