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JAMB Mathematics Past Questions & Answers - Page 289

1,441.

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

12cm

10cm

8cm

6cm

View answer & explanation

Correct answer is D

p from LM = $\sqrt{10^2 - 8^2}$

= $\sqrt{36}$ = 6cm

1,442.

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)

x - y = 1

x + y = 1

x + y = 5

x - y = 5

View answer & explanation

Correct answer is C

m = tan 135° = -tan 45° = -1

$\frac{y - y_1}{x - x_1}$ = m

$\frac{y - 3}{x - 2}$ = -1

= y - 3 = -(x - 2)

= -x + 2

x + y = 5

1,443.

A cone with the sector angle of 45° is cut out of a circle of radius r of the cone.

$\frac{r}{16}$ cm

$\frac{r}{6}$ cm

$\frac{r}{8}$ cm

$\frac{r}{2}$ cm

View answer & explanation

Correct answer is C

The formula for the base radius of a cone formed from the sector of a circle = $\frac{r \theta}{360°}$

= $\frac{r \times 45°}{360°}$

= $\frac{r}{8} cm$

1,444.

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

22cm²

44cm²

66cm²

88cm²

View answer & explanation

Correct answer is A

Area of a sector = $\frac{\theta}{360°} \times \pi r^{2}$

r = 6cm; $\theta$ = 70°.

Area of the sector = $\frac{70}{360} \times \frac{22}{7} \times 6^{2}$

= $22 cm^{2}$

1,445.

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

22cm

44cm

110cm

220cm

View answer & explanation

Correct answer is A

Diameter = 42cm

Length of the arc = $\frac{\theta}{360°} \times \pi d$

= $\frac{60}{360} \times \frac{22}{7} \times 42cm$

= $22cm$

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