Question

If the origin is shifted to the point $(2,-3)$, the axes remaining parallel, find the new co-ordinates of the points
i) $(5,2)$ ii) $(2,-7)$ iii) $(3,-4)$ iv) $(-10,3)$ v) $(2,-3)$

Answer 1

Origin is shifted to $(2,-3)$=>Co-ordinatede $(x,y)$ will become $(x-2,y+3)$

So $\left(i\right)$ $(5,2)$ becomes $(5-2,2+3)=(3,5)$

$\left(ii\right)$$(2,-7)$ becomes $(2-2,-7+3)=(0,-4)$

$\left(iii\right)$$(3,-4)$ becomes $(3-2,-4+3)=(1,-1)$

$\left(iv\right)$$(-10,3)$ becomes $(10-2,3+3)=(8,6)$

$\left(v\right)$(2,-3) becomes $(2-2,-3+3)=(0,0)$