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What are the properties of tangents?

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For Parabola, square of y = 4ax, The equation of tangent, y=mx+(a/m), m=gradient, the tangent always touches at one point of the parabola.
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Programming Passionate

Tangent to a curve touches the curve only at one point.
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First derivative of the equation of the curve can give you slope of the tangent at that point.
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