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Volume and Surface Area problems
1. What is the slope of the line 2x + 3y = 12?
Options
A. 2/3
B. 3/2
C. -3/2
D. -2/3
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Correct Answer: -2/3
2. What is the diameter (in cm) of a sphere of surface area 6.16 sq cm?
Options
A. 1.4
B. 0.7
C. 2.8
D. 2.1
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Correct Answer: 1.4
3. What is the equation of the line perpendicular to the line 2x + 3y= -6 and having Y-intercept 3?
Options
A. 3x - 2y = 6
B. 3x - 2y = -6
C. 2x - 3y = -6
D. 2x - 3y = 6
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Correct Answer: 3x - 2y = -6
4. What are the co-ordinates of the centroid of a triangle, whose vertices are A(2 , 5), B(-4 , 0) and C(5 , 4)?
Options
A. (-1 , 3)
B. (1 , 3)
C. (1 , -3)
D. (-1 , -3)
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Correct Answer: (1 , 3)
5. D and E are points on side AB and AC of ?ABC. DE is parallel to BC. If AD:DB = 2:3, what is the ratio of area of ?ADE and area of quadrilateral BDEC?
Options
A. 4 : 21
B. 4 : 25
C. 4 : 29
D. 4 : 9
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Correct Answer: 4 : 21
6. What is the value of Cot 60°- Cos 45°?
Options
A. (9 - 2?3)/9
B. (2?6 - 1)/?3
C. (1 - 2?3)/2
D. (?2 - ?3)/?6
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Correct Answer: (?2 - ?3)/?6
7. What is the reflection of the point (1 , 2) in the line y = 3?
Options
A. (1, -4)
B. (1, 4)
C. (-1, -4)
D. (-1, 4)
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Correct Answer: (1, 4)
8. Point A (2, 1) divides segment BC in the ratio 2:3. Co-ordinates of B are (1, -3) and C are (4, y). What is the value of y?
Options
A. 8
B. -7
C. -8
D. 7
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Correct Answer: 7
9. What is the reflection of the point (-2, 5) in the line x = -1?
Options
A. (-2 , -7)
B. (0 , 5)
C. (2 , 5)
D. (-2 , 7)
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Correct Answer: (0 , 5)
10. What is the reflection of the point (-1 , 3) in the line x = -4?
Options
A. (-7 ,-3)
B. (-7 ,3)
C. (7 ,-3)
D. (7 ,3)
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Correct Answer: (-7 ,3)
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