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Find tangent and normal equations with a scale parameter

For x=a(1+1/t)x=a(1+1/t), y=a(t−1/t2)y=a(t-1/t^2), where a is constant and t≠0t\ne0, (i) find the normal at t=2t=2; (ii) find the tangent at (0,−2a)(0,-2a).

CJC · Lecture · Example 9

Use the point coordinates and derivative at the same parameter value.

Read the worked solution