📘 Trigonometry & Coordinate Geometry – CUET GT Notes Summary
Trigonometry and Coordinate Geometry are important topics in the Quantitative Aptitude section of the CUET General Test (GT). Trigonometry studies the relationship between the angles and sides of triangles, while Coordinate Geometry deals with the position of points and shapes on a coordinate plane. 📐📊
🔹 Trigonometry Basics
Trigonometry mainly focuses on the ratios between the sides of a right-angled triangle. These ratios are called trigonometric functions. 🔺
📌 Important Trigonometric Ratios
sin θ = Opposite / Hypotenuse
cos θ = Adjacent / Hypotenuse
tan θ = Opposite / Adjacent
📌 Important Identities
sin²θ + cos²θ = 1
tan θ = sin θ / cos θ
🔹 Coordinate Geometry Basics 📍
Coordinate Geometry studies points, lines, and shapes using the Cartesian coordinate system. Each point is represented as (x, y) on a plane formed by the x-axis and y-axis. 📈
📌 Important Formulas
Distance Formula:
Distance = √[(x₂ − x₁)² + (y₂ − y₁)²]
Midpoint Formula:
Midpoint = ((x₁ + x₂)/2 , (y₁ + y₂)/2)
Slope of a Line:
m = (y₂ − y₁) / (x₂ − x₁)
🔹 Example 💡
Find the midpoint of the points (2,4) and (6,8).
Midpoint = ((2+6)/2 , (4+8)/2)
Midpoint = (4 , 6) ✔️
🔹 CUET GT Preparation Tips 🎯
- Memorize important trigonometric ratios and identities.
- Practice solving distance, midpoint, and slope problems.
- Understand the coordinate plane and geometric relationships.
- Solve previous CUET quantitative aptitude questions regularly.
🚀 Mastering Trigonometry and Coordinate Geometry will help you solve many CUET GT quantitative aptitude questions quickly and improve your exam performance. 📚
Here are FAQs related to CUET and the General Test (GT) that you can use on a worksheet or study page.
1. What is CUET?
The Common University Entrance Test (CUET) is a national-level entrance exam conducted for admission to undergraduate programs in many central, state, and private universities across India.
2. What is the CUET General Test (GT)?
The CUET General Test is a section of the CUET exam that evaluates a student’s general aptitude, logical reasoning, quantitative ability, and general knowledge.
3. What topics are included in the CUET GT quantitative section?
The quantitative aptitude section of CUET GT usually includes topics such as percentages, ratios, averages, profit and loss, time and work, time and distance, and basic arithmetic calculations.
4. Is the General Test compulsory in CUET?
No, the General Test is not compulsory for all courses. It depends on the university and the program requirements. Some courses require it, while others only require language and domain subjects.
5. Why is the percentage topic important for CUET GT?
Percentage is a core arithmetic concept used in many aptitude questions. It also forms the basis for solving problems related to profit and loss, discounts, data interpretation, and ratios, which frequently appear in the CUET GT.
6. How can students prepare for the CUET General Test?
Students can prepare by studying basic concepts, solving practice worksheets, attempting mock tests, and regularly practicing aptitude questions related to the syllabus.
7. What type of questions appear in CUET GT?
CUET GT includes multiple-choice questions (MCQs) covering quantitative aptitude, logical reasoning, general awareness, and basic analytical skills.
8. How many questions are asked in the CUET General Test?
The number of questions may vary depending on the exam pattern, but students usually need to attempt a specific number of questions from a given set within a time limit.
9. Is there negative marking in CUET?
Yes, the Common University Entrance Test typically includes negative marking, where marks may be deducted for incorrect answers.
10. What is the best way to improve speed in CUET GT quantitative questions?
Regular practice, learning calculation shortcuts, and solving timed practice tests can help improve speed and accuracy.