S∞ = a/(1−r) a₁ a₂ a₃ ... GP converging to S∞
y=mx+c
Chapter 9  ·  Class XI Mathematics  ·  MCQ Practice

MCQ Practice Arena

Straight Lines

Every Line, Every Angle — Master Coordinate Geometry's Foundation

📋 50 MCQs ⭐ 50 PYQs ⏱ 60 sec/Q
🚀 Start Practising 📖 Revise Notes First

MCQ Bank Snapshot

50Total MCQs
28Easy
14Medium
8Hard
50PYQs
60 secAvg Time/Q
9Topics
Easy 56% Medium 28% Hard 16%

Why Practise These MCQs?

JEE MainJEE AdvancedCBSEBITSAT

Straight Lines feeds directly into Conic Sections — together forming a 15–20% JEE block. JEE Main asks 4–5 direct questions. JEE Advanced uses straight lines in complex geometric configurations. Angle bisectors and family of lines (L₁+λL₂=0) are very high yield. CBSE includes distance and perpendicularity MCQs.

Topic-wise MCQ Breakdown

Slope & Inclination12 Q
Equations of Lines12 Q
Parallel & Perpendicular7 Q
Angle Between Lines5 Q
Distance — Point to Line3 Q
Distance Between Lines2 Q
Foot of Perpendicular0 Q
Concurrent Lines0 Q
Angle Bisectors2 Q
Family of Lines L₁+λL₂0 Q
Locus Problems0 Q
Collinearity2 Q
Area of Triangle0 Q

Must-Know Formulae Before You Start

Recall these cold before attempting MCQs — they appear in >70% of questions.

$\text{m = }(y₂−y₁)/(x₂−x₁)$
$\text{d }= |ax₁+by₁+c|/√(a²+b²)$
$\tan θ = |(m₁−m₂)/(1+m₁m₂)|$
$\text{Parallel: }\ m₁=m₂; \text{Perpendicular }:\ m₁m₂=−1$

MCQ Solving Strategy

Convert all lines to the general form ax+by+c=0 before applying distance/angle formulas — it avoids coefficient errors. For family of lines, write S ≡ L₁+λL₂=0 and use the given condition to find λ. For angle bisector MCQs, the point nearer to the origin lies on the bisector with the + sign in the formula.

⚠ Common Traps & Errors

Difficulty Ladder

Work through each rung in order — do not jump to Hard before mastering Easy.

① Easy

Find slope, write equation in slope-intercept form, basic distance

② Medium

Angle between lines, perpendicular distance, concurrent lines

③ Hard

Family of lines, angle bisectors, locus derivation

★ PYQ

JEE Main — distance + line family; JEE Advanced — complex geometric config

Continue Your Preparation

📖 Chapter Notes Revise concepts & theory 🧠 MCQ Practice Topic-wise Questions 🎯 PYQ Bank Previous year questions ✔️❌ True / False Concept-based True & False questions 📘✔️ Exercises Step by step Solutions to textbook exercises ➡ Next Chapter Conic Sections MCQs
🎯 Knowledge Check

