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Translation and Rotation of axes - Math, Class 11 Video Lecture

FAQs on Translation and Rotation of axes - Math, Class 11 Video Lecture

1. What is the concept of translation in the context of axes?

Ans. Translation of axes refers to the process of shifting the coordinate system in a specific direction without changing the orientation or shape of the coordinate axes. This transformation allows us to express the same points in a different coordinate system.

2. How does rotation of axes work in mathematics?

Ans. Rotation of axes involves rotating the coordinate system around the origin by a certain angle. This transformation changes the orientation of the coordinate axes while preserving the shape and size of the coordinate system. It allows us to express points in terms of new coordinates.

3. What are the applications of translation and rotation of axes?

Ans. Translation and rotation of axes have numerous applications in mathematics and other fields. In mathematics, they are used to simplify the representation of equations and geometric figures. They are also utilized in physics, engineering, computer graphics, and robotics for various purposes such as coordinate transformations and object manipulation.

4. Can translation and rotation of axes change the shape of a figure?

Ans. No, translation and rotation of axes do not change the shape of a figure. These transformations only modify the position and orientation of the coordinate system itself, not the underlying shape or structure of the figures represented within it. The shape remains the same, but its representation in terms of coordinates may change.

5. How can I perform translation and rotation of axes in practice?

Ans. To perform translation, you can simply add or subtract a constant value from each coordinate to shift the coordinate system in the desired direction. For rotation, you can use rotation matrices or formulas to calculate the new coordinates of points after rotating the axes by a specific angle. There are also software tools and programming libraries available that can perform these transformations automatically.

Text Transcript from Video

means origin exceeds our take y-axis
good
for they shall be okay also
which is equal to M - M plus BM - that
is equal to donation
state plus Ryder execute H + x - y equal
to k plus k -
maxi's
origin
where we do not change the origin but
rotate the coordinate X please let the
coordinates of B be a try
leopard do functional axis to X or Y be
perpendicular to X equal to X equal to Y
the axes are rotated
and angle theta D clockwise position B
to expand so that X Factor X is equal to
Y

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Sep 23, 2025 Last updated

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