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Tangent to the curve y^2=x^3 at (1/4,1/8...

Tangent to the curve `y^2=x^3` at `(1/4,1/8)` again touches the curve at

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Statement 1: The tangent at x=1 to the curve y=x^3-x^2-x+2 again meets the curve at x=0. Statement 2: When the equation of a tangent is solved with the given curve, repeated roots are obtained at point of tangency.

Statement 1: The tangent at x=1 to the curve y=x^3-x^2-x+2 again meets the curve at x=0. Statement 2: When the equation of a tangent is solved with the given curve, repeated roots are obtained at point of tangency.