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The coordinates of the point (4,5) in th...

The coordinates of the point `(4,5)` in the new system, when its origin is shifted to `(3,7)` are

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Let O'(h,k) be the point to which the origin O be shifted. Then, `(x=4, y=5) and (x'=3,y'=7)`
`"Now",x'=x-h Rightarrow h=x-x'(4-3)=1`
`"And", y'=x-h Rightarrow k=y-y'=(5-7)=-2`
Hence the origin O must be shifted to the point O'(1,-2).
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