Elective Mathematics

Question 1

1If |a| = 3, |b| = 4 and the angle between them is 60°, find a · b.

Easy

A. 12 B. 6 C. 3.5 D. 7

Question 2

2Use the binomial expansion to evaluate (1.02)⁵ to 3 decimal places.

Hard

A. 1.104 B. 1.110 C. 1.010 D. 1.100

Question 3

3For which value of k is the matrix (2 k; 4 6) singular?

Easy

A. 6 B. 12 C. 2 D. 3

Question 4

4If a = 3i + 4j, |a| is

Hard

A. 25 B. 5 C. 1 D. 7

Question 5

5The angle between a = i + j and b = i − j is

Easy

A. 180° B. 0° C. 45° D. 90°

Question 6

6Find the inverse of the matrix [[2, 1], [5, 3]].

Medium

A. [[3, −1], [−5, 2]] B. [[3, 1], [5, 2]] C. [[2, −1], [−5, 3]] D. [[−3, 1], [5, −2]]

Question 7

7Find the product of (1 2; 3 4) and (2; 1).

Easy

A. (3; 7) B. (5; 11) C. (4; 10) D. (2; 6)

Question 8

8If a = 2i − j and b = i + 3j, find a · b.

Easy

A. 5 B. 1 C. −1 D. 7

Question 9

9If a = 3i + 4j, find |a|.

Easy

A. 25 B. 7 C. 12 D. 5

Question 10

10The determinant of [[3, 2], [5, 4]] is

Hard

A. 2 B. −2 C. 7 D. 22