Question

If the origin is shifted to the point (2, 3), axes remaining parallel, then new co-ordinate of point (4,– 3) will be ______.

Options

• (2, 6)

• (– 2, 6)

• (2, – 6)

• (2, 3)

Answer 1

If the origin is shifted to the point (2, 3), axes remaining parallel, then new co-ordinate of point (4,– 3) will be (2, – 6).

Explanation:

(h, k) ≡ (2, 3), (x, y) = (4, – 3)

Using transfonnation equations, we get

X = x – h and Y = y – k

∴ X = 4 – 2 = 2, y = – 3 – 3 = – 6

∴ New co-ordinate= (2, – 6)