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Simplification problems
1. 1/(tanA + cotA) is equal to
Options
A. (cosecA + sinA)(secA - cosA)
B. ?[(cosecA - sinA)(secA - cosA)]
C. ?[(cosecA + sinA)(secA - cosA)]
D. (cosecA - sinA)(secA - cosA)
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Correct Answer: (cosecA - sinA)(secA - cosA)
2. Calculate the value of ?3?3 + 3 , if ?3 = 1.732
Options
A. 0.366
B. 0.566
C. 0.356
D. 0.346
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Correct Answer: 0.366
3. Determine the value of 'a' which satisfies the equation 9a + 40a = 41a
Options
A. 1
B. 2
C. 3
D. 4
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,
CAT
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Correct Answer: 4
4. ?ABC is right angled at B. If m?C = 60°, then find the value of (cotA - 1/2).
Options
A. -1/?3
B. (3-?2)/3?2
C. (2?3-1)/2
D. (?2-?3)/?6
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Correct Answer: (2?3-1)/2
5. If 5x + 6(3-2x) = 4, then what is the value of x?
Options
A. 1
B. 2
C. 3
D. 4
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Correct Answer: 2
6. If a + b = 1 and ab = -6, then what is the value of a3+ b3 ?
Options
A. 17
B. 15
C. 19
D. 13
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Correct Answer: 19
7. What is the reflection of the point (3,-5) in the origin?
Options
A. (-3, -5)
B. (5,-3)
C. (-5,-3)
D. (-3, 5)
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Correct Answer: (-3, 5)
8. Point P is the midpoint of segment AB. Co-ordinates of P are (5, -1) and A are (2, -4). What are the co-ordinates of point B?
Options
A. (6, 4)
B. (8, 2)
C. (1,-2)
D. (-6, -2)
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Correct Answer: (8, 2)
9. What is the slope of the line perpendicular to the line passing through the points (-2, 3) and (2, 0)?
Options
A. 4/3
B. 3/4
C. -3/4
D. -4/3
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Correct Answer: 4/3
10. What is the value of Sin 30° + Cos 30°?
Options
A. (?6 + 1)/?3
B. (?3 + 2)/?3
C. (1 + ?3)/2
D. 5/?3
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Correct Answer: (1 + ?3)/2
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