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Transformations of Axes - Practice Questions & MCQ
Updated on Sep 18, 2023 18:34 AM | #JEE Main
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6 Questions around this concept.
Solve by difficulty
If we translate the origin to $(-2,3)$ and find the old coordinate $(1,7)$ w.r.t new origin and axes. It will be
Concepts Covered - 1
Transformations of Axes
Transformations of Axes
Shifting of Origin
Point P has coordinate (x, y) in the original coordinate system, i.e. in xy-coordinate system.
If the new origin takes position as O’(h, k) with new x and y axes remaining parallel to old axes.
The coordinates of the point $P$ are now $(X, Y)=(x-h, y-k)$ w.r.t. the new coordinate system (i.e. $\left.Y^{\prime} O^{\prime} X^{\prime}\right)$.
Thus, $X=x-h$ and $Y=y-k$
Or, $x=X+h$ and $y=Y+k$
Note:
If the function $f(x, y)=0$ is with respect to original coordinate system, then the equation with respect to new coordinate system is $f(x+h, y+k)=0$.
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