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Home › AP EAPCET (Engineering) › Mathematics › Coordinate Geometry: Transformation of Axes › Which statement holds for a translation of axes …

Which statement holds for a translation of axes in the plane?

ABoth linear and rigid
BLinear map but not rigid
CNeither rigid nor linear
DRigid but not a linear map
Answer & Solution
Correct answer: D. Rigid but not a linear map
A shift of origin preserves distances (rigid) but the map x' = x - h is affine, not linear, when h or k is non-zero.
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