Karak Samas in Sanskrit
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Questions and Answers

What type of कारक समास is formed by combining a noun with a karak indicating the doer of the action?

  • कर्तृ समास (correct)
  • कर्म समास
  • संप्रदान समास
  • करण समास

What is the term for the second word in a कारक समास compound?

  • Adjective
  • Noun or pronoun
  • Verb
  • Karak (correct)

What is the meaning of the compound word पितृव्य (pitṛ-vya) formed by कारक समास?

  • Father's son
  • Father's brother
  • Brother's son
  • Brother's father (correct)

Which type of कारक समास is formed by combining a noun with a karak indicating the instrument of the action?

<p>करण समास (D)</p> Signup and view all the answers

What is the meaning of the compound word मातृभक्त (mātṛ-bhakta) formed by कारक समास?

<p>Mother's devotee (B)</p> Signup and view all the answers

Which type of कारक समास is formed by combining a noun with a karak indicating the source of the action?

<p>अपादान समास (A)</p> Signup and view all the answers

What is the characteristic of the resulting compound word in कारक समास?

<p>It has a specific meaning different from the individual words (A)</p> Signup and view all the answers

What is the general term for the type of compound word formation in which कारक समास is a specific type?

<p>Samasa (D)</p> Signup and view all the answers

यदि बहुपद x⁵+x⁴ + x³ + x² + 2x + 2 को q(x) से भाग दिया जाता है, तो भागफल क्या प्राप्त होगा?

<p>x² + x + 1</p> Signup and view all the answers

Q(x) से x⁵+x⁴ + x³ + x² + 2x + 2 को भाग देने पर शेषफल क्या प्राप्त होगा?

<p>x + 1</p> Signup and view all the answers

यदि x² + x + 1 भागफल है और x + 1 शेषफल है, तो q(x) का मान क्या होगा?

<p>(x⁵+x⁴ + x³ + x² + 2x + 2) / (x² + x + 1) = q(x)</p> Signup and view all the answers

Q(x) का मान निकालने के लिए हमें क्या जानना आवश्यक है?

<p>भागफल और शेषफल की आवश्यकता है</p> Signup and view all the answers

क्या q(x) का मान प्राप्त करने के लिए भागफल और शेषफल पर्याप्त हैं?

<p>हाँ, भागफल और शेषफल पर्याप्त हैं</p> Signup and view all the answers

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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