Mathematics - 2013 E.C (2020/2021) Ethiopian University Entrance Exam (EUEE)

A $\begin{bmatrix}-4 & 3\\ 3 & -2\end{bmatrix}$

B $\begin{bmatrix}-2 & 3\\ 3 & -4\end{bmatrix}$

C $\begin{bmatrix}4 & -3\\ -3 & 2\end{bmatrix}$

D $\begin{bmatrix}-4 & -3\\ -3 & -2\end{bmatrix}$

A If $a>-2$, then the system has a unique solution.

B If $a=-2$, then the system has a unique solution.

C If $a=2$, then the system has no solution.

D If $a>2$, then the system has infinitely many solutions.

A 5

B 6

C 1

D 4

A $(x - 4)^2 + (y - 3)^2 =9$ is the translation of $(x - 2)^2 + (y + 6)^2 = 9$.

B $(x - 5)^2 + (y - 6)^2 = 9$ is the translation of $(x - 3)^2 + (y - 3)^2 = 9$.

C $(x - 4)^2 + (y + 3)^2 = 12$ is the translation of $(x - 2)^2 + (y + 6)^2 = 12$.

D $(x + 4)^2 + (y - 3)^2 = 12$ is the translation of $(x - 2)^2 + (y + 6)^2 = 12$.

A The domain of $y = \tan^{-1}x$ is $(-\infty, \infty)$.

B The domain of $y = \cos^{-1}x$ is $(-1, 1)$.

C $\sin^{-1}(0) = \frac{\pi}{2}$.

D $\tan^{-1}(0) = 1$.

A f(x) = tan x

B f(x) = sec x

C f(x) = csc x

D f(x) = cot x

A 0

B -1

C 1

D 0.5

A 1, 1.5, 2.5, 3.5, ...

B 0.1, 0.01, 0.0011, 0.000111, ...

C 8, 4, 2, -1, ...

D 0.1, 0.11, 0.12, 0.13, ...

A Birr 10,000,000

B Birr 1,090,000

C Birr 20,900,000

D Birr 10,450,000

A 1

B 0

C 3

D 2