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Co-ordinate Geometry

Maharashtra Board · Class 10 · Mathematics

Flashcards for Co-ordinate Geometry — Maharashtra Board Class 10 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.

45 questions30 flashcards5 concepts

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30 Flashcards
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?
Co-ordinate Geometry covers several key topics that are frequently asked in Maharashtra Board Class 10 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Co-ordinate Geometry — Maharashtra Board Class 10 Mathematics?
Understand the core concepts first, then work through the 45 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
How many flashcards are available for Co-ordinate Geometry?
There are 30 flashcards for Co-ordinate Geometry covering key definitions, formulas, and concepts. Use them daily for 10–15 minutes for best results.

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