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The point on the curve y=x^(3) at which ...

The point on the curve `y=x^(3)` at which the tangent to the curve is parallel to the X-axis, is

A

`(2,2)`

B

`(3,3)`

C

`(4,4)`

D

`(0,0)`

Text Solution

Verified by Experts

The correct Answer is:
D
Given curve is `y=x^(3)`
`(dy)/(dx)=3x^(2)`
Since the tangent is parallel to `X-` axis.
`:.(dy)/(dx)=0implies3x^(2)=0impliesx=0` and then `y=0`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-APPLICATIONS OF DERIVATIVES-MHT CET CORNER
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