Maths — STRAIGHT LINES

50 Questions Class 11 MCQs
1
The slope of the line passing through the points \((2,3)\) and \((4,7)\) is
(NCERT – Basics)
2
The equation of the x-axis is
(NCERT – Basics)
3
The slope of the line \(3x-4y+5=0\) is
(NCERT – Basics)
4
The point-slope form of a line with slope \(m\) passing through \((x_1,y_1)\) is
(NCERT – Basics)
5
The slope of the y-axis is
(NCERT – Basics)
6
The equation of the line passing through the origin with slope \(5\) is
(NCERT – Basics)
7
The slope of a line parallel to the x-axis is
(NCERT – Basics)
8
The equation of a line with x-intercept \(4\) and y-intercept \(2\) is
(NCERT – Basics)
9
If the slope of a line is negative, then the line is
(NCERT – Basics)
10
The angle made by the line \(y=\sqrt{3}x\) with the x-axis is
(NCERT – Basics)
11
Two lines with slopes \(m_1\) and \(m_2\) are perpendicular if
(NCERT – Conceptual)
12
The equation of a line parallel to \(2x-3y+5=0\) is
(NCERT – Conceptual)
13
The distance between the points \((0,0)\) and \((0,5)\) is
(NCERT – Basics)
14
The slope of the line joining \((1,2)\) and \((3,2)\) is
(NCERT – Basics)
15
The equation of a line perpendicular to the x-axis is
(NCERT – Basics)
16
If a line makes an angle of \(45^\circ\) with the x-axis, its slope is
(NCERT – Conceptual)
17
The general form of a straight line is
(NCERT – Basics)
18
If the slope of a line is zero, the line is
(NCERT – Basics)
19
The equation of the line passing through \((2,3)\) and parallel to \(y=4x+1\) is
(NCERT – Conceptual)
20
The slope of the line \(x=7\) is
(NCERT – Basics)
21
If two lines are parallel, then the angle between them is
(NCERT – Conceptual)
22
The equation of a line with slope \(-2\) and y-intercept \(3\) is
(NCERT – Conceptual)
23
The value of \(m\) for which the line \(y=mx+1\) is parallel to \(3y-6x=5\) is
(NCERT – Conceptual)
24
The line joining the points \((1,1)\) and \((2,3)\) makes an angle \(\theta\) with the x-axis such that \(\tan\theta\) equals
(NCERT – Conceptual)
25
The equation of the line passing through \((0,-2)\) and making an angle \(45^\circ\) with x-axis is
(NCERT – Conceptual)
26
Two lines with slopes \(2\) and \(-\frac{1}{2}\) are
(JEE Level)
27
The angle between the lines \(y=x\) and \(y=-x\) is
(JEE Level)
28
The equation of the line through \((1,2)\) perpendicular to \(3x+4y-5=0\) is
(JEE Level)
29
The distance of the point \((1,2)\) from the line \(x=0\) is
(NCERT – Conceptual)
30
The equation of a line making equal intercepts on the axes is
(JEE Level)
31
The value of \(k\) for which the points \((1,k)\), \((2,3)\), and \((3,5)\) are collinear is
(JEE Level)
32
The equation of the line whose slope is the negative reciprocal of the slope of \(y=3x+1\) is
(JEE Level)
33
The angle between the line \(y=0\) and \(y=x\) is
(NCERT – Conceptual)
34
The equation of a line parallel to the y-axis and at a distance \(4\) units from it is
(JEE Level)
35
The slope of the line joining \((a,b)\) and \((a,c)\) is
(NCERT – Conceptual)
36
The equation of the line passing through \((2,2)\) and making an angle \(30^\circ\) with the x-axis is
(JEE Level)
37
If a line has slope \(m\), the slope of a line perpendicular to it is
(NCERT – Conceptual)
38
The equation of the line passing through the point \((1,-1)\) and parallel to the x-axis is
(NCERT – Basics)
39
The angle between the line \(x+y=0\) and the x-axis is
(JEE Level)
40
The equation of the line joining \((0,0)\) and \((a,b)\) is
(NCERT – Conceptual)
41
The equation of a line whose intercepts are equal in magnitude but opposite in sign is
(JEE Level)
42
The slope of the line making an angle \(135^\circ\) with the x-axis is
(JEE Level)
43
If a line has equation \(y=mx+c\), the y-intercept is
(NCERT – Basics)
44
The condition for two lines to be coincident is
(JEE Level)
45
The equation of the line with slope \(2\) and passing through \((0,3)\) is
(NCERT – Basics)
46
The distance between the parallel lines \(x=2\) and \(x=6\) is
(NCERT – Conceptual)
47
The equation of the line bisecting the angle between the coordinate axes is
(JEE Level)
48
The slope of the line joining \((1,3)\) and \((2,5)\) is
(NCERT – Basics)
49
If a line makes an angle \(\theta\) with the x-axis, then its slope is
(NCERT – Conceptual)
50
The equation of the line perpendicular to \(y=0\) and passing through \((3,4)\) is
(JEE Level)
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Straight Lines Class 11 MCQs – 50 Questions with Answers (NCERT Chapter 9)
Straight Lines Class 11 MCQs – 50 Questions with Answers (NCERT Chapter 9) — Complete Notes & Solutions · academia-aeternum.com
Straight Lines form one of the most foundational chapters in NCERT Class 11 Mathematics and play a critical role in higher mathematics and competitive examinations. This chapter introduces essential concepts such as slope, angle of inclination, equations of lines in different forms, conditions for parallelism and perpendicularity, distance of a point from a line, and angle between two lines. Mastery of these ideas is indispensable for topics like coordinate geometry, conic sections, vectors,…
🎓 Class 11 📐 Mathematics 📖 NCERT ✅ Free Access 🏆 CBSE · JEE
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    STRAIGHT LINES — Learning Resources

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    📌 Exercise
    🎯 Advance MCQs
    📝 Exercises
    Miscellaneous Exercise on Chapter 9 STRAIGHT LINES-Exercise 9.1 STRAIGHT LINES-Exercise 9.2 STRAIGHT LINES-Exercise 9.3

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