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What type of कारक समास is formed by combining a noun with a karak indicating the doer of the action?
What type of कारक समास is formed by combining a noun with a karak indicating the doer of the action?
What is the term for the second word in a कारक समास compound?
What is the term for the second word in a कारक समास compound?
What is the meaning of the compound word पितृव्य (pitṛ-vya) formed by कारक समास?
What is the meaning of the compound word पितृव्य (pitṛ-vya) formed by कारक समास?
Which type of कारक समास is formed by combining a noun with a karak indicating the instrument of the action?
Which type of कारक समास is formed by combining a noun with a karak indicating the instrument of the action?
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What is the meaning of the compound word मातृभक्त (mātṛ-bhakta) formed by कारक समास?
What is the meaning of the compound word मातृभक्त (mātṛ-bhakta) formed by कारक समास?
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Which type of कारक समास is formed by combining a noun with a karak indicating the source of the action?
Which type of कारक समास is formed by combining a noun with a karak indicating the source of the action?
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What is the characteristic of the resulting compound word in कारक समास?
What is the characteristic of the resulting compound word in कारक समास?
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What is the general term for the type of compound word formation in which कारक समास is a specific type?
What is the general term for the type of compound word formation in which कारक समास is a specific type?
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यदि बहुपद x⁵+x⁴ + x³ + x² + 2x + 2 को q(x) से भाग दिया जाता है, तो भागफल क्या प्राप्त होगा?
यदि बहुपद x⁵+x⁴ + x³ + x² + 2x + 2 को q(x) से भाग दिया जाता है, तो भागफल क्या प्राप्त होगा?
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Q(x) से x⁵+x⁴ + x³ + x² + 2x + 2 को भाग देने पर शेषफल क्या प्राप्त होगा?
Q(x) से x⁵+x⁴ + x³ + x² + 2x + 2 को भाग देने पर शेषफल क्या प्राप्त होगा?
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यदि x² + x + 1 भागफल है और x + 1 शेषफल है, तो q(x) का मान क्या होगा?
यदि x² + x + 1 भागफल है और x + 1 शेषफल है, तो q(x) का मान क्या होगा?
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Q(x) का मान निकालने के लिए हमें क्या जानना आवश्यक है?
Q(x) का मान निकालने के लिए हमें क्या जानना आवश्यक है?
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क्या q(x) का मान प्राप्त करने के लिए भागफल और शेषफल पर्याप्त हैं?
क्या q(x) का मान प्राप्त करने के लिए भागफल और शेषफल पर्याप्त हैं?
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Study Notes
कारक समास (Karak Samas)
Definition
- कारक समास is a type of समास (compound word) in Sanskrit, where two or more words are combined to form a new word.
- In कारक समास, the second word is a कारक (karak), which is a grammatical term indicating a noun's relation to the verb.
Characteristics
- The first word is usually a noun or a pronoun.
- The second word is a कारक, indicating the relationship between the noun and the verb.
- The resulting compound word has a specific meaning that is different from the individual words.
Examples
- कर्तृ समास: Agent-compound, where the second word indicates the doer of the action.
- Example: पितृव्य (pitṛ-vya) - brother's father (पितृ = father, व्य = brother)
- कर्म समास: Object-compound, where the second word indicates the object of the action.
- Example: ग्रामपाल (grāma-pāla) - village guardian (ग्राम = village, पाल = guardian)
- करण समास: Instrument-compound, where the second word indicates the instrument of the action.
- Example: हस्तलेख (hasta-lekha) - hand-writing (हस्त = hand, लेख = writing)
- संप्रदान समास: Recipient-compound, where the second word indicates the recipient of the action.
- Example: मातृभक्त (mātṛ-bhakta) - mother's devotee (मातृ = mother, भक्त = devotee)
- अपादान समास: Source-compound, where the second word indicates the source of the action.
- Example: मुखापसृत (mukha-apasṛt) - face-turned (मुख = face, अपसृत = turned away)
कारक समास (Karak Samas)
Definition
- Karak Samas is a type of compound word in Sanskrit where two or more words combine to form a new word.
- The second word in a Karak Samas is a Karak, which indicates a noun's relation to the verb.
Characteristics
- The first word is usually a noun or a pronoun.
- The second word is a Karak, indicating the relationship between the noun and the verb.
- The resulting compound word has a specific meaning that differs from the individual words.
Types of Karak Samas
कर्तृ समास (Agent-Compound)
- Indicates the doer of the action.
- Example: पितृव्य (pitṛ-vya) - brother's father (पितृ = father, व्य = brother)
कर्म समास (Object-Compound)
- Indicates the object of the action.
- Example: ग्रामपाल (grāma-pāla) - village guardian (ग्राम = village, पाल = guardian)
करण समास (Instrument-Compound)
- Indicates the instrument of the action.
- Example: हस्तलेख (hasta-lekha) - hand-writing (हस्त = hand, लेख = writing)
संप्रदान समास (Recipient-Compound)
- Indicates the recipient of the action.
- Example: मातृभक्त (mātṛ-bhakta) - mother's devotee (मातृ = mother, भक्त = devotee)
अपादान समास (Source-Compound)
- Indicates the source of the action.
- Example: मुखापसृत (mukha-apasṛt) - face-turned (मुख = face, अपसृत = turned away)
Dividend and Divisor
- The given polynomial is x⁵ + x⁴ + x³ + x² + 2x + 2.
- The quotient (q(x)) is to be found.
- When the polynomial is divided by q(x), the quotient is x² + x + 1.
- The remainder is x + 1.
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Take this quiz to test your understanding of Karak Samas, a type of compound word in Sanskrit where a noun or pronoun is combined with a karak, indicating the noun's relation to the verb.
