The inverse of matrix N = \(\begin{vmatrix} 2 & 3 \\

1 & 4\end{vmatrix}\) is

• A. \(\frac{1}{5}\) \(\begin{vmatrix} 2 & 1 \\ 3 & 4\end{vmatrix}\)
• B. \(\frac{1}{5}\) \(\begin{vmatrix} 4 & -3 \\ -1 & 2\end{vmatrix}\)
• C. \(\frac{1}{5}\) \(\begin{vmatrix} 2 & -1 \\ -3 & 4\end{vmatrix}\)
• D. \(\frac{1}{5}\) \(\begin{vmatrix} 4 & 3 \\ 1 & 2\end{vmatrix}\)

If \(3x^2 + p x + 12 = 0\) has equal roots, find the values of p .

• A. ±12
• B. ±3
• C. ±4
• D. ±6

The locus of a point which is equidistant from the line PQ forms a

• A. circle centre P
• B. pair of parallel lines each opposite to PQ
• C. circle centre Q
• D. perpendicular line to PQ

In the cyclic quadrilateral below. Find< PRO

• A. 70°
• B. 20°
• C. 50°
• D. 30°

An operation (*) is defined on the set T = {-1, 0, ...., 5} by x * y = x + y - xy. Which of the following operation(s) will give an image which is an element of T?

I. 2(*)5 II. 3(*)5 III. 3(*)4

• A. I only
• B. II only
• C. I and III only
• D. II and III only

The engine of a train produces a force of 3000N when moving at 30.ms^-1. calculate the power of the engine

• A. 1.00 x 10²W
• B. 3.00 x 10⁴W
• C. 9.00 x 10⁴W
• D. 3.00 x 10⁵W

Find the mean deviation of 2, 4, 5, and 9

• A. 1
• B. 2
• C. 5
• D. 7

In the diagram, the height of a flagpole |TF| and the length of its shadow |FL| re in the ratio 6:8. Using k as a constant of proportionality, find the shortest distance between T and L

• A. 7K units
• B. 10K units
• C. 12K units
• D. 14k units

Express two Million, two hundred thousand and fifty in figures.

• (a)2200050
• (b) 2020050
• (c) 2205000
• (d)2020050

A school girl spends \(\frac{1}{4}\) of her pocket money on books and \(\frac{1}{3}\) on dress. What fraction remains?

• A. \(\frac{5}{6}\)
• B. \(\frac{7}{12}\)
• C. \(\frac{5}{12}\)
• D. \(\frac{1}{6}\)