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Mathematics Past Questions and Answers

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Mathematics Questions

Question 361:

Find the 3rd term of \((\frac{x}{2} - 1)^{8}\) in descending order of x.

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A \(\frac{x^{7}}{8}\)
B \(\frac{7x^{6}}{16}\)
C \(\frac{7x^{5}}{4}\)
D \(\frac{35x^{4}}{8}\)

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Question 362:

Express (14N, 240°) as a column vector.

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A \(\begin{pmatrix} -7 \\ -7\sqrt{3} \end{pmatrix}\)
B \(\begin{pmatrix} 7\sqrt{3} \\ 7\sqrt{3} \end{pmatrix}\)
C \(\begin{pmatrix} -7\sqrt{3} \\ -7 \end{pmatrix}\)
D \(\begin{pmatrix} 7 \\ -7\sqrt{3} \end{pmatrix}\)

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Question 363:

Evaluate \(\frac{\tan 120° + \tan 30°}{\tan 120° - \tan 60°}\)

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

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Question 364:

Find \(\lim\limits_{x \to 3} (\frac{x^{3} + x^{2} - 12x}{x^{2} - 9})\)

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A \(\frac{7}{2}\)
B \(0\)
C \(\frac{-7}{2}\)
D \(-7\)

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Question 365:

Find the distance between the points (2, 5) and (5, 9).

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A 4 units
B 5 units
C 12 units
D 14 units

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