The graph of y = x2 and y = x intersect at which of these points?
(0,0), (1,1)
(0,0), (0,1)
(1, 0), (0, 0)
(0, 0) (0, 0)
Correct answer is A
y = x2 ....(1)
y = x ......(2)
y = y
x2 - x
x2 - x = 0
x(x - 1) = 0
x = 0 or x - 1 = 0
x = 0 or x = 1
when x = 0, y = 02 = 0
when x = 1, y = 12 = 1
Hence; the two graphs interest at (0, 0) and (1, 1)
18
20
30
38
Correct answer is D
Let n(M ∪ N \) = x
Then 20 - x + x + 30
- x = n(M ∪ N)
50 - x = 40
50 - 40 = x
10 = x
x = 10
Hence, n(M \(\cup\N)' = 8 + (20 - 10) + (30 + 10)
= 8 + 10 + 20
= 38
Given that Y is 20cm on a bearing of 300o from x, how far south of y is x?
10cm
15cm
25cm
30cm
Correct answer is A
In △YSC, sin 30o = YS20
|YS| = 20 sin 30o
= 20 x 0.5
10m
If tan x = 43, 0o < x < 90o, find the value of sin x - cos x
110
15
512
125
Correct answer is B
From the diagram,
h2 = 42 + 32 (pythagoras')
h2 = 16 + 9 = 25
h = √25 = 5
Hence, sin x - cos x
= 45−35
= 15
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