Waec Further Mathematics Questions
Question 171:
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:
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.
View Answer & ExplanationQuestion 173:
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:
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:
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 \(4\sqrt{10}\)