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A particle moves along the parabola {y}={x}^{{{2}}} in the fir

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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

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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

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Question Text	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
Answer Type	Video solution: 1
Upvotes	154