ALGEBRA - Jamb Mathematics Past Questions and Answers

Question 286:

• JAMB 1992

If the binary operation \(\ast\) is defined by m \(\ast\) n = mn + m + n for any real number m and n, find the identity of the elements under this operation

A. E = 1
B. E = -1
C. E = -2
D. E = 0

Question 287:

• JAMB 1992

p = \(\begin{vmatrix} x & 3 & 0 \\ 2 & y & 3\\ 4 & 2 & 4 \end{vmatrix}\)
Q = \(\begin{vmatrix} x & 2 & z \\ 3 & y & 2\\ 0 & 3 & z \end{vmatrix}\) Where p^T is the transpose P calculate /p^T/ when x = 0, y = 1 and z = 2

A. 48
B. 24
C. -24
D. -48

Question 288:

• JAMB 1992

p = \(\begin{vmatrix} x & 3 & 0 \\ 2 & y & 3\\ 4 & 2 & 4 \end{vmatrix}\)
Q = \(\begin{vmatrix} x & 2 & z \\ 3 & y & 2\\ 0 & 3 & z \end{vmatrix}\)
PQ is equivalent to

A. PP^T
B. Pp^-1
C. Qp
D. Pp

Question 289:

• JAMB 1992

The sketch is the curve of y = ax² + bx + c. Find a, b and c respectively

A. 1, 0, -4
B. -2, 2, -4
C. 0, 1, -4
D. 2, -2, -4
E. 2, -2, -4

Question 290:

• JAMB 1993

If 9^{(x - \(\frac{1}{2}\))} 3x²

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