Straight LineHardBloom L3
Question
Suppose that a ray of light leaves the point $(3,4)$, reflects off the $y$-axis towards the $x$-axis, reflects off the $x$-axis, and finally arrives at the point $(8,2)$. The value of $x$, is :
Options
A.$x = 4\frac{1}{2}$
B.$x = 4\frac{1}{3}$
C.$x = 4\frac{2}{3}$
D.$x = 5\frac{1}{3}$
Solution
Sol. [Key Concept: Repeated reflections off the axes: unfold by reflecting the final point, then take the straight-line path.]
$$\frac{0 + 2}{x - 8} = \frac{4 + 2}{- 3 - 8} = - \frac{6}{11}$$
$$x = \frac{13}{3}$$
Create a free account to view solution
View Solution FreeMore Straight Line Questions
A straight line $L$ drawn through the point $A(1,2)$ intersects the line $x + y = 4$ at a distance of $\frac{\sqrt{6}}{3...If the vertices P, Q, R a triangle PQR are rational points, which of the golloeing points of the triangle PQR is / (are)...The foot of the perpendicular drawn from the point (7, 8) to the line 2x + 3y − 4 = 0 is -...The straight lines x + y = 0,3x + y - 4 = 0 x + 3y - 4 = 0 form a triangle which is...In , let L be a straight line passing through the origin. Suppose that all the points on L are at aconstant distance fro...