# Find What the Following Equation Become When the Origin is Shifted to the Point (1, 1). Xy − X − Y + 1 = 0 - Mathematics

Sum

Find what the following equation become when the origin is shifted to the point (1, 1).
xy − x − y + 1 = 0

#### Solution

Substituting $x = X + 1, y = Y + 1$ in the given equation, we get:
$\left( X + 1 \right)\left( Y + 1 \right) - \left( X + 1 \right) - \left( Y + 1 \right) + 1 = 0$
$\Rightarrow XY + X + Y + 1 - X - 1 - Y - 1 + 1$
$\Rightarrow XY = 0$
Hence, the transformed equation is  xy = 0.

Concept: Brief Review of Cartesian System of Rectanglar Co-ordinates
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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 22 Brief review of cartesian system of rectangular co-ordinates
Exercise 22.3 | Q 3.3 | Page 21