Concurrent Lines
NIOS · Class 10 · Maths
Complete topic list for Concurrent Lines in NIOS Class 10 Maths. Key concepts, sub-topics, and what to focus on for board exams.
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Basic Concepts and Definitions
- Three lines can intersect in 0, 1, 2, or 3 points maximum
- Concurrent lines pass through exactly one common point
- The common point is called the point of concurrency
Angle Bisectors and Incentre
- Three angle bisectors of any triangle are concurrent
- Point of concurrency is called the Incentre (I)
- Incentre is equidistant from all three sides of the triangle
Perpendicular Bisectors and Circumcentre
- Three perpendicular bisectors of triangle sides are concurrent
- Point of concurrency is called Circumcentre (O)
- Circumcentre is equidistant from all three vertices
Altitudes and Orthocentre
- Three altitudes of any triangle are concurrent
- Point of concurrency is called Orthocentre (H)
- Position depends on triangle type
Key Concepts
Central concept: Concurrent Lines
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