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Mth – COORDINATE GEOMETRY + GEOMETRY OF STRAIGHT LINES

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Question 1 of 20 0% read

1. Find the midpoint of (0, 0) and (2a, 2b).

A (a, b)
B (2a, 2b)
C (a/2, b/2)
D (0, 0)

2. The distance between (0, 0) and (5, 12) is:

A 12
B 13
C 17
D 5

3. Find the y-intercept of the line 2x - 3y = 6.

A -2
B 3
C 2
D -3

4. If two lines are perpendicular, what is true about their slopes?

A Their product is -1
B They are equal
C They are both undefined
D Their sum is 0

5. The midpoint of (-2, 3) and (4, -1) is:

A (1, 1)
B (2, 2)
C (1, 2)
D (3, -4)

6. Find the equation of the line in slope-intercept form: 3x - 4y = 12.

A y = (3/4)x - 3
B y = (4/3)x - 4
C y = -(3/4)x + 3
D y = (3/4)x + 3

7. If the midpoint of AB is (2, 3) and A is (1, 2), what is B?

A (3, 4)
B (2.5, 2.5)
C (4, 6)
D (1.5, 2.5)

8. What is the slope of a vertical line?

A Undefined
B 0
C 1
D -1

9. What is the slope of the line 3x - 6y = 9?

A 1/2
B 2
C -1/2
D -2

10. What is the distance between the points (2, 3) and (5, 7)?

A 3
B 4
C 5
D 6

11. Find the equation of the line passing through (2, 3) and (4, 7).

A y = 2x - 1
B y = x + 1
C y = 2x + 1
D y = 4x - 5

12. What is the slope of the line 4x - 2y = 5?

A 2
B -2
C 4
D -4

13. What is the equation of a line parallel to y = 3x + 1?

A y = 3x - 4
B y = -3x + 1
C y = (1/3)x + 1
D y = 3

14. What is the distance between (1, 3) and (5, 6)?

A 3
B 4
C 5
D 6

15. What is the midpoint of the segment joining (2, 3) and (4, 7)?

A (3, 5)
B (6, 10)
C (2, 4)
D (1, 2)

16. What is the distance between (-1, -2) and (2, 2)?

A 3
B 4
C 5
D 6

17. What is the point-slope form of the line through (3, -2) with slope 4?

A y + 2 = 4(x - 3)
B y - 2 = 4(x + 3)
C y + 3 = 4(x - 2)
D y - 3 = 4(x + 2)

18. The distance between points (2, -3) and (-1, 1) is:

A 3
B 4
C 5
D 6

19. What is the general form of a straight line?

A ax + by + c = 0
B y = mx + c
C x/a + y/b = 1
D y - y₁ = m(x - x₁)

20. What is the general form of the line y = 4x - 7?

A 4x - y - 7 = 0
B 4x + y + 7 = 0
C 4x - y + 7 = 0
D -4x + y - 7 = 0

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