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Formula Sheet

Co-ordinate Geometry — Formula Sheet

Maharashtra Board · Class 10 · Mathematics

18 formulas from Co-ordinate Geometry (Maharashtra Board Class 10 Mathematics) on one page, grouped by topic. Covers Distance on a Number Line, Section.

45 questions30 flashcards18 formulas & key relations5 concepts

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18 Entries · 6 Sections

Formulas and Key Relations

Distance on a Number Line and in the XY Plane

Distance between P(-1) and Q(-5) on number line = 4

Distance between Q(-5) and R(4) on number line = 9

AB = √((x2 - x1)^2 + (y2 - y1)^2)

d(O,P) = √(x^2 + y^2)

AC = √17 for A(2,3) and C(-2,2)

Section Formula, Midpoint, and Centroid

Section formula (internal division): ((mx2 + nx1)/(m + n), (my2 + ny1)/(m + n))

Midpoint formula: ((x1 + x2)/2, (y1 + y2)/2)

Centroid formula: ((x1 + x2 + x3)/3, (y1 + y2 + y3)/3)

AG:GD = 2:1

AP/PB = CQ/QD = m/n

Slope of a Line

m = (y2 - y1)/(x2 - x1)

m = tan θ

Slope of X-axis = (0 - 0)/(x2 - x1) = 0

Slope of Y-axis = (y2 - y1)/(0 - 0)

Distance on a Number Line and in the XY-Plane

Distance between P and Q on a number line is 4 when P = -1 and Q = -5.

Distance between Q and R on a number line is 9 when Q = -5 and R = 4.

Section Formula and Midpoint Formula

If AP = 6 and PB = 10, then AP/PB = 3/5.

Centroid of a Triangle

The median AD divides the triangle in such a way that AG:GD = 2:1.

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Frequently Asked Questions

What are the important topics in Co-ordinate Geometry for Maharashtra Board Class 10 Mathematics?
Key topics in Co-ordinate Geometry include Distance on a Number Line and in the XY-Plane, Section Formula and Midpoint Formula, Centroid of a Triangle, Slope of a Line. Study these first, then practise questions on each for the Maharashtra Board Class 10 board exam.
How many formulas are in Co-ordinate Geometry?
This sheet lists 18 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 Maharashtra Board Class 10 board exam?
Learn the core ideas first, then work through the 45 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 Maharashtra Board Class 10 Mathematics Formula Sheet

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