Question 20.11.3: At what point the origin be shifted, if the coordinates of a......
At what point the origin be shifted, if the coordinates of a point (4,5) become (3,7) ?
Step-by-Step
Let O^{\prime}(h, k) be the point to which the origin O be shifted.
Then, (x=4, y=5) and \left(x^{\prime}=3, y^{\prime}=7\right) .
Now, x^{\prime}=x-h \Rightarrow h=x-x^{\prime}=(4-3)=1 .
And, y^{\prime}=y-k \Rightarrow k=y-y^{\prime}=(5-7)=-2 .
Hence, the origin O must be shifted to the point O^{\prime}(1,-2) .
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