Class XI Session 2023-24 Subject - Mathematics Sample Question Paper - 1

Описание: Class XI Session 2023-24 Subject - Mathematics Sample Question Paper - 1

Time Allowed: 3 hours

Maximum Marks: 80

General Instructions:

1. This Question paper contains - five sections A, B, C, D and E. Each section is compulsory. However, there are internal choices in some questions.

2. Section A has 18 MCQ's and 02 Assertion-Reason based questions of 1 mark each.

3. Section B has 5 Very Short Answer (VSA)-type questions of 2 marks each.

4. Section C has 6 Short Answer (SA)-type questions of 3 marks each.

5. Section D has 4 Long Answer (LA)-type questions of 5 marks each.

6. Section E has 3 source based/case based/passage based/integrated units of assessment (4 marks each) with sub parts.

1. cos 15^{\circ}-sin~15^{\circ}=?

Section A

[1]

a)\frac{1}{2}

b \frac{(\sqrt{2}-1)}{\sqrt{2}}

c)\frac{1}{\sqrt{2}}

d) \frac{(\sqrt{2}+1)}{\sqrt{2}}

[1]

[1]

2. Let A = (a, b, c), then the range of the relation R=\{(a,b), (a, c), (b, c)) defined on A is

a)\{b,c\}

b) {c}

c) {a, b}

d) {a, b, c)

3. The probability that a leap year will have 53 Fridays or 53 Saturdays is

a) \frac{2}{7}

b) \frac{3}{7}

C) \frac{1}{7}

d) \frac{4}{7}

4. lim_{x\rightarrow\infty}(\sqrt{x^{2}+x+1}-x) is equal to

[1]

\frac{1}{2}

b) 2

c) 0

d) -1

5. The equation of the straight line passing through the point (3, 2) and perpendicular to the line y=x is

a x+y=1

c) x+y=5

b x-y=5

[1]

6. The number of subsets of a set containing n elements is

a) 20-1

d) x-y=1

b 2^{n}-2

[1]

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