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Formula Sheet

Co-Ordinate Geometry — Formula Sheet

NIOS · Class 10 · Maths

5 formulas from Co-Ordinate Geometry (NIOS Class 10 Maths) on one page, grouped by topic. Part of the NIOS Class 10 Maths syllabus.

38 questions28 flashcards5 formulas & key relations5 concepts

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A labeled diagram showing the XOX' and YOY' axes, origin, and four quadrants in a Cartesian coordinate system.
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5 Entries · 3 Sections

Formulas and Key Relations

2. Distance Formula

PQ = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Distance from origin = \sqrt{x_1^2 + y_1^2}

3. Section Formula and Mid-Point Formula

\left(\frac{mx_2 + nx_1}{m+n},\ \frac{my_2 + ny_1}{m+n}\right)

\left(\frac{x_1 + x_2}{2},\ \frac{y_1 + y_2}{2}\right)

4. Centroid of a Triangle

G = \left(\frac{x_1 + x_2 + x_3}{3},\ \frac{y_1 + y_2 + y_3}{3}\right)

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Frequently Asked Questions

What are the important topics in Co-Ordinate Geometry for NIOS Class 10 Maths?
Key topics in Co-Ordinate Geometry include Co-ordinate System and Basic Terms, Quadrants and Sign Conventions, Distance Formula and Distance from Origin, Section Formula and Mid-Point Formula. Study these first, then practise questions on each for the NIOS Class 10 board exam.
How many formulas are in Co-Ordinate Geometry?
This sheet lists 5 formulas from Co-Ordinate Geometry, grouped by topic. Learn what each symbol stands for so you can apply the formula, not just recall it.
How should I revise Co-Ordinate Geometry for the NIOS Class 10 board exam?
Learn the core ideas first, then work through the 38 practice questions on Co-Ordinate Geometry. 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.

More resources for Co-Ordinate Geometry

All NIOS Class 10 Maths Formula Sheet

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