Question

If the origin is shifted to (7,-4), then the coordinates of the point P(4, 5) will become .

• A. (-3, 9)
• B. (-3, -9)
• C. (3, 9)
• D. (3, -9)

Answer 1

The correct option is A (-3, 9)

Let (x, y) be the coordinates of the point P when the origin was (0, 0) and (X, Y) be the coordinates of P when
the origin is (7, -4).
We know that, X=x-h
$⟹$ X=4-7=-3
and Y=y-k
$⟹$ Y=5-(-4)=9
$⟹$ New coordinates of P will
be (-3, 9).