A1 Proofs In Mathematics — Flashcards
Madhya Pradesh Board · Class 10 · Mathematics
56 flashcards for A1 Proofs In Mathematics (Madhya Pradesh Board Class 10 Mathematics) to test yourself on key terms and facts.
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State whether this is a mathematical statement: "Go and finish your homework".
Answer
Step 1: Check the sentence type. It gives an order. Step 2: A statement cannot be an order, exclamation, or question. Answer: Not a mathematical statement.
क्या यह एक गणितीय कथन है: "जाओ और अपना गृहकार्य पूरा करो"।
Answer
चरण 1: वाक्य का प्रकार जाँचें। यह एक आदेश देता है. चरण 2: एक कथन आदेश, विस्मयादिबोधक, या प्रश्न नहीं हो सकता. उत्तर: यह गणितीय कथन नहीं है.
State whether this is a mathematical statement: "The speed of light is approximately 3 × 10^5 km/s".
Answer
Step 1: Check whether it is always true, always false, or ambiguous. Step 2: This is a factual sentence with a definite truth value. Answer: It is a mathematical statement and it is always true.
क्या यह एक गणितीय कथन है: "प्रकाश की गति लगभग 3 × 10^5 km/s है"।
Answer
चरण 1: जाँचें कि यह हमेशा सत्य है, हमेशा असत्य है, या अस्पष्ट है. चरण 2: यह एक तथ्यात्मक वाक्य है जिसका एक निश्चित सत्य मान है. उत्तर: यह एक गणितीय कथन है और यह हमेशा सत्य है.
For the statement p: "It rained in Delhi on 1 September 2005", write its negation.
Answer
Step 1: Start with "not". Step 2: Keep the statement meaning clear. Negation: It is false that it rained in Delhi on 1 September 2005. A shorter form is: It did not rain in Delhi on 1 September 2005.
कथन p: "1 September 2005 को Delhi में बारिश हुई थी", का निषेध लिखिए।
Answer
चरण 1: "नहीं" से शुरू करें. चरण 2: कथन का अर्थ स्पष्ट रखें. निषेध: यह असत्य है कि 1 September 2005 को Delhi में बारिश हुई थी. एक छोटा रूप है: 1 September 2005 को Delhi में बारिश नहीं हुई थी.
Write the correct negation of: "All teachers are female".
Answer
Step 1: Begin with "not". Step 2: Be careful with the word "All". Correct negation: Not all teachers are female. Meaning: At least one teacher is not female. Common mistake: "All teachers are not fema…
"सभी शिक्षक स्त्री हैं" का सही निषेध लिखिए।
Answer
चरण 1: "नहीं" से शुरू करें. चरण 2: "सभी" शब्द के बारे में सावधान रहें. सही निषेध: सभी शिक्षक स्त्री नहीं हैं. अर्थ: कम-से-कम एक शिक्षक स्त्री नहीं है. सामान्य गलती: "सभी शिक्षक स्त्री नहीं हैं" भ्रामक…
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