Home
Class 12
MATHS
A ray of light comes light comes along t...

A ray of light comes light comes along the line L = 0 and strikes the plane mirror kept along the plane P = 0 at B. `A(2, 1, 6)` is a point on the line L = 0 whose image about P = 0 is `A'`. It is given that L = 0 is `(x-2)/(3)= (y-1)/(4)= (z-6)/(5) and P =0 ` is `x+y-2z=3`.
If `L_(1) =0 ` is the reflected ray, then its equation is

A

`(x+10)/(4)= (y-5)/(4)= (z+2)/(3)`

B

`(x+10)/(3)= (y+15)/(5)= (z+14)/(5)`

C

`(x+10)/(4)= (y+15)/(5)=(z+14)/(3)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
c
The equation of the reflected ray `L_(1)=0` is the line joining `Q(x_(2), y_(2), z_(2)) and B(-10, -15, -14)`.
`" "(x+10)/(16)= (y+15)/(20) = (z+14)/(12)`
or `(x+10)/(4)= (y+15)/(5)= (z+14)/(3)`
Promotional Banner

Topper's Solved these Questions

  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE|Exercise Exercise (Matrix)|5 Videos

  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE|Exercise Exercise (Numerical)|10 Videos

  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE|Exercise Exercise (Reasoning Questions)|10 Videos

  • THREE DIMENSIONAL GEOMETRY

    CENGAGE|Exercise Question Bank|12 Videos

  • TRIGNOMETRIC RATIOS IDENTITIES AND TRIGNOMETRIC EQUATIONS

    CENGAGE|Exercise Question Bank|4 Videos

Similar Questions

Explore conceptually related problems

A ray of light comes light comes along the line L = 0 and strikes the plane mirror kept along the plane P = 0 at B. A(2, 1, 6) is a point on the line L = 0 whose image about P = 0 is A' . It is given that L = 0 is (x-2)/(3)= (y-1)/(4)= (z-6)/(5) and P =0 is x+y-2z=3 . The coordinates of B are

A ray of light comes light comes along the line L = 0 and strikes the plane mirror kept along the plane P = 0 at B. A(2, 1, 6) is a point on the line L = 0 whose image about P = 0 is A' . It is given that L = 0 is (x-2)/(3)= (y-1)/(4)= (z-6)/(5) and P =0 is x+y-2z=3 . The coordinates of A' are

Find the distance of the line 4x + 7y + 5 = 0 from the point (1, 2) along the line 2x - y = 0 .

Assuming that straight lines work as the plane mirror for a point, find the image of the point (1, 2) in the line x - 3y + 4 = 0 .

then image of the point (-1,3,4) in the plane x-2y=0

The incident ray is along the line 3x-4y-3=0 and the reflected ray is along the line 24 x+7y+5=0. Find the equation of mirrors.

Find the distance between the line (x+1)/(-3)=(y-3)/2=(z-2)/1 and the plane x+y+z+3=0.

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

If the line (x-2)/(3)=(y+1)/(2)=(z-1)/(-1) intersects the plane 2x+3y-z+13=0 at a point P and the plane 3x+y+4z=16 at a point Q, then PQ is equal to