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Chapter 18 of 26
Formula Sheet

Constructions — Formula Sheet

NIOS · Class 10 · Maths

3 formulas from Constructions (NIOS Class 10 Maths) on one page, grouped by topic. Part of the NIOS Class 10 Maths syllabus.

43 questions24 flashcards3 formulas & key relations5 concepts

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A step-by-step diagram illustrating the construction of dividing a line segment AB internally in a given ratio (e.g., 2:3) using a ray and parallel lines. Shows the initial line segment, the acute ang
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3 Entries · 2 Sections

Formulas and Key Relations

2. Division of a line segment in ratio

Total points = sum of ratio = 2 + 3 = 5

4. Perimeter and base angles construction

∠YXP = 30° [which is (1/2) × 60°]

∠XYQ = 22.5° [which is (1/2) × 45°]

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Frequently Asked Questions

What are the important topics in Constructions for NIOS Class 10 Maths?
Key topics in Constructions include Division of a Line Segment in a Given Ratio, Construction of Triangles, Similar Triangles by Scale Factor, Tangents to a Circle. Study these first, then practise questions on each for the NIOS Class 10 board exam.
How many formulas are in Constructions?
This sheet lists 3 formulas from Constructions, grouped by topic. Learn what each symbol stands for so you can apply the formula, not just recall it.
How should I revise Constructions for the NIOS Class 10 board exam?
Learn the core ideas first, then work through the 43 practice questions on Constructions. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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All NIOS Class 10 Maths Formula Sheet

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