Question 20.11.2: If the origin is shifted to the point (2,3), the coordinates......

Let the original coordinates be P(x, y) .

Let the origin O be shifted to the new point O^{\prime}(h, k) , where h=2 and k=3 .

Then, the new coordinates of P are \left(x^{\prime}, y^{\prime}\right) , where x^{\prime}=5 and y^{\prime}=-4 .

Now, x^{\prime}=x-h \Rightarrow   5=x-2  \Rightarrow   x=7 .

And, y^{\prime}=y-k  \Rightarrow  -4=y-3  \Rightarrow   y=-1 .

Hence, the original coordinates are (7,-1) .