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Coordinate Geometry

Madhya Pradesh Board · Class 10 · Mathematics

Flashcards for Coordinate Geometry — Madhya Pradesh Board Class 10 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.

144 questions48 flashcards5 concepts

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A labeled diagram showing the x-axis, y-axis, origin, and a point (x, y) in the first quadrant, illustrating the basic setup of a Cartesian coordinate system.
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48 Flashcards
Card 1Coordinates on axes

Find the coordinates of a point on the x-axis that is 5 units from the origin.

Answer

Step 1: A point on the x-axis has the form (x, 0). Step 2: The distance from the origin is OP = √(x² + y²). Step 3: Here y = 0 and OP = 5, so √(x²) = 5. Step 4: So, x = 5 or x = -5. Answer: The point

Card 2अक्षों पर निर्देशांक

x-अक्ष पर एक बिंदु के निर्देशांक ज्ञात कीजिए जो मूल बिंदु से 5 इकाई दूर है।

Answer

चरण 1: x-अक्ष पर एक बिंदु का रूप (x, 0) है। चरण 2: मूल से दूरी OP = √(x² + y²) है। चरण 3: यहाँ y = 0 और OP = 5 है, इसलिए √(x²) = 5 है। चरण 4: तो, x = 5 or x = -5. उत्तर: बिंदु (5, 0) या (-5, 0) हो सकत

Card 3Distance on x-axis

Find the distance between A(4, 0) and B(6, 0).

Answer

Step 1: Both points lie on the x-axis. Step 2: Distance on the x-axis is found by subtracting x-values. Step 3: AB = 6 - 4 = 2 units. Answer: 2 units

Card 4एक्स-अक्ष पर दूरी

A(4, 0) और B(6, 0) के बीच की दूरी ज्ञात कीजिए।

Answer

चरण 1: दोनों बिंदु x-अक्ष पर स्थित हैं। चरण 2: x-अक्ष पर दूरी x-मानों को घटाकर ज्ञात की जाती है। चरण 3: AB = 6 - 4 = 2 इकाई। उत्तर: 2 इकाई

Card 5Distance on y-axis

Find the distance between C(0, 3) and D(0, 8).

Answer

Step 1: Both points lie on the y-axis. Step 2: Distance on the y-axis is found by subtracting y-values. Step 3: CD = 8 - 3 = 5 units. Answer: 5 units

Card 6वाई-अक्ष पर दूरी

C(0, 3) और D(0, 8) के बीच की दूरी ज्ञात कीजिए।

Answer

चरण 1: दोनों बिंदु y-अक्ष पर स्थित हैं। चरण 2: y-अक्ष पर दूरी, y-मानों को घटाकर ज्ञात की जाती है। चरण 3: CD = 8 - 3 = 5 इकाई। उत्तर: 5 इकाई

Card 7Distance formula

Apply the distance formula to P(4, 6) and Q(6, 8).

Answer

Step 1: Use PQ = √((x2 - x1)² + (y2 - y1)²). Step 2: PQ = √((6 - 4)² + (8 - 6)²) Step 3: PQ = √(2² + 2²) = √8 Step 4: PQ = 2√2 units Answer: 2√2 units

Card 8दूरी सूत्र

पी(4, 6) और क्यू(6, 8) पर दूरी सूत्र लागू करें।

Answer

चरण 1: PQ = √((x2 - x1)² + (y2 - y1)²) का उपयोग करें। चरण 2: PQ = √((6 - 4)² + (8 - 6)²) चरण 3: PQ = √(2² + 2²) = √8 चरण 4: PQ = 2√2 इकाई उत्तर: 2√2 इकाई

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Frequently Asked Questions

What are the important topics in Coordinate Geometry for Madhya Pradesh Board Class 10 Mathematics?
Key topics in Coordinate Geometry include Coordinate Geometry — Complete Formula Map, Coordinate Geometry – Chapter Overview, Coordinate Geometry – Formula Overview. These are the concepts Madhya Pradesh Board Class 10 examiners draw on most — study them first, then practise related questions.
How to score full marks in Coordinate Geometry — Madhya Pradesh Board Class 10 Mathematics?
Understand the core concepts first, then work through the 144 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 Coordinate Geometry?
There are 48 flashcards for Coordinate Geometry covering key definitions, formulas, and concepts. Use them daily for 10–15 minutes for best results.

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