A particle starts at the origin and moves along the x-axis in such a way that its velocity at the point (x, 0) is given by the formula \(\dfrac{dx}{dt}=\cos^2 \pi x\). Then the particle never reaches the point on -

A particle starts at the origin and moves along the x-axis in such a w

1.	A particle starts at the origin and moves along the x-axis in such a way that its velocity at the point (x, 0) is given by the formula \(\dfrac{dx}{dt}=\cos^2 \pi x\). Then the particle never reaches the point on -
A.	\(x=\dfrac{1}{4}\)
B.	\(x=\dfrac{3}{4}\)
C.	\(x=\dfrac{1}{2}\)
D.	\(x=1\)
Answer» D. \(x=1\)

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A particle starts at the origin and moves along the x-axis in such a way that its velocity at the point (x, 0) is given by the formula \(\dfrac{dx}{dt}=\cos^2 \pi x\). Then the particle never reaches the point on -

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