A ray of light passing through the pointegral A(1, 2) is ref... | MATH - FOOT OF PERPENDICULAR, TRANSFORMATION, PEDAL | SolveeIt | Solveeit

Today, August 18

Question

A ray of light passing through the point A(1, 2) is reflected at a point B on the x-axis and then passes through (5, 3). Then the equation of AB is

A

5x + 4y = 13

B

5x – 4y = –3

C

4x + 5y = 14

D

4x – 5y = – 6

Answer

4x – 5y = – 6

Explanation

Solution

\ Let B point is (h, 0)

\ Reflection of A is (1, –2)

\ Slope of SB = slope of PS

$\frac{2}{h - 1}$ = $\frac{5}{4}$ Ž $\frac{8}{5}$ + 1 = h Ž h = 13/5

Now find equation of AB