ALGEBRA - Jamb Mathematics Past Questions and Answers

Question 376:

• JAMB 1998

The binary operation \(\oplus\) is defined by x \(\ast\) y = xy - y - x for all real values x and y. If x \(\ast\) 3 = 2\(\ast\), find x

A. -1
B. 4
C. 1
D. 5

Question 377:

• JAMB 1998

The determinant of matrix \(\begin{pmatrix} x & 1 & 0 \\ 1-x & 2 & 3 \\ 1 & 1+x & 4\end{pmatrix}\) in terms of x is

A. -3x² - 17
B. -3x² + 9x - 1
C. 3x² + 17
D. 3x² - 9x + 5

Question 378:

• JAMB 1998

Let = \(\begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}\) p = \(\begin{pmatrix} 2 & 3 \\ 4 & 5 \end{pmatrix}\) Q = \(\begin{pmatrix} u & 4+u \\ -2v & v \end{pmatrix}\) be 2 x 2 matrices such that PQ = 1. Find (u, v)

A. (-\(\frac{5}{2}\) - 1)
B. (-\(\frac{5}{2}\) - \(\frac{3}{2}\))
C. (-\(\frac{5}{6}\) - 1)
D. (\(\frac{5}{2}\) - \(\frac{3}{2}\))

Question 379:

• JAMB 1998

The shaded area represents

A. X \(\leq\) 0, y \(\leq\) 0, 2y + 3x \(\leq\) 6
B. X \(\geq\) 0, y \(\geq\) 3, 3x + 2y \(\geq\) 6
C. X \(\geq\) 2, y \(\geq\) 0, 3x + 2y \(\leq\) 6
D. X \(\geq\) 0, y \(\geq\) 0, 3x + 2y \(\geq\) 6

Question 380:

• JAMB 1999

If \(\frac{(a^2 b^{-3}c)^{\frac{3}{4}}}{a^{-1}b^{4}c^{5}}=a^{p} b^{q} c^{r}\) What is the value of p+2q?

A. (5/2)
B. -(5/4)
C. -(25/4)
D. -10