Straight Lines
Easymathematics
Two lines with slopes m₁ and m₂ are perpendicular if
Select the correct option:
Solution
Incorrect! Answer:
m₁m₂ = -1
- Geometric Principle: If two lines making angles θ1 and θ2 with the positive x-axis are perpendicular, then ∣θ1−θ2∣=90∘.
- Tangent Relation: tanθ1=m1 and tanθ2=m2.
- Perpendicularity Condition: For non-vertical lines, the product of their slopes must be −1 (m1m2=−1).
- Meaning: This implies one slope is the negative reciprocal of the other (m2=−1/m1).
🔒 Solution Hidden from View
Submit your answer to unlock the detailed step-by-step solution.
More straight lines Practice Questions
MediumJEE_ADVANCED
The area of triangle with vertices (0,0), (3,0), and (0,4) is
The area of triangle with vertices (0,0), (3,0), and (0,4) is
View Solution→
EasyJEE_MAIN
The equation of line passing through (2, 3) with slope 2 is
The equation of line passing through (2, 3) with slope 2 is
View Solution→
EasyJEE_MAIN
The distance between points (3, 4) and (6, 8) is
The distance between points (3, 4) and (6, 8) is
View Solution→
EasyJEE_MAIN
The slope of the line 3x + 4y = 12 is
The slope of the line 3x + 4y = 12 is
View Solution→
About This Question
- Subject
- mathematics
- Chapter
- coordinate geometry
- Topic
- straight lines
- Difficulty
- Easy
- Year
- 2025
This easy difficulty mathematics question is from the chapter coordinate geometry, covering the topic of straight lines. It appeared in the 2025 exam. Practice this and similar questions to strengthen your understanding of coordinate geometry concepts.
Looking for more practice? Explore all mathematics questions or browse coordinate geometry questions on RankGuru.