समुच्चय $A=\{a, b, c\}$ में कुल कितने भिन्न संबंध परिभाषित किए जा सकते हैं?

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thedablukumar Asked Jan 12, 2023

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thedablukumar Asked Jan 12, 2023

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यदि $A=\{1,2,3\}$ तो $(1,2)$ को शामिल करते हुए कितने तुल्यता संबंध $A$ पर परिभाषित हो सकते है?

thedablukumar Asked Jan 12, 2023

by thedablukumar

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thedablukumar Asked Jan 12, 2023

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मान लीजिए कि समुच्चय $N$ में $R=\{(a, b): a=b-2, b>6\}$ द्वारा प्रदत्त संबंध $R$ है। निम्नलिखित में से सही उत्तर है —

thedablukumar Asked Jan 12, 2023

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thedablukumar Asked Jan 12, 2023

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संबंध $R=\{(1,3),(4,2),(2,4),(2,3),(3,1)\}$ समुच्चय $A=\{1,2,3,4\}$ प कैसा संबंध है?

thedablukumar Asked Jan 12, 2023

by thedablukumar

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thedablukumar Asked Jan 13, 2023

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यदि $A=\{a, b, c\}, B=\{1,2,3\}$ और $f=\{(a, 1),(b, 2),(c, 2)\}$ तो $f$ कैसा फलन है?

thedablukumar Asked Jan 13, 2023

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thedablukumar Asked Jan 12, 2023

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किसी समतल की सभी सरल रेखाओं के समुच्चय में $R$ लम्ब होने का संबंध है, तो संबंध $R-$ —

thedablukumar Asked Jan 12, 2023

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thedablukumar Asked Jan 13, 2023

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यदि $A=\{1,2,3\}, B=\{6,7,8\}$ तथा $f: A \rightarrow B$ एक फलन है, इस प्रकार कि $f(x)=x+5$, तो $f$ निम्नलिखित में से किस प्रकार का फलन है?

thedablukumar Asked Jan 13, 2023

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thedablukumar Asked Jan 12, 2023

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वास्तविक संख्याओं के समुच्चय में संबंध "छोटा है" निम्नलिखित में कौन-सा संबंध है?

thedablukumar Asked Jan 12, 2023

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thedablukumar Asked Jan 13, 2023

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यदि $A=\{1,2,3\}$ निम्नलिखित में किस फलन $f: A \rightarrow A$ का प्रतिलोम फलन प्राप्त नहीं होगा?

thedablukumar Asked Jan 13, 2023

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thedablukumar Asked Jan 12, 2023

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यदि $n(A)=3$ तथा $n(B)=2$ तो $n(A \times B)=$

thedablukumar Asked Jan 12, 2023

by thedablukumar

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thedablukumar Asked Jan 13, 2023

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यदि $f: R \rightarrow R$ जहाँ $f(x)=5 x+4$ तो $f^{-1}(x)$ निम्नलिखित में कौन होगा?

thedablukumar Asked Jan 13, 2023

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thedablukumar Asked Jan 13, 2023

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यदि $f: R \rightarrow R$ जहाँ $f(x)=3 x-4$ तो $f^{-1}(x)$ निम्नलिखित में कौन है?

thedablukumar Asked Jan 13, 2023

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thedablukumar Asked Jan 13, 2023

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यदि $f(x)=\left(x^2-1\right)$ और $g(x)=(2 x+3)$ तो $(g \circ f)(x)=$?

thedablukumar Asked Jan 13, 2023

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thedablukumar Asked Jan 13, 2023

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$f: A \rightarrow B$ आच्छादक फलन होगा, यदि —

thedablukumar Asked Jan 13, 2023

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thedablukumar Asked Jan 13, 2023

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यदि $f\left(x_1\right)=f\left(x_2\right) \Rightarrow x_1=x_2 \forall x_1, x_2 \in A$, तो $f: A \rightarrow B$ कैसा फलन होगा?

thedablukumar Asked Jan 13, 2023

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thedablukumar Asked Jan 13, 2023

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यदि फलन $f: R \rightarrow R$ इस प्रकार परिभाषित है, कि $f(x)=\left(3-x^3\right)^{\frac{1}{3}}$ तो $f o f(x)$ है — —

thedablukumar Asked Jan 13, 2023

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thedablukumar Asked Jan 13, 2023

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यदि फलन $f: N \rightarrow N$ इस प्रकार परिभाषित है, कि $f(x)=4 x+3$ तो $f^{-1}(x)$= _________

thedablukumar Asked Jan 13, 2023

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AnjaliYadav Asked Jun 24, 2022

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एक $\triangle A B C$ में $A D, B C$ पर लंब है। सिद्ध करें कि $\left(A B^{2}+C D^{2}\right)=\left(A C^{2}+B D^{2}\right)$

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AnjaliYadav Asked Jun 24, 2022

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दो चर $x, y$ में रैखिक समीकरण $a x+b y+c=0$ के कितने अधिकतम हल संभव हैं?

