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Further Maths Past Questions and Answers

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Further Maths Questions

Question 171:

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

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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 \(x^{2} + y^{2} + 4x - 6y + 9 = 0\)

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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.

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A 45
B 54
C 56
D 65

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Question 173:

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

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

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Question 174:

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

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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 \(\frac{x^3}{3} - 2x - \frac{1}{x} + c\)

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Question 175:

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

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

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