Chapter Exam

Chapter-9 Straight Lines — Online MCQ Test

Q: What is the slope of a line passing through points (2, 3) and (5, 9)?

Answer: A. 2 — Slope m = (y₂ - y₁)/(x₂ - x₁) = (9 - 3)/(5 - 2) = 6/3 = 2.

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

Answer: B. 3 — Setting x = 0: 2y = 6, so y = 3. The y-intercept is 3.

Q: Find the equation of a line passing through (2, 3) with slope 2 using point-slope form.

Answer: A. y - 3 = 2(x - 2) — Using point-slope form: y - y₁ = m(x - x₁), we get y - 3 = 2(x - 2).

Q: The line passing through (2, 3) perpendicular to the line 4x + 3y = 7 has slope:

Answer: A. 3/4 — Slope of 4x + 3y = 7 is -4/3. Perpendicular slope = -1/(-4/3) = 3/4.

Q: Three points P(h, 0), Q(0, k), and R(1, 1) are collinear. Which relation must hold?

Answer: B. 1/h + 1/k = 1 — For collinearity, slope PQ = slope QR. This gives: -k/h = (1 - k)/(1 - 0). Solving: -k(1) = h(1 - k) → -k = h - hk → h + k = hk. Rearranging: 1/h + 1/k = 1.

MATHS · CLASS 11 INTER I YEAR · Andhra State Board

Practice Chapter-9 Straight Lines with a free chapter-wise online MCQ test for Andhra State Board CLASS 11 INTER I YEAR MATHS. This chapter covers: Slope of a line - Collinearity - Angle between two lines - Point-slope form - Slope-intercept form - Two-point form - Intercept form - General equation - Distance of a point from a.... AI-generated questions from basic to board-exam level, with instant results and explanations.

Questions

20m

Time Limit

Attempts Left

10 random questions from this chapter (mixed difficulty)
Questions you've seen before won't repeat until the pool resets
You have 20 minutes — exam auto-submits when time is up
Maximum 3 attempts per chapter
Results and explanations shown immediately after submission

New here? Register free — includes 3 free chapter exams.

Chapter-9 Straight Lines — Important Questions & Answers (FAQ)

Frequently asked questions from Andhra State Board CLASS 11 INTER I YEAR MATHS — Chapter-9 Straight Lines, with answers and explanations. These are sample questions; the exam has its own separate question set.

What is the slope of a line passing through points (2, 3) and (5, 9)?

A. 2 ✓
B. 3
C. 1
D. 4

Answer: A. 2
Slope m = (y₂ - y₁)/(x₂ - x₁) = (9 - 3)/(5 - 2) = 6/3 = 2.

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

A. 2
B. 3 ✓
C. 6
D. 1

Answer: B. 3
Setting x = 0: 2y = 6, so y = 3. The y-intercept is 3.

Find the equation of a line passing through (2, 3) with slope 2 using point-slope form.

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

Answer: A. y - 3 = 2(x - 2)
Using point-slope form: y - y₁ = m(x - x₁), we get y - 3 = 2(x - 2).

The line passing through (2, 3) perpendicular to the line 4x + 3y = 7 has slope:

A. 3/4 ✓
B. -3/4
C. 4/3
D. -4/3

Answer: A. 3/4
Slope of 4x + 3y = 7 is -4/3. Perpendicular slope = -1/(-4/3) = 3/4.

Three points P(h, 0), Q(0, k), and R(1, 1) are collinear. Which relation must hold?

A. h + k = hk
B. 1/h + 1/k = 1 ✓
C. h - k = 0
D. hk = 1

Answer: B. 1/h + 1/k = 1
For collinearity, slope PQ = slope QR. This gives: -k/h = (1 - k)/(1 - 0). Solving: -k(1) = h(1 - k) → -k = h - hk → h + k = hk. Rearranging: 1/h + 1/k = 1.