Home
Class 12
MATHS
A ray of light passing through the point...

A ray of light passing through the point A(2, 3) reflected at a point B on line `x + y = 0` and then passes through (5, 3). Then the coordinates of B are

Text Solution

Verified by Experts

Let A' is image of `A(2,3)` on `x +y = 0`
`rArr A' = (-3,-2)`
Now, B is the point of intersection of PA' with `x +y = 0`
Equation of line PA' is `y - 3 = (5//8) (x-5)` or `5x - 8y -1 = 0`

`rArr B -= ((1)/(13),-(1)/(13))`
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE

    CENGAGE|Exercise Comprehension Type|3 Videos

  • STRAIGHT LINE

    CENGAGE|Exercise Multiple Correct Answers Type|8 Videos

  • STATISTICS

    CENGAGE|Exercise JEE Previous Year|10 Videos

  • STRAIGHT LINES

    CENGAGE|Exercise JEE Advanced Previous Year|4 Videos

Similar Questions

Explore conceptually related problems

A ray of light coming from the point (1,2) is reflected at a point A on the x-axis and it passes through the point (5,3). Find the co-ordinates of the point A.

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 ray of light passing through the point A(1,2,3) , strikews the plane x y+z=12a tB and on reflection passes through point C(3,5,9)dot Find the coordinate so point Bdot

A ray of light passing through the point A(1,2,3) , strikews the plane x+y+z=12a tB and on reflection passes through point C(3,5,9)dot Find the coordinate so point Bdot

A light ray emerging from the point source placed at P(2,3) is reflected at a point Q on the y-axis. It then passes through the point R(5,10)dot The coordinates of Q are (0,3) (b) (0,2) (0,5) (d) none of these

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

A line passing through the points (a,2a) and (-2,3) is perpendicular to the line 4x+3y+5=0 find the value of a.