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The document contains question papers and guidelines for a mathematics unit test for Standard 11 students, based on a question bank. It includes a variety of questions covering different sections such as trigonometry and complex numbers. Here's a brief outline of the content:

### Key Points from the Document:

1. **Instructions for Evaluation:**
   - Schools can use the board's question bank for creating tests.
   - Each test has a specific format with sections A, B, C, and D, where students select a certain number of questions to answer.

2. **Question Paper Format:**
   - **Section A:** 25 questions, out of which 5 are to be answered (1 mark each).
   - **Section B:** 15 questions, out of which 3 are to be answered (2 marks each).
   - **Section C:** 15 questions, out of which 3 are to be answered (3 marks each).
   - **Section D:** 5 questions, out of which 1 is to be answered (5 marks).

3. **Sample Questions:**
   - Trigonometry: Conversion between radians and degrees, finding values of trigonometric functions like \( \cos(765^\circ) \) or \( \tan \theta \).
   - Complex Numbers: Converting complex numbers to standard form, calculating real and imaginary parts, and proving various properties.
   - Advanced Proofs: Questions involve proving identities and deriving specific results.

4. **Concepts Covered:**
   - **Trigonometry:** Relations between trigonometric ratios and functions, advanced trigonometric identities.
   - **Complex Numbers:** Real and imaginary parts, properties, and algebraic manipulation of complex numbers.
   - **Geometric Interpretation:** Questions on angles and properties related to circles and arcs.

5. **Evaluation Method:**
   - The document provides a structured approach for marking and evaluating the answers based on the difficulty and type of questions.

If you have specific questions about any part of the document or need explanations for particular problems, feel free to ask!

### Five Related Questions:
1. How do you convert between degrees and radians?
2. What is the standard form of a complex number?
3. How can you prove trigonometric identities using basic formulas?
4. What is the method to find the modulus and argument of a complex number?
5. How do you solve equations involving complex numbers?

### Tip:
When solving trigonometric or complex number problems, always start by identifying the quadrant of the angle or the properties of the complex number to choose the correct sign and formula.

The document contains question papers and guidelines for a mathematics unit test for Standard 11 students.

A comprehensive mathematics unit test for Standard 11 covering key concepts in trigonometry and complex numbers. The test includes degree to radian conversions, values of trigonometric functions, and solving complex number equations. Suitable for Standard 11 students, this test helps in understanding core mathematical ideas.

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