Class 12

Math

Calculus

Application of Derivatives

A particle moves along the parabola $y=x_{2}$ in the first quadrant in such a way that its x-coordinate (measured in metres) increases at a rate of 10 m/sec. If the angle of inclination $θ$ of the line joining the particle to the origin change, when x = 3 m, at the rate of k rad/sec., then the value of k is

- 1
- 2
- $1/2$
- $1/3$