In how many ways can a committee of 5 be selected from 8 students if 2 particular students are to be included?
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2015
A line passes through the origin and the point \((1\frac{1}{4}, 2\frac{1}{2})\). Find the y-coordinate of the line when x = 4.
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2015
A line passes through the origin and the point \((1\frac{1}{4}, 2\frac{1}{2})\), what is the gradient of the line?
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2015
Find the minimum value of \(y = x^{2} + 6x - 12\).
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2015
If \(36, p, \frac{9}{4}, q\) are consecutive terms of an exponential sequence (G.P.). Find the sum of p and q.
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2015
Given that \(f : x \to \frac{2x - 1}{x + 2}, x \neq -2\), find \(f^{-1}\), the inverse of f.
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2015
Which of the following is a factor of the polynomial \(6x^{4} + 2x^{3} + 15x + 5\)?
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2015
Given that \(P = \begin{pmatrix} -2 & 1 \\ 3 & 4 \end{pmatrix}\) and \(Q = \begin{pmatrix} 5 & -3 \\ 2 & -1 \end{pmatrix}\), find PQ - QP.
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2015
Given that \(\frac{2x}{(x + 6)(x + 3)} = \frac{P}{x + 6} + \frac{Q}{x + 3}\), find P and Q.
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2015
Given that \(f : x \to x^{2}\) and \(g : x \to x + 3\), where \(x \in R\), find \(f o g(2)\).
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2015
Find the 3rd term of \((\frac{x}{2} - 1)^{8}\) in descending order of x.
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2015
If \(\log_{3} x = \log_{9} 3\), find the value of x.