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JAMB Mathematics Past Questions & Answers - Page 59

291.

The locus of the points which is equidistant from the line PQ forms a

A.

perpendicular line to PQ

B.

circle centre P

C.

circle centre Q

D.

pair of parallel lines to PQ

View answer & explanation

Correct answer is A

No explanation has been provided for this answer.

292.

A chord of a circle subtends an angle of 120° at the centre of a circle of diameter $4\sqrt{3} cm$ . Calculate the area of the major sector.

A.

32 $\pi$ cm $^2$

B.

4 $\pi$ cm $^2$

C.

8 $\pi$ cm $^2$

D.

16 $\pi$ cm $^2$

View answer & explanation

Correct answer is C

Angle of major sector = 360° - 120° = 240°

Area of major sector : $\frac{\theta}{360} \times \pi r^{2}$

r = $\frac{4\sqrt{3}}{2} = 2\sqrt{3} cm$

Area : $\frac{240}{360} \times \pi \times (2\sqrt{3})^{2}$

= $8\pi cm^{2}$

293.

Find the length of a chord which subtends an angle of 90° at the centre of a circle whose radius is 8 cm.

A.

$8\sqrt{3}$ cm

B.

4 cm

C.

8 cm

D.

$8\sqrt{2}$ cm

View answer & explanation

Correct answer is D

Length of chord = $2r \sin (\frac{\theta}{2})$

= $2 \times 8 \times \sin (\frac{90}{2})$

= $16 \times \frac{\sqrt{2}}{2}$

= $8\sqrt{2} cm$

294.

A square tile has side 30 cm. How many of these tiles will cover a rectangular floor of length 7.2m and width 4.2m?

A.

720

B.

336

C.

420

D.

576

View answer & explanation

Correct answer is B

Length of the tile = 30 cm = 0.3m

Area of the tile = 0.3 $\times$ 0,3 = 0.09 m $^2$

Area of the room = (7.2 $\times$ 4.2)m $^2$

Number of tiles = $\frac{7.2 \times 4.2}{0.09}$

= 336

295.

If the angles of a quadrilateral are (3y + 10)°, (2y + 30)°, (y + 20)° and 4y°. Find the value of y.

A.

66°

B.

12°

C.

30°

D.

42°

View answer & explanation

Correct answer is C

Sum of angles in a quadrilateral = 360°

$\therefore$ (3y + 10) + (2y + 30) + (y + 20) + 4y = 360

10y + 60 = 360 $\implies$ 10y = 300

y = 30°

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