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Transformations of Axes - Practice Questions & MCQ
Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main
Quick Facts
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4 Questions around this concept.
Solve by difficulty
Point lie on the line
is shifted in the direction perpendicular to the given line so that it meets
-axis at
, then
Concepts Covered - 0
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. Y’O’X’).
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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