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Mth – GEOMETRY OF STRAIGHT LINES

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Question 1 of 20 0% read

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

A 2
B -2
C 4
D -4

2. What is the slope of the line 2x + 3y = 6?

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

3. Find the equation of the line with x-intercept 5 and y-intercept -2.

A x/5 - y/2 = 1
B x/5 + y/2 = 1
C 5x - 2y = 10
D x/5 + y/2 = -1

4. What is the equation of a line perpendicular to y = 2x + 3?

A y = -1/2 x + 1
B y = 2x - 1
C y = -2x + 3
D y = 1/2 x + 4

5. What is the equation of a line with x-intercept 4 and y-intercept 3?

A x/4 + y/3 = 1
B x/3 + y/4 = 1
C 4x + 3y = 1
D 3x + 4y = 12

6. 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

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

A -2
B 3
C 2
D -3

8. What is the slope of the line perpendicular to y = -3x + 4?

A 1/3
B -1/3
C 3
D -3

9. 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

10. Find the x-intercept of the line 5x - 2y = 10.

A 2
B -2
C 5
D 10

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. 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

13. Find the slope of the line 6x - 2y = 10.

A 3
B -3
C 1/3
D -1/3

14. Find the x-intercept of the line 3x + 4y = 12.

A 4
B 3
C 12
D 2

15. What is the y-intercept of the line 4x + 5y = 20?

A 4
B 5
C 20
D 2

16. What is the normal form of the line x + y = 1?

A x/√2 + y/√2 = 1/√2
B x + y = 1
C x/2 + y/2 = 1/2
D x + y = √2

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

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

18. What is the slope of a line making an angle of 45° with the positive x-axis?

A 1
B 0
C √3
D -1

19. 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

20. What is the equation of a line in slope-intercept form?

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

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