First year science students maths 5 chapter imp questions ๐Ÿ™€๐Ÿ˜Ž

 ๐Ÿ“˜ 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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๐Ÿ“˜ 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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๐Ÿ“˜ 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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๐Ÿ“˜ 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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๐Ÿ“˜ 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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