Jamb Mathematics Past Questions For Year 1978
Question 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
Question 37
Without using tables, simplify \(\frac{\ln \sqrt{216} - \ln \sqrt{125} - \ln\sqrt{8}}{2(\ln3 - \ln5)}\)
- A. -3
- B. 3
- C. \(\frac{3}{5}\)
- D. \(\frac{-3}{2}\)
- E. 1n 6 - 2 1n 5
Question 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\(\frac{1}{3}\)
Question 39
If x\(^4\)- 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
Question 40
Evaluate without using tables sin(-1290º)
- A. \(\frac{3}{2}\)
- B. -\(\frac{3}{2}\)
- C. \(\frac{2}{2}\)
- D. 1
- E. \(\frac{1}{2}\)
