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A curve CC has parametric equations x=3t+3tx=3t+\frac{3}{t} , y=3t−3ty=3t-\frac{3}{t}. Find the cartesian equation of CC.

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Full solution

Q. A curve CC has parametric equations x=3t+3tx=3t+\frac{3}{t} , y=3t−3ty=3t-\frac{3}{t}. Find the cartesian equation of CC.
  1. Write Equations: Write down the parametric equations.\newlinex=3t+3tx = 3t + \frac{3}{t}, y=3t−3ty = 3t - \frac{3}{t}
  2. Solve for t: Solve the equation for xx for tt.t=x−3t3t = \frac{x - \frac{3}{t}}{3}

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