Quiz for Straight Lines

Q1: What is the slope of the line 3x + 4y = 12?

A. -3/4 B. 4/3 C. -4/3 D. 3/4

Q2: Find the equation of a line passing through (2,3) with slope 5.

A. y = 5x + 3 B. y = 5x - 7 C. y - 3 = 5(x - 2) D. y + 3 = 5x

Q3: Two lines are perpendicular if the product of their slopes is:

A. 0 B. -1 C. 1 D. Undefined

Q4: Find the angle between the lines y = 2x + 3 and y = -1/2x + 1.

A. 90° B. 60° C. 45° D. 30°

Q5: What is the x-intercept of the line 2x - 3y = 6?

A. 3 B. 0 C. -3 D. 6

Q6: Find the y-intercept of the line 4x + 2y = 8.

A. 4 B. 2 C. 8 D. 0

Q7: The equation of a line parallel to x-axis and passing through (5, -2) is:

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

Q8: Which of the following lines is vertical?

A. y = 3 B. x = -1 C. y = 2x D. y = x + 5

Q9: Find the distance between parallel lines 3x - 4y = 7 and 3x - 4y = -5.

A. 3 B. 4 C. 2 D. 12/5

Q10: Which of the following represents the general form of a line?

A. y = mx + c B. ax + by + c = 0 C. x² + y² = r² D. xy = k

Q11: Slope of a line joining (2,3) and (4,7) is:

A. 2 B. 3 C. 1 D. 4

Q12: Find the equation of a line with slope -1 and y-intercept 4.

A. y = -x + 4 B. y = x - 4 C. y = 4x - 1 D. y = -4x + 1

Q13: If a line passes through origin and has slope 3, its equation is:

A. y = 3x + 0 B. y = x + 3 C. y = 3x D. x = 3y

Q14: Which pair of lines are coincident?

A. y = 2x + 3 and y = -2x + 3 B. 3x + 4y = 7 and 6x + 8y = 14 C. y = x and y = -x D. x = 1 and y = 1

Q15: What is the condition for two lines to be parallel?

A. Equal slopes B. Equal intercepts C. Product of slopes = -1 D. Equal angles with x-axis

Q16: The line x = 2 is parallel to:

A. x-axis B. y-axis C. y = x D. y = -x

Q17: Equation of line passing through (0,0) and perpendicular to y = -2x + 3 is:

A. y = 2x B. y = -1/2x C. y = 1/2x D. y = -1/x

Q18: Which of these represents a line of slope 0?

A. x = 2 B. y = 5 C. x + y = 1 D. x - y = 0

Q19: Find the point of intersection of lines x + y = 4 and x - y = 2.

A. (3,1) B. (1,3) C. (2,2) D. (4,0)

Q20: The angle between x-axis and the line y = √3 x is:

A. 30° B. 45° C. 60° D. 90°