Answer : Let the new origin be (h, k) = (1, 1) Then, the transformation formula become:

x = X + 1 and y = Y + 1

Substituting the value of x and y in the given equation, we get xy – y2 – x + y = 0

Thus,

(X + 1)(Y + 1) – (Y + 1)2 – (X + 1) + (Y + 1) = 0

⇒ XY + X + Y + 1 – (Y2 + 1 + 2Y) – X – 1 + Y + 1 = 0

⇒ XY + X + Y + 1 – Y2 – 1 – 2Y – X + Y = 0

⇒ XY – Y2 = 0

Hence, the transformed equation is XY – Y2 = 0