COORDINATE GEOMETRY + GEOMETRY OF STRAIGHT LINES

1

Mariam is finding the equation of the family of lines perpendicular to y = 3x + 1. What is the family equation?

A y = -1/3 x + c B y = 1/3 x + c C y = 3x + c D y = -3x + c

2

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

A 12 B 13 C 5 D 17

3

Find the midpoint of (-6, 4) and (2, -8).

A (-2, -2) B (-4, -4) C (-2, 2) D (4, -12)

4

Zeeshan is finding the slope of the line passing through (2, 3) and (5, 9). What is the slope?

A 2 B 3 C 1 D 6

5

Junaid is finding the distance between points on a coordinate line: A(-7) and B(-2). What is the distance AB?

A 5 B 9 C 7 D 2

6

Babar is finding the equation of the family of lines parallel to y = 2x + 3. What is the family equation?

A y = 2x + c B y = -2x + c C y = (1/2)x + c D y = 2x + 3c

7

Hina is finding the midpoint of the segment joining A(0, 4) and B(6, 0). What is the midpoint?

A (3, 2) B (2, 3) C (6, 4) D (0, 0)

8

Aqib is writing the equation of a line with x-intercept 5 and y-intercept -2. What is the equation?

A x/5 + y/(-2) = 1 B x/5 + y/2 = 1 C x/(-2) + y/5 = 1 D x/2 + y/5 = 1

9

Jibran is finding the equation of the family of lines with slope 4. What is the family equation?

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

10

Nashit is finding the midpoint of the segment joining A(2, -5) and B(8, 3). What is the midpoint?

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

11

What is the equation of the line with slope 1/2 and y-intercept 3?

A y = 0.5x + 3 B y = 2x + 3 C y = x/2 - 3 D y = -0.5x + 3

12

Kashif is calculating the distance between A(2, 1) and B(5, 5). What is the distance AB?

A 3 B 4 C 5 D 6

13

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

A 12 B 13 C 17 D 5

14

Kiran is converting the line y = 2x + 5 to general form. What is the general form?

A 2x - y + 5 = 0 B 2x + y + 5 = 0 C 2x - y - 5 = 0 D x - 2y + 5 = 0

15

Sadia is finding the midpoint of the segment joining A(5, -3) and B(-1, 7). What is the midpoint?

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

16

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

A 3 B 4 C 5 D 6

17

What is the slope of the line 7x - 14y = 28?

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

18

What is the slope of the line passing through (-1, 2) and (3, -4)?

A -3/2 B 3/2 C -2/3 D 2/3

19

What is the two-intercept form of a line?

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

20

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

21

Waqas is calculating the distance between A(1, 1) and B(5, 4). What is the distance AB?

A 3 B 4 C 5 D 6

22

If the midpoint of segment AB is (3, 4) and A = (1, 2), then B is:

A (5, 6) B (2, 3) C (4, 8) D (5, 10)

23

What is the symmetric form of a line with direction cosines l, m, n?

A (x - x₁)/l = (y - y₁)/m = (z - z₁)/n B y = mx + c C x/a + y/b = 1 D ax + by + c = 0

24

What is the slope of a horizontal line?

A 0 B 1 C Undefined D -1

25

Rizwan is finding the slope of the line passing through (2, 5) and (2, 9). What is the slope?

A Undefined B 0 C 2 D 4