Jamb Mathematics Past Questions For Year 1997
Question 26
A cone with the sector angle of 45° is cut out of a circle of radius r of the cone.
- A. \(\frac{r}{16}\) cm
- B. \(\frac{r}{6}\) cm
- C. \(\frac{r}{8}\) cm
- D. \(\frac{r}{2}\) cm
Question 27
The angle between the positive horizontal axis and a given line is 135°. Find the equation of the line if it passes through the point (2,3)
- A. x - y = 1
- B. x + y = 1
- C. x + y = 5
- D. x - y = 5
Question 28
A point P moves so that its equidistant from point L and M. If LM is16cm, find the distance of P from LM when P is 10cm from L
- A. 12cm
- B. 10cm
- C. 8cm
- D. 6cm
Question 29
Find the distance between the point Q (4,3) and the point common to the lines 2x - y = 4 and x + y = 2
- A. 3√10
- B. 3√5
- C. √26
- D. √13
Question 30
The angle of elevation of a building from a measuring instrument placed on the ground is 30°. If the building is 40m high, how far is the instrument from the foot of the building?
- A. \(\frac{20}{√3}\)m
- B. \(\frac{40}{√3}\)m
- C. 20√3m
- D. 40√3m
