Euclidean Geometry - Jamb Mathematics Past Questions and Answers

Question 141:

• JAMB 1997

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 142:

• 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 143:

• 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

Question 144:

• JAMB 1998

In diagram, PQ || ST and < PQR = 120^o, < RST = 130^o, find the angle marked x

A. 50
B. 65
C. 70
D. 80

Question 145:

• JAMB 1998

TQ is tangent to circle XYTR, < YXT = 32^o, RTQ = 40^o. fIND < YTR

A. 108^o
B. 121^o
C. 140^o
D. 148^o