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Mathematics 1978 JAMB Past Questions

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36
The locus of all points having a distance of 1 unit from each of the two fixed points a and b is
  • A. a line parallel to the line ab
  • B. a line perpendicular to the line ab through the mid-point of ab
  • C. a circle through a and b with centre at the mid-point of ab
  • D. a circle with centre at a and passes through b
  • E. a circle in a plane perpendicular to ab and centre at the mid-point of the line ab
View Answer & Discuss JAMB 1978
37
Without using tables, simplify \(\frac{1n \sqrt{216} - 1n \sqrt{125} - 1n\sqrt{8}}{2(1n3 - 1n5)}\)
  • A. -3
  • B. 3
  • C. \(\frac{3}{5}\)
  • D. \(\frac{-3}{2}\)
  • E. 1n 6 - 2 1n 5
View Answer & Discuss (4) JAMB 1978
38

Simplify \(\frac{(a^2 - \frac{1}{a}) (a^{\frac{4}{3}} + a^{\frac{2}{3}})}{a^2 - \frac{1}{a}^2}\)

  • A. a\(\frac{2}{3}\)
  • B. a-\(\frac{1}{3}\)
  • C. \(a^{2}\) + 1
  • D. a
  • E. a\(\frac{1}{3}\)
View Answer & Discuss (4) JAMB 1978
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39
If x4 - kx3 + 10x2 + 1x - 3 is divisible by (x - 1), and if when it is divided by (x + 2) the remainder is 27, find the constants k and 1
  • A. k = -7, 1 = -15
  • B. k = -15, 1 = -7
  • C. k = \(\frac{15}{3}\) , 1 = -7
  • D. k = \(\frac{7}{3}\) , 1 = -17
View Answer & Discuss JAMB 1978
40

Evaluate without using tables sin(-1290º)

  • A. \(\frac{3}{2}\)
  • B. -\(\frac{3}{2}\)
  • C. \(\frac{2}{2}\)
  • D. 1
  • E. \(\frac{1}{2}\)
View Answer & Discuss (2) JAMB 1978
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