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Mth – LINEAR EQUATIONS AND INEQUALITIES + TRIGONOMETRY AND BEARING

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Question 1 of 20 0% read

1. Which equation has no real solution?

A √x = 3
B √x = -3
C |x| = 4
D |x - 1| = 0

2. What is the value of x in 2√x - 5 = 3?

A 4
B 16
C 8
D 64

3. Solve: |x/2| = 3

A 6 only
B -6 only
C 6 and -6
D 3 and -3

4. Which of the following is a radical equation?

A 2x + 3 = 7
B √x + 2 = 5
C |x| = 4
D x² = 9

5. In a triangle, if tan θ = 4/3, what is sin θ?

A 4/5
B 3/5
C 5/4
D 3/4

6. Solve: 5√x = 20

A 4
B 16
C 25
D 100

7. In a right-angled triangle, if the opposite side is 6 and the adjacent side is 8, what is tan θ?

A 3/4
B 4/3
C 3/5
D 5/4

8. A ship travels 8 km east and then 6 km north. What is the bearing of the ship from the starting point?

A 036.87° (approx.)
B 053.13° (approx.)
C 126.87° (approx.)
D 306.87° (approx.)

9. Solve: |x| = -5

A 5
B -5
C 0
D No solution

10. What is the value of cos 60°?

A 1/2
B √3/2
C 1/√2
D 1

11. Solve for x: √(5x) = 10

A 2
B 20
C 50
D 100

12. If the angle of depression from the top of a building to a car is 45° and the building is 30 m high, how far is the car from the building?

A 30 m
B 30√2 m
C 15 m
D 60 m

13. If a point is at a bearing of 200°, in which quadrant is it?

A Third quadrant (southwest)
B Second quadrant (northwest)
C Fourth quadrant (southeast)
D First quadrant (northeast)

14. A man walks 5 km due North and then 5 km due East. What is his bearing from the starting point?

A 045°
B 135°
C 315°
D 225°

15. Solve: |x + 3| = 0

A 3
B -3
C 0
D No solution

16. If sin θ = 3/5, what is the value of cos θ?

A 4/5
B 3/4
C 5/3
D 4/3

17. A ship sails from port P to port Q on a bearing of 120°. What is the back bearing from Q to P?

A 300°
B 060°
C 240°
D 180°

18. Which equation has no real solution?

A |x| = 0
B |x| = 1
C |x| = -1
D |x - 2| = 3

19. What is the solution of √(2x + 1) = 5?

A 12
B 24
C 6
D 8

20. What is the reciprocal of sin θ?

A cosec θ
B sec θ
C cot θ
D cos θ

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