Mathematics for IGCSE & O level - Coordinate Geometry (Section 3)
1
What is the distance between the points (3, -2) and (7, 1)?
2
Which of the following equations represents a line parallel to y = -3x + 1?
3
What does the gradient of a straight line represent?
4
Which of these statements about a vertical line is true?
Trả lời(B)
It has an undefined gradient.
5
The length of a line segment with endpoints (0, 0) and (3, 4) is:
6
If the equation of line 1 is y= -x+3 and the equation of line 2 is x+y=5, what is true?
7
What are the coordinates of the midpoint of a line segment with endpoints (2, 4) and (6, 8)?
8
Calculate the distance between points A(1, 2) and B(4, 6).
9
In the equation y = -3x + 5, what is the slope and y-intercept?
Trả lời(B)
Slope: -3, y-intercept: 5
10
Which of the following sets of lines are perpendicular?
11
What is the length of the line segment joining (2, 1) and (6, 4)?
12
If two lines are perpendicular, what is the relationship between their gradients?
Trả lời(C)
The product of the gradients is -1.
13
The equation of a line passes through (1,2) and has a gradient of 3. What is the y-intercept?
14
What is the length of the line segment with endpoints (1, 1) and (4, 5)?
15
Which statements are true about the line segment connecting points (1, 2) and (4, 6)?
16
What is the equation of the line that passes through the point (0, -3) and has a slope of 2?
17
What are the two key pieces of information needed to determine the equation of a line?
18
The equation of a straight line is of the form y = mx + c. What does 'm' represent?
19
Find the midpoint of the line segment with endpoints (-2, 5) and (4, -1).
20
A line has a slope of -3 and passes through the point (1, 2). What is the equation of the line?
21
What is the gradient of the line described by the equation x + 2y = 4?
22
What type of line does the equation x = 4 represent?
23
What is the gradient of a line passing through the points (0, 0) and (2, 4)?
24
If two lines cross at right angles at the point (3, 3). One passes through (6, 0). What is the equation of the other line?
25
Which of the following lines is parallel to the line 2x + 3y = 6?
26
What is the distance between the points (1, 1) and (4, 5)?
27
Which of the following points lies on the line 2x + y = 5?
28
Which of the following is true about the equation 2x - y + 3 = 0?
29
Which point lies on the line 2x + y - 3 = 0?
30
Which of the following points lies on the line y = 2x - 1?
31
What is the equation of a line with gradient -1 that passes through the point (3, -2)?
32
The equation of a straight line is given by 2x + 3y = 6. What is the y-intercept of this line?
33
In the equation y = 3x - 2, which is the y-intercept?
34
If a line has a gradient of -1/2, what is the gradient of a perpendicular line?
35
If a line has a gradient of 0, what can be said about it?
36
Which of the following statements are true about the line y = (2/3)x - 4?
37
What is the gradient of a horizontal line?
38
What is the gradient of a line perpendicular to a line with equation y = -2/5x + 3?
39
What information is provided by the gradient of a straight-line graph?
40
Which of the following is the gradient of a line that is perpendicular to a line with equation y = 2/3x + 5?
41
Which statement is true about the lines y = 2x + 1 and y = 2x - 3?
42
Which of the following are true statements about the line y = 2x + 3?
43
Which of the following is the formula for the midpoint of a line segment with endpoints (x1, y1) and (x2, y2)?
Trả lời(B)
((x1 + x2)/2, (y1 + y2)/2)
44
If the gradient of a line is 2, what is the gradient of a line perpendicular to it?
45
What is the gradient of the line that is parallel to the x-axis?
46
The equation of a line is given by y = -5x + 7. What is the y-intercept?
47
Which of the following are required to fully define a straight line in a 2D plane?
48
If a line segment has endpoints (2, 3) and (6, 6), what is its gradient?
49
What is the midpoint of the line segment with endpoints (3, -1) and (-5, 5)?
50
What is the gradient of the line segment connecting the points (0, 5) and (3, 5)?
