Q. 94.5( 2 Votes )

# Find what the given equation becomes when the origin is shifted to the point (1, 1).

xy – x – y + 1 = 0

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 – x – y + 1 = 0

Thus,

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

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

⇒ XY = 0

Hence, the transformed equation is XY = 0

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