GEOMETRY AND TRIGONOMETRY - Jamb Mathematics Past Questions and Answers

Question 406:

• JAMB 1997

Each of the base angles of a isosceles triangle is 58° and the verticles of the triangle lie on a circle. Determine the angle which the base of the triangle subtends at the centre of the circle.

A. 128^o
B. 16^o
C. 64^o
D. 58^o

Question 407:

• JAMB 1997

A chord of a circle of a diameter 42cm subtends an angle of 60o at the centre of the circle. Find the length of the mirror arc

A. 22cm
B. 44cm
C. 110cm
D. 220cm

Question 408:

• JAMB 1997

An arc of a circle subtends an angle 70o at the centre. If the radius of the circle is 6cm, calculate the area of the sector subtended by the given angle.(\(\pi\) = \(\frac{22}{7}\))

A. 22cm²
B. 44cm²
C. 66cm²
D. 88cm²

Question 409:

• 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 410:

• JAMB 1997

The angle between the positive horizontal axis and a given line is 135^o. 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