Deduce the equation of the tangent of a parabola y-4ax- y-mx-a-m-

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Deduce the eq...

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Deduce the equation of the tangent of a parabola y²=4ax ( y=mx+a/m)

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What's the equation of tangent to the parabola $y^{2} = 4 a x$ having a slope 'm'.

y = m x + c

y^{2} = 4 a (x + a)

y = m x - a m^{2}

x^{2} = 4 a y \forall m \in R

y = m x + c

x^{2} = 4 a y

y = m (x + a) + \frac{a}{m}

y^{2} = 4 a (x + a)

m

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