Mathematics Past Questions and Answers

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 27:

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 28:

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

Question 29:

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 30:

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