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thedablukumar Asked Jan 12, 2023

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संबंध क्या होता है? Sambandh Kya Hota Hai?

thedablukumar Asked Jan 12, 2023

by thedablukumar

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thedablukumar Asked Jan 13, 2023

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यदि फलन $f: N \rightarrow N$, इस प्रकार परिभाषित है, कि $f(x)=2 x+3$, तो $f^{-1}(x)$=?

thedablukumar Asked Jan 13, 2023

by thedablukumar

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thedablukumar Asked Jan 13, 2023

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यदि $f(x)=8 x^3$ और $g(x)=x^{\frac{1}{3}}$ तो $f o g$=?

thedablukumar Asked Jan 13, 2023

by thedablukumar

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AnjaliYadav Asked Jun 24, 2022

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$\triangle A B C$ में भुजाओं $A B$ तथा $A C$ पर दो बिंदु $D$ और $E$ क्रमशः इस प्रकार हैं कि $D E \| B C$

AnjaliYadav Asked Jun 24, 2022

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Chandan Asked Sep 12, 2023

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Let * be a binary operation on Q defined by $a{ }^* b=\frac{3 a b}{5}$, Show that * is commutative as well as associative. Also find its identity element, if it exists.

Chandan Asked Sep 12, 2023

by Chandan

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Chandan Asked Sep 12, 2023

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Is the binary operation * defined on set N, given by $a * b=\frac{a+b}{2}$ for all $a, b \in Q$, commutative?

Chandan Asked Sep 12, 2023

by Chandan

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LEELADHAR YADAV Asked Aug 22, 2023

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Consider the binary operations $*: R \times R \rightarrow R$ and $o: *: R \times R \rightarrow R$ defined as $a * b=|a-b|$ and $a \circ b=a$ for all $a, b \in R$. Show that ' $x$ ' is commutative but not associative ' $o$ ' is associative but not commutative.

LEELADHAR YADAV Asked Aug 22, 2023

by LEELADHAR YADAV

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LEELADHAR YADAV Asked Aug 22, 2023

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Consider the binary operation * on the set $\{1,2,3,4,5\}$ defined by $a^* b=\min \{a, b\}$. Write the operation table of the operation *.

LEELADHAR YADAV Asked Aug 22, 2023

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LEELADHAR YADAV Asked Aug 22, 2023

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Show that the relation S in the set $A=\{x \in Z: 0 \leq x \leq 12\}$ given by $S=\{(a, b): a, b \in Z,|a-b|$ is divisible by 4$\}$ is an equivalence relation. Find the set of all elements related to 1 .

LEELADHAR YADAV Asked Aug 22, 2023

by LEELADHAR YADAV

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LEELADHAR YADAV Asked Aug 22, 2023

30 views

Show that the relation S in the set $A=\{x \in Z: 0 \leq x \leq 12\}$ given by $S=\{(a, b): a, b \in Z,|a-b|$ is divisible by 4$\}$ is an equivalence relation. Find the set of all elements related to 1 .

LEELADHAR YADAV Asked Aug 22, 2023

by LEELADHAR YADAV

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LEELADHAR YADAV Asked Aug 13, 2023

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Consider a relation R defined on set of square matrices A of order 2 satisfying $A^2=I$. If A, B are two such matrices then relation R is defined as $(A, B) \in R \Rightarrow(A B)^{\top}=A^{\top} B^{\top}$. Prove that relation R is reflexive and symmetric.

LEELADHAR YADAV Asked Aug 13, 2023

by LEELADHAR YADAV

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0 Votes

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LEELADHAR YADAV Asked Aug 13, 2023

26 views

If $\oplus$ is a binary operation on R defined by $a \oplus b=\frac{a}{4}+\frac{b}{7}$ for $a, b \in R$, then show that : $(2 \oplus 5) \oplus 7 \neq 2 \oplus(5 \oplus 7)$.

LEELADHAR YADAV Asked Aug 13, 2023

by LEELADHAR YADAV

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LEELADHAR YADAV Asked Aug 13, 2023

81 views

Let n be a fixed positive integer. Define a relation R on the set of integers Z, $a R b \Leftrightarrow n \mid(a-b)$. Then prove that R is equivalence relation

LEELADHAR YADAV Asked Aug 13, 2023

by LEELADHAR YADAV

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0 Votes

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LEELADHAR YADAV Asked Aug 11, 2023

31 views

Show that ${ }^*: R \times R \rightarrow R$ defined by $a{ }^* b=a+2 b$ is not commutative.

LEELADHAR YADAV Asked Aug 11, 2023

by LEELADHAR YADAV

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LEELADHAR YADAV Asked Aug 11, 2023

93 views

Given a binary operation $: A \times A \rightarrow A$ with the identity element $e$ in $A$, an element $a \in A$ is said to be invertible with respect to the operation * if there exists an element $b$ in A such that $a^* b=e=b^* a$ and $b$ is called the inverse of $a$ and is denoted by ${a}^{-1}$.

LEELADHAR YADAV Asked Aug 11, 2023

by LEELADHAR YADAV

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thedablukumar Asked Jan 20, 2023

36 views

यदि $A=\left[\begin{array}{l}2 \\ 4 \\ 3\end{array}\right]$ तथा $B=[2,3,4]$ तो सिद्ध करें कि $(A B)^{\prime}=B^{\prime} A^{\prime}$

thedablukumar Asked Jan 20, 2023

by thedablukumar

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AnjaliYadav Asked Jun 24, 2022

50 views

एक $\triangle A B C$ के शीर्षबिंदुएँ $A(-3,0), B(5,-2)$ तथा $C(-8,5)$ हैं। इस त्रिभुज का केंद्रक ज्ञात कीजिए।

AnjaliYadav Asked Jun 24, 2022

by AnjaliYadav

1 Answer

3 Votes

50 Views

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समुच्चय $A=\{a, b, c\}$ में कुल कितने भिन्न संबंध परिभाषित किए जा सकते हैं?

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