If sin x = 12/13, where 0°< x< 90°, find the value of 1 - cos²x

• A. 25/169
• B. 64/169
• C. 105/169
• D. 144/169

A group of 5 boys and 4 girls is to be chosen from a class of 8 boys and 6 girls. In how many ways can this be done?

• A. 840
• B. 480
• C. 408
• D. 380

Two perpendicular lines PQ and QR intersect at (1, -1). If the equation of PQ is x - 2y + 4 = 0, find the equation of QR

• A. x + 2y - 1= -0
• B. 2x + y - 3 = 0
• C. x - 2y - 3 = 0
• D. 2x + y - 1 = 0

Given that \(\frac{6x+m}{2x^{2}+7x-15} \equiv \frac{4}{x+5} - \frac{2}{2x-3}\), find the value of m.

• A. 20
• B. 12
• C. -10
• D. -22

The table shows the distribution of marks scored by 64 students in a test

(a) Draw a histogram for the distribution.

(b) Use the histogram to estimate the modal score.

The locus of a point which moves so that it is equidistant from two intersecting straight lines is the

• A. bisector of the two lines
• B. line parallel to the two lines
• C. angle bisector of the two lines
• D. perpendicular bisector of the two lines

Evaluate \( 202^2_{three} - 112^2_{three}\)

• A. 21120
• B. 21121
• C. 21112
• D. 21011

The first term of a geometric progression is twice its common ratio. Find the sum of the first two terms of the G.P if its sum to infinity is 8.

• A. 8/5
• B. 8/3
• C. 72/25
• D. 56/9

(a) Copy and complete the table of values for \(y = 1 - 4\cos x\).

(b) Using a scale of 2cm to 30° on the x- axis and 2cm to 1 unit on the y- axis, draw the graph of \(y = 1 - 4\cos x\) for \(0° \leq x \leq 360°\).

(c) Use the graph to : (i) solve the equation \(1 - 4\cos x = 0\) ; (ii) find the value of y when x = 105° ; (iii) find x when y = 1.5.

If x is negative, what is the range of values of x within which \(\frac{x + 1}{3}\) > \(\frac{1}{X + 3}\)

• A. 3< x< 4
• B. -4< x< -3
• C. -2< x< -1
• D. -3< x< 0