Question

If $(7,5)$ are the new coordinates of $P$ when origin is shifted to $(1,1)$, then the original coordinates of $P$ are

• A. $(8,6)$
• B. $(6,4)$
• C. $(4,3)$
• D. $(-6,-4)$

Answer 1

The correct option is A $(8,6)$

Let the origin be shifted to $(h,k)$
So, $(h,k)\equiv (1,1)$
New coordinates of $P(X,Y)=(7,5)$
Now, $x=X+h,y=Y+k$
$\Rightarrow x=7+1,y=5+1$
$\Rightarrow x=8,y=6$
$\therefore$ original coordinates of $P$ are $(8,6)$.