First year science students maths 5 chapter imp questions ๐๐
๐ Chapter 1: Sets
Important Questions:
1. Define set. Give examples of different types of sets.
2. Difference between subset and proper subset.
3. Prove:
4. If , , find , , .
5. Draw Venn diagrams for:
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๐ Chapter 2: Relations and Functions
Important Questions:
1. Define relation and function with examples.
2. Difference between one-one, onto, and many-one functions.
3. Check whether the following relation is a function:
4. If , find ,
5. Domain and range of the function
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๐ Chapter 3: Trigonometric Functions
Important Questions:
1. Derive all trigonometric identities (e.g., )
2. Convert degree to radian and radian to degree.
3. Find the general solution of
4. Evaluate:
, ,
5. Graph of ,
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๐ Chapter 4: Principle of Mathematical Induction
Important Questions:
1. State the principle of mathematical induction.
2. Prove by induction:
3. Prove by induction:
for all
4. Prove:
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๐ Chapter 5: Complex Numbers
Important Questions:
1. Define imaginary and complex numbers.
2. Express in the form
3. Simplify:
4. Find the modulus and conjugate of
5. Solve:
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