## MATHEMATICS Study Mode

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31.

If the mid-point of the line PQ is (2, 3) and the point P is (−2, 1), find the coordinate of the point Q.

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A.

(6, 3)

B.

(8, 6)

C.

(5, 6)

D.

(0, 4)

32.
Find the equation of the perpendicular bisector of the line joining P(2, −3) to Q(−5, 1).
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A.
8y + 14x – 13 = 0
B.
8y + 14x + 13 = 0
C.
8y – 14x + 13 = 0
D.
8y – 14x – 13 = 0

33.

In triangle PQR, q = 8 cm, r = 6 cm and cos P =$\frac{1}{12}$ . Calculate the value of p.

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A.

10 cm

B.

$\sqrt{108}$cm

C.

9 cm

D.

$\sqrt{92}$cm

34.

If tanθ = $\frac{3}{4}$, find the value of sin θ + cos θ.

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A.

$1\frac{2}{5}$

B.

$1\frac{1}{3}$

C.

$1\frac{2}{3}$

D.

$1\frac{3}{5}$

35.

If y = (2x + 2)3 , find $\frac{dy}{dx}$

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A.

6(2x + 2)

B.

3(2x + 2)

C.

6(2x + 2)2

D.

3(2x + 2)2

36.

If y = x sin x, find $\frac{dy}{dx}$

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A.

cos x – x sin x

B.

cos x + x sin x

C.

sin x + x sin x

D.

sin x – cos x.

37.

The radius of a circle is increasing at the rate of 0.02 cms-1 . Find the rate at which the area is increasing when the radius of the circle is 7cm.

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A.

0.53 cm-2s-1

B.

0.35 cm-2s-1

C.

0.88 cm-2s-1

D.

0.75 cm-2s-1

A.

${x}^{2}-\frac{1}{x}+k$

B.

$2{x}^{2}-\frac{1}{x}+k$

C.

$-\frac{1}{2{x}^{2}}-\frac{1}{x}+k$

D.

$-\frac{{x}^{2}}{2}-\frac{1}{x}+k$

A.

−1

B.

−2

C.

2

D.

1

40.

The bar chart above shows the allotment of time (in minutes) per week for selected subjects in a certain school. What is the total time allocated to the six subjects per week?

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A.

720 mins.

B.

960 mins.

C.

200 mins.

D.

460 mins.

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