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 Class 11 CBSE maths question paper of annual school exam 2019-20

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The blog CBSE Class 11 Maths Question Paper Annual School Examination 2019-20 is based on the recently held 11 th class annual exam of mathematics. Studying last year’s maths paper will brush up your knowledge. In the 11 th class mathematics, you have a good chance to score excellent marks, if you revise your NCERT  mathematics book twice and thrice after you go through the whole of the book of NCERT mathematics, then you are needed to solve previous years papers to check yourself. The study of last year’s paper will boost your preparation of the exams and you also get an idea of the type of questions asked in the exams.

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CBSE Class 11 Maths Question Paper Annual School Examination 2019-20

Subject:Mathematics(041)

Class : XI

Time:3 Hrs                                                                                                                                  M.M:80


General Instruction:

1. All questions are compulsory:

 

2. The question paper consists of 36 questions divided into four sections- A, B, C and D. Section-A comprises of 20 questions of one mark each,Section-B comprises of 6 questions of two marks each. Section-C comprises of questions of four marks each and section-D comprises of 4 questions of six marks each.

 

3. All questions in section-A are to be answered in one word, one sentence, choose the correct answer and fill in the blanks or as per the exact requirement of the question.

 

4. There is no overall choice. However, internal choice has been provided in 3 questions of section-A, 2 questions of section B, 2 questions of Section-D. You have to attempt only one of the alternatives in all such questions.

 

5. The use of calculators is not permitted.


Section ‘A’

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In questions 1-10, Choose the correct answer from the given four options.

Q1. If A∩B = B then

(a) A ⊂ B                                                   (b) B ⊂ A

(c) A = Φ                                                  (d) B =Φ

Q2. The range of the function f(x) = | x – 1 | is :

(a) (–∞, 0)                                                 (b) [0, ∞)

(c) (0, ∞ )                                                    (d) R

Q3.An arc of the length 15 π cm subtends an angle of 3π/4 radian at centre of circle, the radius of the circle is:

(a) 10 cm                                                       (b) 20 cm

Q4. If      then the value of  | z | is :

(a) 1                                                                 (b) 1/2

(c) √3/2                                                         (d) None of these

Q5. The number of ways to arrange the letters of the word ‘CHEESE’ are:

(a) 120                                                          (b) 240

(c) 720                                                         (d) 6

11 MATHS 6

 

 

(a) 2                                                          (b)  3

(c) 4                                                           (d) 6

Q7. The number of terms in the expansion of   

(a) 0                                                      (b) 20

(c) 5                                                      (d) 6

(a) 0                                                       (b) –1

(c) 1                                                        (d) 1/2

 

Or

 

(a) 0                                                    (b)  1

(c) – 1                                                 (d) 2

Q9. Distance between the lines 5x +3y –7 = 0 and 15x +9y + 14 =0 is :

                                         

                                     

Q10. The angle between the lines 2x –y +3 = 0 and x + 2y + 3 = o is :

(a) 90º                                            (b) 60º

(c) 45º                                            (d) 30º

Or

If three points (8,1), (k, –4) and (2, –5) are collinear then the value of k is :

(a) 1                                                 (b) 2

(c) 3                                                 (d) –2

Q11.Fill in the blanks :

The eccenricity of the hyperbola 9x²–16y² = 144 is………..

Q12. φ’ ∩A = ………….

Q13. If A = {–1, 1} then number of elements in A × A× A is………..

Q14.The number of chords can be drawn through 21 points on a circle are…..

Q15. Cosec(–1410°) is………..

Q16. Write the equation of the line passing through the points (–2,3) and parallel to the line 3x – 4y +2 =0.

Q17. Write the negation of the following statement :

“π is not a rational number.”

Q18. Write the contrapositive of the following statement:

“If x is a prime number then x is odd .”

Q19. If A = {x : x = 2n, n ∈ N}, B = {x : x = 2n – 1, n ∈ N}. Find A ∩ B.

Q20.Find the argument of     

Or

Write the additive inverse of 6i – i√–49.

section B

Q21. If the origin is the centroid of the triangle PQR with vertices P(2a, 2, 6), Q(–4, 3h, –10) and R(8, 14, 2c), then find the values of a, b and c.

Q22. In the expansion of         which term is independent of x ?

Q23. How many 6-digit numbers can be formed from the digit o,1,3,5,7,9 which are divisible by 10 and no digit is repeated ?

Or

Find the domain of the function     

Share or study solution of 10 class maths question paper 2020

Q25. If U = {1,2,3,4,5,6,7,8,9}, B = {2,4,6,8}, C = {3,4,5,6}, D= {6,7,8,9}. Find.

(i) (B –C)’                                                (ii) (B ∩ D’)

Q26. Prove that cos 4x = 1 – 8 sin²x cos ²x.

Or

Find the general solution of     

SECTION ‘C’

Q27. Find the derivative of x tax with respect to x from the first principle.

Or

Q28. Find the equation of the ellipse with the major axis along the x-axis and passing through the points (4,3) and (–1,4).

Or

Find the equation of the circle passing through the points (2,3) and (–1,1) and whose centre is on the line x –3y –11 = 0.

