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RD Sharma - Mathematics

1. Sets

1. Sets
2. Relations
3. Functions
4. Measurement of Angles
5. Trigonometric Functions
6. Graphs of Trigonometric Functions
7. Values of Trigonometric Functions at Sum of Difference of Angles
8. Transformation Formulae
9. Values of Trigonometric Functions at Multiples and Submultiple of an Angles
10. Sine and Cosine Formulae and their Applications
11. Trigonometric Equations
12. Mathematical Induction
13. Complex Numbers
14. Quadratic Equations
15. Linear Inequations
16. Permutations
17. Combinations
18. Binomial Theorem
19. Arithmetic Progressions
20. Geometric Progressions
21. Some Special Series
22. Brief Review of Cartesian System of Rectangular Co-ordinates
23. The Straight Lines
24. The Circle
25. Parabola
26. Ellipse
27. Hyperbola
28. Introduction to 3-D Coordinate Geometry
29. Limits
30. Derivatives
31. Mathematical Reasoning
32. Statistics
33. Probability

Exercise 1.1

Exercise 1.2

1 A 1 B 1 C 1 D 1 E 1 F 1 G 1 H 1 I 2 3 A 3 B 3 C 3 D 3 E 3 F 4 5 6 7

Exercise 1.3

1 2 3 1 1 6 A 6 B 7 8 9

Exercise 1.4

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

Exercise 1.5

1 A 1 B 2 3 4 5 A 5 B 5 C 5 D 5 E 5 F 6 A 6 B

Exercise 1.6

1 2 A 2 B 2 C 2 D 2 E 2 F 3 A 3 B 4 A 4 B 4 C 5 A 5 B 5 C 5 D 6 A 6 B 7 A 7 B 8 9 10 11 12 A 12 B 13 14 A 14 B

Exercise 1.7

1 2 A 2 B 2 C 2 D 3 4 A 4 B 4 C 4 D 4 E

Exercise 1.8

1 2 3 4 5 A 5 B 5 C 6 7 8 9 A 9 B 10 11 12 13 A 13 B 14 A 14 B 15

Very Short Answer

1 2 3 4 5 6 7 8 9 10 11

MCQ

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Q. 23

Mark the correct

Class 11th RD Sharma - Mathematics 1. Sets

Answer :

Let U be the set of students which are interviewed by investigator

A be the set of students which take milk

B be the set of students which take coffee

C be the set of students which take tea

Then ,n(U)=100 ,n(A)=12, n(B)=5 ,n(C)=8

Also, (A⋂B⋂C) means students who drink all of three=10

(A⋂B) means students who drink milk and coffee =20-10=10

(B⋂C) means students who drink coffee and tea =20-10=10

(A⋂C) means students who drink milk and tea =25-10=15

A⋃B⋃C is the total of above =12+5+8+10+10+15+10=70

The number of students who didn’t take any drink =100-70=30

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