Mathematics 1999 Jamb Past Questions and Answers

Question 11 :

• JAMB 1999

A binary operation * is defined by a*b = ab+a+b for any real number a and b. if the identity element is zero, find the inverse of 2 under this operation.

A. 2/3
B. 1/2
C. -1/2
D. -2/3

Question 12 :

• JAMB 1999

Factorize completely \(x^{2} + 2xy + y^{2} + 3x + 3y - 18\).

A. (x+y+6)(x+y-3)
B. (x-y-6)(x-y+3)
C. (x-y+6)(x-y-3)
D. (x+y-6)(x+y+3)

Question 13 :

• JAMB 1999

Three consecutive positive integers k, l and m are such that l\(^2\) = 3(k+m). Find the value of m.

A. 4
B. 5
C. 6
D. 7

Question 14 :

• JAMB 1999

Express \(\frac{1}{x^{3}-1}\) in partial fractions

A. \(\frac{1}{3}(\frac{1}{x - 1} - \frac{(x + 2)}{x^{2} + x + 1})\)
B. \(\frac{1}{3}(\frac{1}{x - 1} - \frac{x - 2}{x^{2} + x + 1})\)
C. \(\frac{1}{3}(\frac{1}{x - 1} - \frac{(x - 2)}{x^{2} + x + 1})\)
D. \(\frac{1}{3}(\frac{1}{x - 1} - \frac{(x - 1)}{x^{2} - x - 1})\)

Question 15 :

• JAMB 1999

The first term of a geometric progression is twice its common ratio. Find the sum of the first two terms of the G.P if its sum to infinity is 8.

A. 8/5
B. 8/3
C. 72/25
D. 56/9