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Co-ordinate Geometry — Flashcards

Maharashtra Board · Class 10 · Mathematics

30 flashcards for Co-ordinate Geometry (Maharashtra Board Class 10 Mathematics) to test yourself on key terms and facts.

45 questions30 flashcards18 formulas & key relations5 concepts

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30 Flashcards·
Distance on number lineDistance formulaDistance formula conceptDistance from originDivision of line segmentSection formula
Card 1Distance on number line

Solve: Find the distance between P(-1) and Q(-5) on a number line.

Answer

Step 1: Use distance on a number line = larger coordinate - smaller coordinate. Step 2: |-1 - (-5)| = |-1 + 5| = |4|. Answer: 4…

Card 2Distance on number line

Solve: Find the distance between Q(-5) and R(4) on a number line.

Answer

Step 1: Find the difference: 4 - (-5). Step 2: 4 + 5 = 9. Answer: 9…

Card 3Distance formula

Solve: Find the distance between A(2,3) and C(-2,2) using the distance formula.

Answer

Step 1: Use AB = sqrt((x2 - x1)^2 + (y2 - y1)^2). Step 2: AC = sqrt((-2 - 2)^2 + (2 - 3)^2). Step 3: AC = sqrt((-4)^2 + (-1)^2). Step 4: AC = sqrt(16 + 1) = sqrt(17). Answer: sqrt(17)…

Card 4Distance formula concept

Why does the distance formula give the same answer even if the order of points is reversed?

Answer

Notice that squaring removes the sign. If the points are P(x1,y1) and Q(x2,y2), then: PQ^2 = (x2 - x1)^2 + (y2 - y1)^2 and also PQ^2 = (x1 - x2)^2 + (y1 - y2)^2. Both are equal because (a)^2 = (-a)^2.

Card 5Distance formula

Formula for distance between two points in the plane.

Answer

AB = sqrt((x2 - x1)^2 + (y2 - y1)^2) Here A(x1,y1) and B(x2,y2) are two points. Quick use: For A(2,3) and B(-2,2), the distance is sqrt(17).

Card 6Distance from origin

Apply the distance-from-origin formula to a point P(x,y).

Answer

Use d(O,P) = sqrt(x^2 + y^2). Example: If P(3,4), then d(O,P) = sqrt(3^2 + 4^2) = sqrt(9 + 16) = sqrt(25) = 5. Answer: 5 units…

Card 7Division of line segment

Solve: A point P divides AB in the ratio 3:5. If AP = 6 and PB = 10, what is AP/PB?

Answer

Step 1: Write the ratio as AP/PB. Step 2: AP/PB = 6/10. Step 3: Simplify = 3/5. Answer: 3/5…

Card 8Section formula

When do you use the section formula?

Answer

Use the section formula when a point divides a line segment in a given ratio. Formula: ( (mx2 + nx1)/(m + n), (my2 + ny1)/(m + n) ) Example: If A(x1,y1) and B(x2,y2) are divided in ratio 3:2, substitu…

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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 flashcards are available for Co-ordinate Geometry?
There are 30 flashcards for Co-ordinate Geometry covering key definitions, facts and ideas. A few sample cards are shown on this page.
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.

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