Roll No. Name Class & Section

Securion?

MATHEMATICS

APEEJAY COMMONANNUAL EXAMINATION, 2019-20

Time Allowed: 3.00 Hrs.

Class - XI

Maximum Marks: 80

General Instructions :

1. All the questions are compulsory.
2. The question paper consists of 36 questions divided into 4 sections A, B, C and D.
3. Section-A comprises of 20 questions of 1 mark each. Section-B comprises of 6 questions of 2 marks each. Section-C comprises of 6 questions of 4 marks each. Section-D comprises of 4 questions of 6 marks each.
4. There is no overall choice. However, an internal choice has been provided in three questions of 1 mark 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 alternatives in all such questions.

1. Use of calculators is not permitted.

Section-A

If A and B are two disjoint sets, then <math>n(A \cup B)</math> is equal to

1. <math>n(A) + n(B)</math>
2. <math>n(A) + n(B) - n(A \cap B)</math>
3. <math>n(A) + n(B) + n(A \cap B)</math>
4. n(A) . n(B)
5. The value of <math>(1+i)(1+i^2)(1+i^3)(1+i^4)</math> is

1. 2 0
2. 1 -1

1. If <math>|x+2| \le 9</math>, then
2. <math>x \in (-7, 11)</math>

<math>x \in [-11,7]</math> (b)

1. x ∈ (-∞, -7)

1. <math>x \in (-\infty, 7) \cup (11, \infty)</math>

R-6 [P.T.O.]

1. A coin is tossed. If head comes up, a dice is thrown, but if tail comes up, the coin is tossed again. Find the probability of getting head and an even number.
2. (b)

3<br>5

(c) (d) <math>\frac{3}{2}</math>

1. The distance of the point (3, 3, 4) from x-axis is
2. √22
3. 5

1. Let <math>A = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\}</math>. Then the number of subsets of A containing exactly two elements is
2. 20
3. 45

1. The sum to infinity of the following series

6, 1.2, 0.24, .....is

1. 7

1. 7.5 6.5

1. is equal to sin" x – cos" x

યું અ

1. 2 sin x cos 2x

_ (c) tan 3x cosec 2x (d)

1. Distance between the straight lines <math>6x + 8y + 15 = 0</math> and <math>3x + 4y + 9 = 0</math> is

· (a) <math>\frac{3}{10}</math> units

1. <math>\frac{5}{13}</math> units
2. <math>\frac{2}{3}</math> units
3. <math>\frac{4}{11}</math> units

1. Let R be a relation on N, defined by <math>x + 2y = 8</math>. The domain of R is
2. <math>\{1, 2, 3, 4\}</math> (b) {2, 4, 6, 8}
3. {2, 4, 8} (d) {2, 4, 6}

1. The foci of the conic <math>2x^2 - 3y^2 = 5</math> are ......... & ..........

Ħ [2] R-6/Math/XI