Section Formula
ICSE · Class 10 · Mathematics
Quick revision notes for Section Formula — ICSE Class 10 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
Key Topics to Revise
Section Formula for Internal Division
- A point P divides the line segment joining two points A and B internally when P lies between A and B
- The ratio m:n means that AP:PB = m:n, where AP and PB are the distances from A to P and P to B respectively
- The section formula gives the exact coordinates of the dividing point when we know the coordinates of the endpoints and the ratio
Mid-Point Formula
- The mid-point is a special case of section formula where the point divides the line segment in the ratio 1:1
- Mid-point is equidistant from both endpoints of the line segment
- The formula is obtained by substituting m=n=1 in the section formula
Centroid of a Triangle
- The centroid is the point where all three medians of a triangle intersect
- A median is a line segment joining a vertex to the mid-point of the opposite side
- The centroid divides each median in the ratio 2:1, with the longer segment towards the vertex
Applications in Quadrilaterals
- Section formula helps prove properties of special quadrilaterals
- Mid-point formula is used to show when diagonals bisect each other
- Different quadrilaterals have specific properties related to their diagonals
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Section Formula covers several key topics that are frequently asked in ICSE Class 10 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
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