If x (t + 1)/(t - 1), y = (1 - t)/(t + 1), then show that y^2 - dy/dx = 0

Question

If \(x = \frac{t + 1}{t - 1}, y = \frac{1 - t}{t + 1},\) then show that y² - dy/dx = 0

If x (t + 1)/(t - 1), y = (1 - t)/(t + 1),

Answer 1

x (t + 1)/(t - 1), y = (1 - t)/(t + 1)

Differentiating both sides w.r.t. t, we get