KENDRIYA VIDYALAYA SANGATHAN
HALF YEARLY EXAMINATION-2020
CLASS- XI SUB- MATHEMATICS
F.M.-80 TIME- 3HRS
INSTRUCTIONS :
1. This question paper contains two parts A and B. Each part is compulsory. Part A carries 24 marks
and Part B carries 56 marks
2. Part-A has Objective Type Questions and Part -B has Descriptive Type Questions
3. Both Part A and Part B have choices.
i) Part – A: 1. It consists of two sections- I and II.
a) Section I comprises of 16 very short answer type questions.
b). Section II contains 2 case studies. Each case study comprises of 5 case-based MCQs. An
examinee is to attempt any 4 out of 5 MCQs.
ii) Part – B: 1. It consists of three sections- III, IV and V.
a). Section III comprises of 10 questions of 2 marks each.
b). Section IV comprises of 7 questions of 3 marks each.
c). Section V comprises of 3 questions of 5 marks each.
4. Internal choice is provided in 3 questions of Section –III, 2 questions of SectionIV and 3 questions
of Section-V. You have to attempt only one of the alternatives in all such questions.
__________________________________________________________________________________
Q. NO. PART-A SECTION – I (16 qs ) Marks
1 Represent the set A= {1,4,9,…..,81,100} in set builder form. 1
OR
Is the set {xϵ R |1<x <2}, a finite or infinite set?
2 Are the following sets equal? 1
A={2,3} and B= { x| x is a solution of x2 – 5x + 6 = 0}
, 3 Write the set { xϵ R | -4 < x ≤ 6} as an interval. 1
𝑥 2 5 1
4 If ( + 1, y - 3 )= ( , ) ,then find the values of x and y. 1
3 3 3
Or
𝑓 (1.1)− 𝑓(1)
If f(x) = x2 , find
1.1−1
5 If A= {1,2,3} , B = {3,4} , C = {1,3,5} find A X ( B ∩ C ) . 1
6 Given set A= {a,b} , B= {1,2}. How many relations are possible from set 1
A to set B ?
19𝜋
7 Find the value of cosec ( - ). 1
3
Or
Find the value of tan 480°.
8 Convert (𝜋/9)𝑐 into degree measure. 1
9 If sin 𝜃 + 𝑐𝑜𝑠𝑒𝑐 𝜃 = 2, then find the value of sin 2 𝜃 + 𝑐𝑜𝑠𝑒𝑐 2 𝜃 . 1
10 Find the absolute value of the complex number 3 + 6i . 1
Or
9
Evaluate: √−4 x √− 4 .
11 If z = 2 +√3 i , then find z.𝑧̅ . 1
12 If 4 x + i(3x – y) = 3 – 6i ,then find the value of x and y. 1
4
13 Express 𝑖 3 in (a + ib) form. 1
14 5 < 6, 13 <19 etc are examples of _________ inequalities. 1
15 If x > 5 and x > 2, then x ϵ ( 5, ∞ ) . This is true/ false . 1
or
If x > 7, then – x < - 7. This is true/false.
HALF YEARLY EXAMINATION-2020
CLASS- XI SUB- MATHEMATICS
F.M.-80 TIME- 3HRS
INSTRUCTIONS :
1. This question paper contains two parts A and B. Each part is compulsory. Part A carries 24 marks
and Part B carries 56 marks
2. Part-A has Objective Type Questions and Part -B has Descriptive Type Questions
3. Both Part A and Part B have choices.
i) Part – A: 1. It consists of two sections- I and II.
a) Section I comprises of 16 very short answer type questions.
b). Section II contains 2 case studies. Each case study comprises of 5 case-based MCQs. An
examinee is to attempt any 4 out of 5 MCQs.
ii) Part – B: 1. It consists of three sections- III, IV and V.
a). Section III comprises of 10 questions of 2 marks each.
b). Section IV comprises of 7 questions of 3 marks each.
c). Section V comprises of 3 questions of 5 marks each.
4. Internal choice is provided in 3 questions of Section –III, 2 questions of SectionIV and 3 questions
of Section-V. You have to attempt only one of the alternatives in all such questions.
__________________________________________________________________________________
Q. NO. PART-A SECTION – I (16 qs ) Marks
1 Represent the set A= {1,4,9,…..,81,100} in set builder form. 1
OR
Is the set {xϵ R |1<x <2}, a finite or infinite set?
2 Are the following sets equal? 1
A={2,3} and B= { x| x is a solution of x2 – 5x + 6 = 0}
, 3 Write the set { xϵ R | -4 < x ≤ 6} as an interval. 1
𝑥 2 5 1
4 If ( + 1, y - 3 )= ( , ) ,then find the values of x and y. 1
3 3 3
Or
𝑓 (1.1)− 𝑓(1)
If f(x) = x2 , find
1.1−1
5 If A= {1,2,3} , B = {3,4} , C = {1,3,5} find A X ( B ∩ C ) . 1
6 Given set A= {a,b} , B= {1,2}. How many relations are possible from set 1
A to set B ?
19𝜋
7 Find the value of cosec ( - ). 1
3
Or
Find the value of tan 480°.
8 Convert (𝜋/9)𝑐 into degree measure. 1
9 If sin 𝜃 + 𝑐𝑜𝑠𝑒𝑐 𝜃 = 2, then find the value of sin 2 𝜃 + 𝑐𝑜𝑠𝑒𝑐 2 𝜃 . 1
10 Find the absolute value of the complex number 3 + 6i . 1
Or
9
Evaluate: √−4 x √− 4 .
11 If z = 2 +√3 i , then find z.𝑧̅ . 1
12 If 4 x + i(3x – y) = 3 – 6i ,then find the value of x and y. 1
4
13 Express 𝑖 3 in (a + ib) form. 1
14 5 < 6, 13 <19 etc are examples of _________ inequalities. 1
15 If x > 5 and x > 2, then x ϵ ( 5, ∞ ) . This is true/ false . 1
or
If x > 7, then – x < - 7. This is true/false.
