Transformations of Axes MCQ - Practice Questions & Answers

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Quick Facts

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

A

$(3, 4)$

B

$(- 3, - 4)$

C

$(- 1, 10)$

D

$(5, 2)$

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. $Y^{'} O^{'} X^{'})$ .
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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Transformations of Axes

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Transformations of Axes

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Books

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Transformations of Axes

Mathematics for Joint Entrance Examination JEE (Advanced) : Coordinate Geometry

Page No. : 1.2

Line : 28

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