If \(\begin{vmatrix} 5 & 3 \\ x & 2 \end{vmatrix}\) = \(\begin{vmatrix} 3 & 5 \\ 4 & 5 \end{vmatrix}\), find the value of x

A. 3

B. 4

C. 5

D. 7

Given that I₃ is a unit matrix of order 3, find |I₃|

A. -1

B. O

C. 1

D. 2

The angles of a polygon are given by x, 2x, 3x, 4x and 5x respectively. Find the value of x.

A. 24^o

B. 30^o

C. 33^o

D. 36^o

Calculate the volume of a cuboid of length 0.76cm, breadth 2.6cm and height 0.82cm.

A. 3.92cm³

B. 2.13cm³

C. 1.97cm³

D. 1.62cm³

The gradient of the straight line joining the points P(5, -7) and Q(-2, -3) is

A. \(\frac{1}{2}\)

B. \(\frac{2}{5}\)

C. \(-\frac{4}{7}\)

D. \(-\frac{2}{3}\)

The distance between the point (4, 3) and the intersection of y = 2x + 4 and y = 7 - x is

A. \(\sqrt{13}\)

B. \(3\sqrt{2}\)

C. \(\sqrt{26}\)

D. \(10\sqrt{5}\)

Find the equation of the line through the points (-2, 1) and (-\(\frac{1}{2}\), 4)

A. y = 2x - 3

B. y = 2x + 5

C. y = 3x - 2

D. y = 2x + 1

If angle \(\theta\) is 135o, evaluate cos\(\theta\)

A. \(\frac{1}{2}\)

B. \(\frac{\sqrt{2}}{2}\)

C. \(-\frac{\sqrt{2}}{2}\)

D. \(-\frac{1}{2}\)

If y = x² - \(\frac{1}{x}\), find \(\frac{\delta y}{\delta x}\)

A. 2x - \(\frac{1}{x^2}\)

B. 2x + x²

C. 2x - x²

D. 2x + \(\frac{1}{x^2}\)

Evaluate \(\int^2_1(x^2 - 4x)dx\)

A. \(\frac{11}{3}\)

B. \(\frac{3}{11}\)

C. \(-\frac{3}{11}\)

D. \(-\frac{11}{3}\)