Question

The origin is shifted to the point (- 2, 1) the axes being parallel to the original axes . If the new co- ordinates of point A are (7, - 4) , then the old co -ordinates of point A​

Answer 1

Answer:

Then the old co -ordinates of point A is

(5,-3)

x = x2+x1 = 7-2 = 5

y = y2+y1 = -4+1 = -3

(x, y) = (5,-3)

Answer 2

The old coordinates of point A were (5, -3).

When we shift the origin from (0, 0) to (-2, 1), we effectively move the entire coordinate system 2 units to the right and 1 unit up.

Let's call the new coordinates of point A (x', y') and the old coordinates (x, y). To find the relationship between these coordinates, we need to apply the following transformation:

x' = x - (-2) = x + 2

y' = y - 1

We're given that the new coordinates of point A are (7, -4), so we can substitute these values into the above equations:

7 = x + 2

-4 = y - 1

Solving for x and y, we get:

x = 5

y = -3

Therefore, the old coordinates of point A were (5, -3).

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