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Statement I Tangent drawn at the point (...

Statement I Tangent drawn at the point (0, 1) to the curve `y=x^(3)-3x+1` meets the curve thrice at one point only.
statement II Tangent drawn at the point `(1, -1)` to the curve `y=x^(3)-3x+1` meets the curve at one point only.

A

Statement I is true, Statement II is also true, Statement II is the correct explanation of Statement I.

B

Statement I is true, Statement II is also true, Statement II is not the correct explanation of Statement I

C

Statement I is true, Statement II is false

D

Statement I is false, Statement II is true

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