GEOMETRY AND TRIGONOMETRY - Jamb Mathematics Past Questions and Answers

Question 411:

• JAMB 1997

A point P moves so that is equidistant from point L and M. If LM is 6cm, find the distance of P from LM when P is 10cm from L

A. 12cm
B. 10cm
C. 8cm
D. 6cm

Question 412:

• JAMB 1997

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 413:

• JAMB 1997

The angle of elevation of a building from a measuring instrument placed on the ground is 30^o. 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

Question 414:

• JAMB 1997

In a triangle XYZ, if < ZYZ is 60, XY = 3cm and YZ = 4cm, calculate the length of the sides XZ.

A. √23cm
B. √13cm
C. 2√5cm
D. 2√3cm

Question 415:

• JAMB 1997

The figure shows circles of radii 3cm and 2cm with centres at X and Y respectively. The circles have a transverse common tangent of length 25cm. Calculate XY

A. \(\sqrt{630}\)cm
B. \(\sqrt{626}\)cm
C. \(\sqrt{615}\)cm
D. \(\sqrt{600}\)cm