Question

When the origin is shifted to a point $P$, the point $(2,0)$ is transformed to $(0,4)$ then the co-ordinates of $P$ are

• A. $(2,-4)$
• B. $(-2,4)$
• C. $(-2,-4)$
• D. $(2,4)$

Answer 1

The correct option is A $(2,-4)$

Let the point $(x,y)$ changes to $(X,Y)$ on shifting the origin to $(h,k)$
$x=X+h,y=Y+k$
$2=0+h,0=4+k$
$\Rightarrow h=2,k=-4$
So, the coordinates of new origin P are (2,-4)