11th Class CBSE Mathematics Compartment Exam 2019-20
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February 17, 2020
11th Class, CBSE Question Papers, English
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11th Class CBSE Mathematics Compartment Exam 2019-20
School Name: Himalaya Public School, Sector 13, Rohini,
Delhi 110085
India
Time: 3 hours
Maximum Marks: 80
Class: 11th
Date: 14/02/2020
Subject: Mathematics
General Instructions:
- All questions are compulsory.
- This question paper consists of 36 questions divided into four sections – A, B, C and D.
- Section – A Comprises of 20 question of 1 marks each.
Section – B Comprises of 6 question of 2 marks each.
Section – C Comprises of 6 question of 4 marks each.
Section – D Comprises of 4 question of 6 marks each.
- There is no overall choice. However on internal choice has been Provided in there questions of 1 marks each, two questions of 2 marks each, two questions of 4 marks each and two questions of 6 marks each. You have to attempt only one of the alternative in all such questions.
- Use of calculator is not Permitted.
11th Class CBSE Mathematics Compartment: Section A
Question 1 – Question 10 are Multiple choice type questions. Select the correct option.
Question: 1. If A = {1, 2} then the number of elements in P (A) will be
- 4
- 2
- 0
- None of these
Question: 2. If A = {1, 2} and B = {3, 4} then number of subsets that A × B have is
- 16
- 4
- 2
- None of these
Question: 3. Value of sin 31π/3 is
- ½
- √3/2
- -1/2
- -√3/2
Question: 4. If a Card is dream from well shuffled Pack of cards then Probability of Not getting an ace is
- 1/13
- 12/13
- 1/52
- 4/5
Question: 5. Arithmetic Mean between 15 and 35 is
- 50
- 25
- 5√21
- 20
Question: 6. Slope of line making an angle 120° with Positive direction of x axis is
- √3
- 1/√3
- – √3
- -1/√3
Question: 7. Equation of Parabola with vertex at (0,0) and focus at (6,0) is
- y² = -24 x
- x² = 24 y
- x² = -24 y
- y² = 24 x
Question: 8. Distance between the points p(1, -3, 4) and Q = (-4, 1, 2) is
- 5√3 units
- 3√5 units
- 7 units
- 5 units
Question: 9. Event ‘A but not B’ is represented by which of the following
- A – B
- A – B¹
- B – A
- B – A¹
Question: 10. Range of greatest integer function is given by which of the following
- Z
- R
- W
- N
Question 11 to Question 15 (Fill in the blanks)
Question: 11. If (2x, y – x) = (y + 3, 0), then value of y is _______.
OR
Given set A = {2, 3, 4, 5, 6} and set B = {0, 1, 2, 3} write a relation R from A to B given by R = {(x, y): x + y = 8}.
Question: 12. Let U = {1, 2, 3, 4, 5, 6}, A = {2, 3} and B = {3, 4, 5} then A’ ∩B’ = ____.
Question: 13.
Question: 14. Find the center and Radius of the circle: 2x² + 2y² = 9
Question: 15. If E and F are events such that P(E) = 1/4, P(F) = 1/2 and P(E and F) = 1/8, then P(E or F) is _____.
Q. 16 to 20. Answer the following questions:
Question: 16. Find the value of sin 765°.
OR
Question: 17. Find the Multiplicative inverse of 2 + 3 i
OR
If Z1 = a + ib and Z2 = c + id are two complex Numbers. Then Find the Product Z1, Z2.
Question: 18. Find the equation of ellipse, if for are (± 3, 0) and a = 4.
Question: 19.
Question: 20. Find the equation of line through (-2, 3) with slope as -4.
11th Mathematics Compartment Exam: Section B
Question: 21. In a survey of 60 people, It was find that 25 people read newspaper H, 26 read newspaper T, 26 read newspaper I, 9 read both H and I, 11 read both H and T 8 read both T and I, 3 read all the three newspapers. Find the number of people who read only newspaper H.
Question: 22.
Question: 23. If P(n,r) = 336, C(n,r) =56 find n and r
OR
In how many ways can the litters of word ‘ASSASSINATION’ be arranged so that all the sir are to gather?
Question: 24. Find equation of straight line that passes through the point (3,4) and perpendicular to line 3x + 2y + 5 = 0.
OR
Find the distance of the point (-1, 1) from the line 12(x + 6) = 5(y – 2).
Question: 25. Find the ratio in which the YZ plane divides the line segment formed by joining the points (-2, 4, -1) and (3, -5, 8).
Question: 26. 4 Cards are drain from a well shuffled deck of 52 Cards. What is the probability of obtaining 3 kings and one are.
11th Mathematics Compartment Exam: Section C
Question: 27. Prove that Cos 20°. Cos 40°. Cos 60°. Cos 80° = 1/16.
OR
Find the general solution fer the following equation Cos 3x + Cosx – Cos 2x = 0.
Question: 28. Prove the following by Principle of Mathematical Induction fer all n ∈ N.
32n+2 – 8n – is divisible by 8.
OR
Prove the following by Principle of Mathematical Induction fer all n ∈ N.
Question: 29. Solve the following system of inequalities graphically
x + 2y ≤ 10, x + y ≥ 1, x – y ≤ 0, y ≥ 0, x ≥ 0.
Question: 30. Find the Sum of the series up to n terms
3 × 8 + 6 × 11 + 9 × 14 + ……..
Question: 31. Find the equation of the ellipse satisfying with given condition: Foci(0, + 4), e = 4/5
Question: 32. Find the derivatives of each of the following with respect to x: [2+2 Marks]
11th Mathematics Compartment Exam: Section D
Question: 33. Convert the complex number
in the polar form. [6]
[4 Marks]
(b) Solve the following quadratic equation x² – x + 2 = 0 [2 Marks]
Question: 34. (i) The coefficient of the (r – 1)th, rth and (r + 1)th terms in the expansion of (x + 1)n are in the ratio 1:3:5. Find n and r. [4 Marks]
(ii) Find the Middle term in the expansion of (3x – x³/6)6. [2 Marks]
Question: 35. (i) find the Coordinates of foot of Perpendicular from the point (2,3) to the line y = 3x + 4. [4 Marks]
(ii) Reduce the following equation into intercept form and find the intercepts on the axes
3x + 4y – 24 = 0 [2 Marks]
OR
(i) Find the equation of the lines through the prints (3,2) which makes an angle of 45° with the line x – 2y = 3 [4 Marks]
(ii) Find the angle between the lines √3x + y = 1 and x + √3y = 1 [2 Marks]
Question: 36. (i) Find the derivative of following from first principle f (x) = cos x. [4 Marks]
(ii) Evaluate: [2 Marks]