Post Utme Mathematics Questions
Question 456:
If \(\frac{r^{2}}{a^{2}}-\frac{1^{2}}{h^{2}}=1\). then \(i\) is
- A \(\pm \frac{h}{a} \sqrt{x^{2}-a^{2}}\)
- B \(\frac{a}{h^{2}} \sqrt{x^{2}-a^{2}}\)
- C \(\pm \frac{a}{h} \sqrt{x^{2}-a}\)
- D \(\pm \frac{h}{a} \sqrt{x^{2}-a^{2}}\)
Question 457:
\(Z\) is partly constant and partly varies inversely as the square of \(d\). when \(d=1, z=11\) and when \(d=2 . z=5\). Find the value of \(=\) when \(d=4 .\)
View Answer & ExplanationQuestion 458:
Expand the expression \(\left(x^{2}-2 x-3\right)\left(x^{2}+x+1\right)\).
- A \(x^{4}-4 x^{2}-5 x-3\)
- B \(-x^{3}-4 x^{2}+5 x-3\)
- C \(x^{4}-x^{3}-\) \(4 x^{2}-5 x-3\)
- D \(x^{4}-4 x^{2}-5 x-3\)
Question 459:
Suppose we have matrices \(A=\left[\begin{array}{cc}1 & -1 \\ 2 & 3\end{array}\right]\) and \(B=\left[\begin{array}{ll}0 & 2 \\ 4 & 3\end{array}\right]\). Find \(A^{2}+A B-2 A\)
- A \(\left(\begin{array}{cc}-5 & -9 \\ 12 & 14\end{array}\right)\)
- B \(\left(\begin{array}{cc}-1 & -4 \\ 8 & 7\end{array}\right)\)
- C \(\left(\begin{array}{ll}-4 & -4 \\ 12 & 13\end{array}\right)\)
- D \(\left(\begin{array}{cc}0 & -4 \\ -8 & -6\end{array}\right)\)
Question 460:
The inverse of matrix \(B\) is
- A \(\frac{1}{8}\left[\begin{array}{cc}-3 & 2 \\ 4 & 0\end{array}\right]\)
- B \(\left[\begin{array}{cc}-3 & 2 \\ 4 & 0\end{array}\right]\)
- C \(\frac{1}{8}\left[\begin{array}{cc}3 & -4 \\ -2 & 0\end{array}\right]\)
- D \(\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]\)