Q29. Two students Mohit and Manoj appeared in the examination. The probability that Mohit will qualify the examination is 0.5 and Manoj will qualify the examination is 10. The probability that both will qualify the examination is 0.o5. Find the probability that

(i) Both Mohit and Manoj will not qualify the examination.

(ii) At least one of them will not qualify the examination.

Q30. Solve the following system of linear inequalities graphically x + 2y ≤ 8, 2x + y ≤ 8, x ≥ 0.

Q31.Convert the complex number      in polar form.

Q32. In a survey of 200 students of a school it was found that 120 study Mathematics, 90 study Physics and 70 study Chemistry, 40 study Mathematics and Physics, 30 study Physics and Chemistry, 50 study Chemistry and Mathematics and 20 non of these three subjects. Find the number of students who study all the three subjects.

Q33. Find the mean, variance and standard deviation for the following data:

C.I 30 – 40 40 – 50 50 – 60 60 – 70 70 – 80 80 – 90 90 – 100
Frequency 3 7 12 15 8 3 2

Q34. Prove that :     

Q35. Let S be the sum, P the product and R the sum of reciprocal of n terms in a G.P. Prove that .

Or

If A and G be A.M and G.M. respectively between two positive numbers. Prove that the numbers are

.

Q36. Using principle of mathematical induction for all n ∈ N. Prove that:

OR

Prove the following by the principle of mathematical induction for all n ∈ N.

NCERT Solutions of Science and Maths for Class 9,10,11 and 12

NCERT Solutions for class 9 maths

Chapter 1- Number System Chapter 9-Areas of parallelogram and triangles
Chapter 2-Polynomial Chapter 10-Circles
Chapter 3- Coordinate Geometry Chapter 11-Construction
Chapter 4- Linear equations in two variables Chapter 12-Heron’s Formula
Chapter 5- Introduction to Euclid’s Geometry Chapter 13-Surface Areas and Volumes
Chapter 6-Lines and Angles Chapter 14-Statistics
Chapter 7-Triangles Chapter 15-Probability
Chapter 8- Quadrilateral

NCERT Solutions for class 9 science 

Chapter 1-Matter in our surroundings Chapter 9- Force and laws of motion
Chapter 2-Is matter around us pure? Chapter 10- Gravitation
Chapter3- Atoms and Molecules Chapter 11- Work and Energy
Chapter 4-Structure of the Atom Chapter 12- Sound
Chapter 5-Fundamental unit of life Chapter 13-Why do we fall ill ?
Chapter 6- Tissues Chapter 14- Natural Resources
Chapter 7- Diversity in living organism Chapter 15-Improvement in food resources
Chapter 8- Motion Last years question papers & sample papers

NCERT Solutions for class 10 maths

Chapter 1-Real number Chapter 9-Some application of Trigonometry
Chapter 2-Polynomial Chapter 10-Circles
Chapter 3-Linear equations Chapter 11- Construction
Chapter 4- Quadratic equations Chapter 12-Area related to circle
Chapter 5-Arithmetic Progression Chapter 13-Surface areas and Volume
Chapter 6-Triangle Chapter 14-Statistics
Chapter 7- Co-ordinate geometry Chapter 15-Probability
Chapter 8-Trigonometry

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Chapter 1- Chemical reactions and equations Chapter 9- Heredity and Evolution
Chapter 2- Acid, Base and Salt Chapter 10- Light reflection and refraction
Chapter 3- Metals and Non-Metals Chapter 11- Human eye and colorful world
Chapter 4- Carbon and its Compounds Chapter 12- Electricity
Chapter 5-Periodic classification of elements Chapter 13-Magnetic effect of electric current
Chapter 6- Life Process Chapter 14-Sources of Energy
Chapter 7-Control and Coordination Chapter 15-Environment
Chapter 8- How do organisms reproduce? Chapter 16-Management of Natural Resources

NCERT Solutions for class 11 maths

Chapter 1-Sets Chapter 9-Sequences and Series
Chapter 2- Relations and functions Chapter 10- Straight Lines
Chapter 3- Trigonometry Chapter 11-Conic Sections
Chapter 4-Principle of mathematical induction Chapter 12-Introduction to three Dimensional Geometry
Chapter 5-Complex numbers Chapter 13- Limits and Derivatives
Chapter 6- Linear Inequalities Chapter 14-Mathematical Reasoning
Chapter 7- Permutations and Combinations Chapter 15- Statistics
Chapter 8- Binomial Theorem  Chapter 16- Probability

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NCERT Solutions for Class 11 Physics

Chapter 1- Physical World

chapter 3-Motion in a Straight Line

NCERT Solutions for Class 11 Chemistry

Chapter 1-Some basic concepts of chemistry

Chapter 2- Structure of Atom

NCERT Solutions for Class 11 Biology

Chapter 1 -Living World

NCERT solutions for class 12 maths

Chapter 1-Relations and Functions Chapter 9-Differential Equations
Chapter 2-Inverse Trigonometric Functions Chapter 10-Vector Algebra
Chapter 3-Matrices Chapter 11 – Three Dimensional Geometry
Chapter 4-Determinants Chapter 12-Linear Programming
Chapter 5- Continuity and Differentiability Chapter 13-Probability
Chapter 6- Application of Derivation CBSE Class 12- Question paper of maths 2021 with solutions
Chapter 7- Integrals
Chapter 8-Application of Integrals

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