Q.

A point is moving along the cubical parabola 12y=x3. The rate of ordinate is less than the rate of abscissa when

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a

x<−2  or  x>2

b

x=±2

c

−2

d

x=±4

answer is C.

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Detailed Solution

12y=x3⇒12dydt=3.x2⋅dxdt⇒4⋅dydt=x2⋅dxdt given dydtx2, x2<4, x∈(−2,2)
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A point is moving along the cubical parabola 12y=x3. The rate of ordinate is less than the rate of abscissa when