JAMB Mathematics Past Questions & Answers - Page 343

1,711.

Find ∫(sin x + 2)dx

A.

cos x + x2 + K

B.

cos x 2x + K

C.

-cos x + x2 + K

D.

-cos x + 2x + K

Correct answer is D

∫(sin χ + 2)dχ = (∫sin χ + ∫2)dx
= -cos χ + 2χ + K

1,712.

If y = (2x + 1)3 find dy/dx

A.

3(2x+1)2

B.

6(2x+1)

C.

3(2x+1)

D.

6(2x+1)2

Correct answer is D

y = (2x + 1)3
dy/dx = 3(2x + 1)3-1 x 2
= 3(2x + 1)2 x 2
= 6(2x + 1)2

1,713.

What is the locus of point that is equidistant from points P(1,3) and Q(3,5)?

A.

y = -χ + 6

B.

y = -χ - 6

C.

y = χ + 6

D.

y = χ - 6

Correct answer is A

No explanation has been provided for this answer.

1,714.

An arc subtends an angle of 50o at the center of circle of radius 6cm. Calculate the area of the sector formed

A.

100/7

B.

80/7

C.

110/7

D.

90/7

Correct answer is C

Area of a sector = θ x πr2
360


= 50/360 x 22/7 x 36/1
= 110/7

1,715.

If two smaller sides of a right angled triangle are 4cm and 5cm, find its area

A.

10 cm2

B.

6 cm2

C.

24 cm2

D.

8 cm2

Correct answer is A

No explanation has been provided for this answer.