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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

• 4 Questions around this concept.

## Solve by difficulty

Point $\mathrm{P(a, b)}$  lie on the line $\mathrm{y=x+1 . P}$ is shifted in the direction perpendicular to the given line so that it meets $\mathrm{x}$-axis at $\mathrm{(\alpha, 0)}$, 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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