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Class 11 Mathematics — Chapter 10: Straight Lines

66 practice questions · 22 Easy · 22 Medium · 22 Hard

Practise Class 11 Mathematics Chapter 10, "Straight Lines", with 66 NCERT-aligned multiple-choice questions. The set is split into 22 Easy, 22 Medium and 22 Hard questions, so you can warm up on the fundamentals and then push into the exam-level problems that separate top scorers in CBSE Board exams, JEE Main and JEE Advanced.

"Straight Lines" is one of the chapters where problem-solving speed, formula recall and step-by-step reasoning really pays off. Each MCQ on this chapter is timed and uses exam-grade marking (+2 correct, −1 wrong, 0 skipped), training the same accuracy-under-pressure that real papers demand. Every question carries a short explanation, so a wrong answer becomes a quick lesson rather than a dead end — the fastest way to close gaps before a test.

Use this chapter as targeted revision: attempt the Easy set first to confirm your basics on Straight Lines, then move to Medium and Hard to test application and problem-solving. Your accuracy, streaks and XP save automatically, and the chapter feeds into your overall Class 11 Mathematics mastery score. A few sample questions are shown below; sign in free to practise all 66.

Key concepts: Straight Lines (Class 11 Mathematics)

This chapter covers the slope of a line, the various forms of a line's equation, the angle between lines, and the distance of a point from a line.

Slope
Slope m = (y₂ − y₁)/(x₂ − x₁) = tanθ; parallel lines have equal slopes, perpendicular lines have m₁m₂ = −1.
Forms of a line
Slope-intercept (y = mx + c), point-slope, two-point, intercept and normal forms.
General equation
Ax + By + C = 0 represents every straight line; its slope is −A/B.
Angle between lines
tanθ = |(m₁ − m₂)/(1 + m₁m₂)| gives the acute angle between two lines.
Distance of a point
The perpendicular distance from a point to a line is found with the distance formula.

Key formulas — Straight Lines

Slope
m = (y₂ − y₁)/(x₂ − x₁)
Point–line distance
d = |Ax₁ + By₁ + C| / √(A² + B²)
Angle between lines
tanθ = |(m₁ − m₂)/(1 + m₁m₂)|

💡 Exam tips for Straight Lines

  • Perpendicular lines satisfy m₁·m₂ = −1; parallel lines have equal slopes.
  • Pick the line-form that fits the given data (point + slope, two points, intercepts) to save time.

Sample questions

Q1Easy

Slope of line through (1,2) and (3,8):

A.3✓ correct
B.2
C.4
D.6
Why

(8−2)/(3−1)=3.

Q2Medium

Two non-vertical lines are parallel iff:

A.Slopes are equal✓ correct
B.Slopes are negatives
C.Product of slopes is −1
D.Slopes differ by 1
Why

Same slope → parallel.

Q3Hard

Two lines are perpendicular iff:

A.m₁·m₂ = −1✓ correct
B.m₁ = m₂
C.m₁+m₂=0
D.Both zero
Why

Slopes are negative reciprocals.

Straight Lines — FAQs

What are the key concepts in Class 11 Mathematics Straight Lines?+

This chapter covers the slope of a line, the various forms of a line's equation, the angle between lines, and the distance of a point from a line. Key ideas include Slope, Forms of a line, General equation, Angle between lines, Distance of a point.

What does Class 11 Mathematics Chapter 10 (Straight Lines) cover on XamBaaz?+

It covers 66 NCERT-aligned MCQs on "Straight Lines" — 22 Easy, 22 Medium and 22 Hard — each with a timed quiz and an instant explanation, suitable for CBSE Board exams, JEE Main and JEE Advanced.

Are these "Straight Lines" questions free to practise?+

Yes — sign in with Google to practise "Straight Lines" free. Full unlimited access is ₹999/year (limited-time launch price), with no per-chapter charges.

How should I revise "Straight Lines" for the exam?+

Start with the Easy quiz to confirm your fundamentals, then attempt Medium and Hard for application-level practice. Review each explanation, retry the questions you miss, and track your accuracy on this chapter until it is consistently high.

Practise all 66 questions free

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