alleryEquation of tangent to parabola y² = 4ax at point (at², 2at):
Ay = mx + c
By = 2ax
Cx + y = at
Dty = x + at² (tangent in parametric form)
Answer & Solution
Correct answer: D. ty = x + at² (tangent in parametric form)
At parameter t, point (at², 2at) on y² = 4ax. Tangent: ty = x + at². Slope m = 1/t.
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