Mathematics Past Questions

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16
Express \(\frac{1}{X^{3}-1}\) in partial fractions
  • A. 1/3{(1/x-1)-(x-2/x2-x+1)}
  • B. 1/3{(1/x-1)-(x+2/x2+x+1)}
  • C. 1/3{(1/x-1)-(x-2/x2+x+1)}
  • D. 1/3{(1/x-1)-(x-2/x2-x-1)}
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17
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
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18

Divide 4x3-3x+1 by 2x-1

  • A. 2x2-x+1
  • B. 2x2-x-1
  • C. 2x2+x+1
  • D. 2x2+x-1
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19
Find a positive value of ã if the coordinate of the centre of a circle X2+y2-2ãx+4y-ã = 0 is (ã,-2) and the radius is 4 units.
  • A. 1
  • B. 2
  • C. 3
  • D. 4
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20
A man 1.7m tall observes a bird on top of a tree at an angle of 300. if the distance between the man's head and the bird is 25m, what is the height of the tree?
  • A. 26.7m
  • B. 14.2m
  • C. \(1.7+(25\frac{\sqrt{3}}{3}m\)
  • D. \(1.7+(25\frac{\sqrt{2}}{2}m\)
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