Further Mathematics 2014 Waec Past Questions and Answers

Question 16 :

• WAEC 2014

If \(Px^{2} + (P+1)x + P = 0\) has equal roots, find the values of P.

A. \(\text{-1 and }\frac{-1}{3}\)
B. \(\text{1 and }\frac{-1}{3}\)
C. \(\text{-1 and }\frac{1}{3}\)
D. \(\text{1 and }\frac{1}{3}\)

Question 17 :

• WAEC 2014

Integrate \((x - \frac{1}{x})^{2}\) with respect to x.

A. \(\frac{1}{3}(x - \frac{1}{x})^{3} + c\)
B. \(\frac{x^{3}}{3} - x\sqrt{\frac{1}{x^{3}}} + c\)
C. \(\frac{x^{3}}{3} - 2x + \frac{1}{x^{3}} + c\)
D. \(\frac{x^3}{3} - 2x - \frac{1}{x} + c\)

Question 18 :

• WAEC 2014

Given that \(AB = \begin{pmatrix} 4 \\ 3 \end{pmatrix}\) and \(AC = \begin{pmatrix} 2 \\ -3 \end{pmatrix}\), find |BC|.

A. \(4\sqrt{2}\)
B. \(6\sqrt{2}\)
C. \(2\sqrt{10}\)
D. \(4\sqrt{10}\)

Question 19 :

• WAEC 2014

Find the angle between \((5i + 3j)\) and \((3i - 5j)\).

A. 180°
B. 90°
C. 45°
D. 0°

Question 20 :

• WAEC 2014

Find the coefficient of \(x^3\) in the binomial expansion of \((3x + 4)^4\) in ascending powers of x.

A. 432
B. 194
C. 144
D. 108