BUET admission questions 2005-06 (Bangladesh University of Engineering & Technology)

All 2 questions of this paper are below. Subjects: Higher Math 1st Paper (1), Higher Math 2nd Paper (1).

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Higher Math 1st Paper

1.For what values of $x$ , the value of the determinant $\begin{vmatrix} x^2 & x & 2 \\ 2 & 1 & 1 \\ 0 & 0 & -5 \end{vmatrix}$ will be zero?
1. A. $x = 0, -2$
2. B. $x = 1, 2$
3. C. $x = 0, 1$
4. D. $x = 0, 2$

Higher Math 2nd Paper

2.The value of $\sqrt{i} + \sqrt{-i}$ is-
1. A. $2$
2. B. $1$
3. C. $0$
4. D. $\sqrt{2}$

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