Question

If $(2,3)$ are the coordinates of a point $P$ in the new system when the origin is shifted to $(-3,7)$ then the original coordinates of $P$ are

• A. $(-1,10)$
• B. $(5,-4)$
• C. $(-5,4)$
• D. $(-1,5)$

Answer 1

The correct option is A $(-1,10)$

When the point $(x,y)$ changes to $(X,Y)$ on shifting the origin to $(h,k)$
Then, $x=X+h,y=Y+k$
$x=2-3,y=3+7$
$\Rightarrow x=-1,y=10$
So, the original coordinates are $(-1,10)$