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Mathematics 1984 JAMB Past Questions

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21

If f(x) = 2(x - 3)\(^2\) + 3(x - 3) + 4 and g(y) = \(\sqrt{5 + y}\), find g [f(3)] and f[g(4)].

  • A. 3 and 4
  • B. -3 and 4
  • C. -3 and -4
  • D. 3 and -4
  • E. 0 and 5
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22

The quadratic equation whose roots are 1 - \(\sqrt{13}\) and 1 + \(\sqrt{13}\) is?

  • A. x2 + (1 - \(\sqrt{13}\)x + 1 + \(\sqrt{13}\) = 0
  • B. x2 - 2x - 12 = 0
  • C. x2 - 2x + 12 = 0
  • D. x2 + 12 + 2x2 = 0
View Answer & Discuss (2) JAMB 1984
23

Find a factor which is common to all three binomial expressions 4a2 - 9b2, 8a3 + 27b3, (4a + 6b)2

  • A. 4a + 6b
  • B. 4a - 6b
  • C. 2a + 3b
  • D. 2a - 3b
  • E. none
View Answer & Discuss (1) JAMB 1984
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24
If (x - 2) and (x + 1) are factors of the expression x3 + px2 + qx + 1, what is the sum of p and q
  • A. 9
  • B. -3
  • C. 3
  • D. \(\frac{17}{3}\)
  • E. \(\frac{2}{3}\)
View Answer & Discuss (1) JAMB 1984
25
A cone is formed by bending a sector of a circle having an angle of 210o. Find the radius of the base of the cone if the diameter of the circle is 12cm.
  • A. 12cm
  • B. 7.00cm
  • C. 1.75cm
  • D. 21cm
  • E. 3.50cm
View Answer & Discuss (2) JAMB 1984
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