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

This article 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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**PDF CBSE 11 th class maths question paper 2020 SA-2**

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**COMMON ANNUAL SCHOOL EXAMINATION, 2019-20**

**Subject:Mathematics(041)**

**Class : XI**

**Time:3 Hrs ** **M.M:80**

*General Instruction:*

*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’**

**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

(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

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**CBSE MATHS SOLUTIONS YEAR 2020 QUESTION PAPERS**

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.

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