Transformation | Reflection on Y-Axis Followed by Reflection on X=Y | Class 10 Optional Mathematics

Описание: Welcome to Everest Online Academy! In this video, we explore Combined Transformations , specifically Reflection on the Y-Axis followed by Reflection on X=Y , a key topic in the Class 10 Optional Mathematics syllabus under the chapter Transformation . Understanding how to perform these transformations step-by-step is crucial for scoring well in your SEE exams. Whether you're struggling with formulas or need help solving numerical problems, this video will guide you with clear explanations and solved examples.

✅ What You’ll Learn in This Video:

Introduction to Transformation :
What are Transformations? (Definition and Types)
Types of Transformations:
Reflection: Flipping a shape over a line.
Rotation: Turning a shape around a point.
Translation: Moving a shape without changing its size or orientation.
Enlargement: Scaling a shape up or down from a center of enlargement.
Key Concepts :
Reflection on the Y-Axis :
Formula:
(x,y)→(−x,y)
The x-coordinate changes sign, while the y-coordinate remains the same.
Reflection on X=Y :
Formula:
(x,y)→(y,x)
The x-coordinate and y-coordinate swap places.
Combined Transformation :
Steps:
Perform the first transformation (e.g., reflection on the Y-Axis).
Use the result as input for the second transformation (e.g., reflection on X=Y).
Repeat for additional transformations if needed.
Matrix Representation of Transformations :
Reflection on Y-Axis:
[
−1
0
​

0
1
​
]
Reflection on X=Y:
[
0
1
​

1
0
​
]
Combined Transformation: Multiply the matrices in the correct order.
Step-by-Step Solutions to SEE Past Year Questions :
Solving numerical problems involving combined transformations.
Application of concepts in real exam questions.
Common Mistakes to Avoid While Solving Combined Transformation Problems
Tips to Score Full Marks in Transformation Questions
Practice Exercises for Better Understanding
💡 Why Watch This Video?
The Transformation chapter is a frequently tested topic in the Class 10 Optional Mathematics exam, especially combined transformations like reflection on the Y-Axis followed by reflection on X=Y. By mastering these calculations, you can confidently tackle exam questions and secure full marks in this section. This video simplifies the theory, provides solved examples, and includes practical tips to ensure you’re fully prepared.

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💬 Let’s Discuss:
Have any doubts or questions about Combined Transformations, Reflections, or related topics? Drop them in the comments below, and we’ll get back to you as soon as possible. Also, let us know what other topics or SEE questions you’d like us to cover in future videos.

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