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Question
If the origin is shifted to the point O'(2, 3), the axes remaining parallel to the original axes, find the new co-ordinates of the points A(1, 3)
Solution
Origin is shifted to (2, 3) = (h, k)
Let the new co-ordinates be (X, Y).
∴ x = X + h and y = Y + k
∴ x = X + 2 and y = Y + 3 …(i)
Given, A(x, y) = A(1, 3)
x = X + 2 and y = Y + 3 ...[From (i)]
∴ 1 = X + 2 and 3 = Y + 3
∴ X = – 1 and Y = 0
∴ the new co-ordinates of point A are (– 1, 0)
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