Waec Further Mathematics Past Questions and Answers

Question 171:

• WAEC 2014

Find the equation of a circle with centre (2, -3) and radius 2 units.

A. \(x^{2} + y^{2} - 4x + 6y + 9 = 0\)
B. \(x^{2} + y^{2} + 4x - 6y - 9 = 0\)
C. \(x^{2} + y^{2} + 4x + 6y - 9 = 0\)
D. \(x^{2} + y^{2} + 4x - 6y + 9 = 0\)

Question 172:

• WAEC 2014

The first term of a linear sequence is 9 and the common difference is 7. If the nth term is 380, find the value of n.

A. 45
B. 54
C. 56
D. 65

Question 173:

• 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 174:

• 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 175:

• 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. \(4\sqrt{10}\)