First year science students 5 chapter imp questions for maths 🤓🌟



🔢 Chapter 1: Sets, Relations and Functions


Important Questions:


1. Define a set and give examples. List different types of sets.



2. Prove: 



3. Find the domain and range of a function like 



4. If , find 



5. Types of functions – write definitions and one example each.





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✖️ Chapter 2: Trigonometric Functions


Important Questions:


1. Prove: 



2. Express sin(A ± B), cos(A ± B), and tan(A ± B)



3. Find general solution of: 



4. Solve: 



5. Graph of sin x and cos x — draw and explain periodicity.





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📈 Chapter 3: Limits and Derivatives


Important Questions:


1. Define limit. Prove 



2. Find 



3. Derivative of standard functions: 



4. Differentiate: , , 



5. Geometrical meaning of derivative.





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📐 Chapter 4: Straight Lines


Important Questions:


1. Derive the slope-intercept form of a straight line.



2. Find the equation of a line passing through (1, 2) and slope 3.



3. Prove that two lines are perpendicular using slopes.



4. Find angle between two lines given their slopes.



5. Find point of intersection of two lines.





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📊 Chapter 5: Statistics and Probability


Important Questions:


1. Define mean, median, and mode with formulas.



2. Find mean and standard deviation for given data.



3. Probability of drawing a card from a deck – various cases.



4. Probability problems using dice and coins.



5. Find probability: If a number is selected at random from 1 to 50, what's the chance it's divisible by 3 or 5 ?

 


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