Further Mathematics Past Questions and Answers

If \(y = x^{2} - 6x + 11\) is written in the form \(y = a(x - h)^{2} + k\), find the value of \((a + h + k)\).

A -4
B -3
D 6

Question 317:

The distance between P(x, 7) and Q(6, 19) is 13 units. Find the values of x.

A 1 or -7
B 1 or 7
C 1 or 11
D 5 or -5

Question 318:

In the diagram above, forces P, Q and 50N are acting on a body at M. If the system is in equilibrium, calculate, in terms of \(\theta\), the magnitude of P.

A \(\frac{50 \cos \theta}{\sin (\theta + 45)Â°}\)
B \(\frac{50 \cos \theta}{\cos (\theta + 45)°}\)
C \(\frac{50 \sin \theta}{\cos (\theta + 45)Â°}\)
D \(\frac{50 \sin \theta}{\sin (\theta + 45)Â°}\)

Question 319:

A function F is defined on the set R, of real numbers by \(f : x \to px^{2} + qx + 2\), where p and q are constants. If \(f(-2) = 0\) and \(f(1) = 3\), find \(f(-4)\).

Question 320:

If \(\sin A = \frac{3}{5}\) and \(\cos B = \frac{15}{17}\), where A is an obtuse angle and B is acute, find the value of \(\cos (A + B)\).