Question

A paricle starting from the origin (0,0) moves in a straight line in `(x,y)` plane. Its coordinates at a later time are `(sqrt(3),3)`. The path of the particle makes with the x-axis an angle of
A. `30^(@)`
B. `45^(@)`
C. `60^(@)`
D. `0^(@)`

Answer 1

Correct Answer - c
Slope of the path of the particle gives the measure of angle required.
Draw the situation as shown. OA represents the path of the particle starting from origin O(0,0). Draw a perpendicular from point A to x-axis. Let path of the particle makes an angle `theta` with the x-axis, then

`tan theta`=slope of line `OA=(AB)/(OB)=3/(sqrt(3))=sqrt(3)`
or `theta=60^(@)`