Question

A thin particle moves from $(0,1)$ and gets reflected upon hitting the x-axis at $(√3,0)$. Then the slope of the reflected line is ?

• A. $\dfrac{1}{√3}$
• B. $\dfrac{-1}{√3}$
• C. ${√3}$
• D. $-{√3}$

Answer 1

Answer: (B)

$\dfrac{-1}{√3}$

Answer 2

Given that :

Since the particle gets reflected upon hitting the x-axis, the angle of incidence is equal to the angle of reflection.

(In other words, the angle the particle makes with the x-axis before hitting the x-axis is the same as the angle it makes with the x-axis after reflection.)

The initial position of the particle is $(0, 1)$ and the point where it gets reflected is $(√3, 0)$. The slope of the line connecting these two points is given by:

$m=\dfrac{0-1}{√3-0} =\dfrac{-1}{√3}$

Hence Slope of the line is $\dfrac{-1}{√3}$ ..(Ans.)