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Terms. Equation of parabola yy = 4ax. Vertex. Equation of Chord y(y1+y2)=4ax+y1y2. Axis. y2-->y1. Focal chord. Focus. Latus rectum. Parabola. Tangent at P y1y = 2a(x+x1). Normal. Normal at P y - y1 = -y1/2a(x - x1). Tangents. Tangent at t y = x/t+at.
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Terms Equation of parabola yy = 4ax Vertex Equation of Chord y(y1+y2)=4ax+y1y2 Axis y2-->y1 Focal chord Focus Latus rectum Parabola Tangent at P y1y = 2a(x+x1) Normal Normal at P y - y1 = -y1/2a(x - x1) Tangents Tangent at t y = x/t+at k = h/t + t and solve t Condition for tangency c = a/m Normal at t y + tx = 2at + at^3 Tangent from P(h, k) k = mh + a/m and solve m. Equation of tangent with m y = mx + a/m