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Chapter 9 of 14
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Straight Lines

Madhya Pradesh Board · Class 11 · Mathematics

Flashcards for Straight Lines — Madhya Pradesh Board Class 11 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.

206 questions60 flashcards5 concepts

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Card 1Slope of a Line

Find the slope of the line through the points (3, -2) and (-1, 4).

Answer

Use the slope formula: m = (y2 - y1) / (x2 - x1) Step 1: Substitute the points: m = (4 - (-2)) / (-1 - 3) Step 2: Simplify: m = 6 / -4 Step 3: Reduce the fraction: m = -3/2 Answer: The slope is -3/2.

Card 2रेखा का ढलान

बिंदुओं (3, -2) और (-1, 4) से गुजरने वाली रेखा का ढलान ज्ञात कीजिए।

Answer

ढलान सूत्र का उपयोग करें: m = (y2 - y1) / (x2 - x1) चरण 1: बिंदुओं को प्रतिस्थापित करें: m = (4 - (-2)) / (-1 - 3) चरण 2: सरल करें: m = 6 / -4 चरण 3: भिन्न को कम करें: m = -3/2 उत्तर: ढलान -3/2 है।

Card 3Slope of a Line

Find the slope of the line through the points (3, -2) and (7, -2).

Answer

Use m = (y2 - y1) / (x2 - x1) Step 1: Substitute: m = (-2 - (-2)) / (7 - 3) Step 2: Simplify: m = 0 / 4 Step 3: Final value: m = 0 Answer: The slope is 0. This is a horizontal line.

Card 4रेखा का ढलान

बिंदुओं (3, -2) और (7, -2) से गुजरने वाली रेखा का ढलान ज्ञात कीजिए।

Answer

m = (y2 - y1) / (x2 - x1) का प्रयोग करें चरण 1: प्रतिस्थापित करें: m = (-2 - (-2)) / (7 - 3) चरण 2: सरल करें: m = 0 / 4 चरण 3: अंतिम मान: m = 0 उत्तर: ढलान 0 है। यह एक क्षैतिज रेखा है।

Card 5Slope of a Line

Find the slope of the line through the points (3, -2) and (3, 4).

Answer

Use m = (y2 - y1) / (x2 - x1) Step 1: Substitute: m = (4 - (-2)) / (3 - 3) Step 2: Simplify: m = 6 / 0 Step 3: Division by 0 is not defined Answer: The slope is not defined. This is a vertical line.

Card 6रेखा का ढलान

बिंदुओं (3, -2) और (3, 4) से गुजरने वाली रेखा का ढलान ज्ञात कीजिए।

Answer

m = (y2 - y1) / (x2 - x1) का उपयोग करें चरण 1: प्रतिस्थापित करें: m = (4 - (-2)) / (3 - 3) चरण 2: सरल करें: m = 6 / 0 चरण 3: 0 से विभाजन परिभाषित नहीं है उत्तर: ढलान परिभाषित नहीं है। यह एक ऊर्ध्वाधर

Card 7Slope and Inclination

If a line makes an inclination of 60° with the positive x-axis, find its slope.

Answer

Use m = tan θ Step 1: Here θ = 60° Step 2: Substitute: m = tan 60° Step 3: tan 60° = √3 Answer: The slope is √3.

Card 8ढलान और झुकाव

यदि कोई रेखा धनात्मक x-अक्ष के साथ 60° का झुकाव बनाती है, तो उसकी ढलान ज्ञात कीजिए।

Answer

m = tan θ का प्रयोग करें चरण 1: यहाँ θ = 60° चरण 2: प्रतिस्थापित करें: m = tan 60° चरण 3: tan 60° = √3 उत्तर: ढलान √3. है

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What are the important topics in Straight Lines for Madhya Pradesh Board Class 11 Mathematics?
Straight Lines covers several key topics that are frequently asked in Madhya Pradesh Board Class 11 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
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Understand the core concepts first, then work through the 206 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
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