Pair of Linear Equations in Two Variables — Flashcards
CBSE · Class 10 · Mathematics
56 flashcards for Pair of Linear Equations in Two Variables (CBSE Class 10 Mathematics) to test yourself on key terms and facts.
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Solve the pair: x + 3y = 6 and 2x - 3y = 12.
Answer
Step 1: Add the equations to eliminate y. (x + 3y) + (2x - 3y) = 6 + 12 3x = 18 Step 2: Solve for x. x = 6 Step 3: Substitute x = 6 in x + 3y = 6. 6 + 3y = 6 3y = 0 y = 0 Answer: x = 6, y = 0…
जोड़ी हल करें: x + 3y = 6 and 2x - 3y = 12.
Answer
चरण 1: y को हटाने के लिए समीकरणों को जोड़ें। (x + 3y) + (2x - 3y) = 6 + 12 3x = 18 चरण 2: x के लिए हल करें। x = 6 चरण 3: x = 6 in x + 3y = 6. को प्रतिस्थापित करें 6 + 3y = 6 3y = 0 y = 0 उत्तर: x = 6,…
Solve graphically: x - 2y = 0 and 3x + 4y - 20 = 0.
Answer
Step 1: Rewrite the equations. x = 2y 3x + 4y = 20 Step 2: The lines intersect because the coefficients are not proportional in the same ratio. Step 3: Check a common solution. From x = 2y, substitute…
ग्राफिक रूप से हल करें: x - 2y = 0 and 3x + 4y - 20 = 0.
Answer
चरण 1: समीकरणों को फिर से लिखें। x = 2y 3x + 4y = 20 चरण 2: रेखाएँ प्रतिच्छेद करती हैं क्योंकि गुणांक समान अनुपात में आनुपातिक नहीं हैं। चरण 3: एक उभयनिष्ठ हल की जाँच करें। x = 2y से, 3x + 4y = 20. मे…
What happens when two linear equations represent the same line?
Answer
If two equations are equivalent, they represent coincident lines. Step 1: Every point on one line lies on the other. Step 2: So there are infinitely many common solutions. Example: 2x + 3y = 9 and 4x …
जब दो रैखिक समीकरण एक ही रेखा को दर्शाते हैं तो क्या होता है?
Answer
यदि दो समीकरण तुल्य हैं, तो वे संपाती रेखाओं को दर्शाते हैं। चरण 1: एक रेखा पर स्थित प्रत्येक बिंदु दूसरी रेखा पर स्थित होता है। चरण 2: इसलिए अनगिनत उभयनिष्ठ हल होते हैं। उदाहरण: 2x + 3y = 9 and 4x + …
Find the condition for intersecting lines in a pair of linear equations.
Answer
General form: a1x + b1y + c1 = 0 a2x + b2y + c2 = 0 Condition for intersecting lines: a1/a2 ≠ b1/b2 Meaning: the pair has one unique solution. Quick example: x - 2y = 0 and 3x + 4y - 20 = 0 satisfy t…
एक रैखिक समीकरणों के युग्म में प्रतिच्छेदन रेखाओं की शर्त ज्ञात कीजिए।
Answer
सामान्य रूप: a1x + b1y + c1 = 0 a2x + b2y + c2 = 0 प्रतिच्छेदी रेखाओं की शर्त: a1/a2 ≠ b1/b2 अर्थ: इस युग्म का एक अद्वितीय हल है। त्वरित उदाहरण: x - 2y = 0 and 3x + 4y - 20 = 0 satisfy this condition…
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- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
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