Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

In a set of teachers of a school, two teachers are said to be related if they “teach the same subject”, then the relation is

Reflexive and symmetric
Symmetric and transitive
Reflexive and transitive
Equivalence

The correct answer is: Equivalence

Clearly, given relation is an equivalence relation

Related Questions to study

Let $L$ be the set of all straight lines in the Euclidean plane. Two lines $l subscript 1 end subscript$ and $l subscript 2 end subscript$ are said to be related by the relation $R$ iff $l subscript 1 end subscript$ is parallel to $l subscript 2 end subscript.$ Then, the relation $R$ is not

Let $L$ be the set of all straight lines in the Euclidean plane. Two lines $l subscript 1 end subscript$ and $l subscript 2 end subscript$ are said to be related by the relation $R$ iff $l subscript 1 end subscript$ is parallel to $l subscript 2 end subscript.$ Then, the relation $R$ is not

Consider the set $A$ of all determinants of order 3 with entries 0 or 1 only. Let $B$ be the subset of $A$ consisting of all determinants with value 1. Let C be the subset of the set of all determinants with value $negative 1.$ Then

Consider the set $A$ of all determinants of order 3 with entries 0 or 1 only. Let $B$ be the subset of $A$ consisting of all determinants with value 1. Let C be the subset of the set of all determinants with value $negative 1.$ Then

Let $R$ and $S$ be two equivalence relations on a set $A.$ Then,

Let $R$ and $S$ be two equivalence relations on a set $A.$ Then,

parallel

Let $n$ be a fixed positive integer. Define a relation $R$ on the set $Z$ of integers by, $a blank R blank b left right double arrow n blank vertical line blank a minus b.$ Then, $R$ is not

Let $n$ be a fixed positive integer. Define a relation $R$ on the set $Z$ of integers by, $a blank R blank b left right double arrow n blank vertical line blank a minus b.$ Then, $R$ is not

In the set $A equals open curly brackets 1 comma blank 2 comma blank 3 comma blank 4 comma blank 5 close curly brackets comma$ a relation $R$ is defined by $R equals open curly brackets open parentheses x comma y close parentheses colon x comma y element of A blank a n d blank x less than y close curly brackets.$ Then, $R$ is

In the set $A equals open curly brackets 1 comma blank 2 comma blank 3 comma blank 4 comma blank 5 close curly brackets comma$ a relation $R$ is defined by $R equals open curly brackets open parentheses x comma y close parentheses colon x comma y element of A blank a n d blank x less than y close curly brackets.$ Then, $R$ is

Let $A$ be a set of compartments in a train. Then the relation $R$ defined on $A$ as $a R b$ iff $" a$ and $b$ have the link between them”, then which of the following is true for $R ?$

Let $A$ be a set of compartments in a train. Then the relation $R$ defined on $A$ as $a R b$ iff $" a$ and $b$ have the link between them”, then which of the following is true for $R ?$

parallel

If $A$ is a finite set having $n$ elements, then $P left parenthesis A right parenthesis$ has

If $A$ is a finite set having $n$ elements, then $P left parenthesis A right parenthesis$ has

If $A equals open curly brackets ϕ comma open curly brackets ϕ close curly brackets close curly brackets comma$ then the power set of $A$ is

If $A equals open curly brackets ϕ comma open curly brackets ϕ close curly brackets close curly brackets comma$ then the power set of $A$ is

If $S$ is the set of squares and $R$ is the set of rectangles, then $open parentheses S union R close parentheses minus left parenthesis S intersection S right parenthesis$ is

If $S$ is the set of squares and $R$ is the set of rectangles, then $open parentheses S union R close parentheses minus left parenthesis S intersection S right parenthesis$ is

parallel

Let $A$ and $B$ be two sets, then $open parentheses A union B close parentheses to the power of ´ end exponent union open parentheses A to the power of ´ end exponent intersection B close parentheses$ is equal to

Let $A$ and $B$ be two sets, then $open parentheses A union B close parentheses to the power of ´ end exponent union open parentheses A to the power of ´ end exponent intersection B close parentheses$ is equal to

If $A equals open curly brackets 13 comma 57 comma 911131517 close curly brackets comma B equals left curly bracket 24 horizontal ellipsis comma 18 right curly bracket$ and $N$ is the universal set, then $A ´ union left parenthesis left parenthesis A union B right parenthesis intersection B ´ right parenthesis$ is

If $A equals open curly brackets 13 comma 57 comma 911131517 close curly brackets comma B equals left curly bracket 24 horizontal ellipsis comma 18 right curly bracket$ and $N$ is the universal set, then $A ´ union left parenthesis left parenthesis A union B right parenthesis intersection B ´ right parenthesis$ is

From 50 students taking examinations in Mathematics, Physics and Chemistry, 37 passed Mathematics, 24 Physics and 43 Chemistry. At most 19 passed Mathematics and Physics, at most 29 passed Mathematics and Chemistry and at most 20 passed Physics and Chemistry. The largest possible number that could have passed all three examinations is

From 50 students taking examinations in Mathematics, Physics and Chemistry, 37 passed Mathematics, 24 Physics and 43 Chemistry. At most 19 passed Mathematics and Physics, at most 29 passed Mathematics and Chemistry and at most 20 passed Physics and Chemistry. The largest possible number that could have passed all three examinations is

parallel

If $R equals left curly bracket open parentheses a comma b close parentheses colon open vertical bar a plus b close vertical bar equals a plus b right curly bracket$ is a relation defined on a set $open curly brackets negative 1 comma blank 0 comma blank 1 close curly brackets comma$ then $R$ is

If $R equals left curly bracket open parentheses a comma b close parentheses colon open vertical bar a plus b close vertical bar equals a plus b right curly bracket$ is a relation defined on a set $open curly brackets negative 1 comma blank 0 comma blank 1 close curly brackets comma$ then $R$ is

A survey shows that 63% of the Americans like cheese whereas 76% like apples. If $x$ % of the Americans like both cheese and apples, then

A survey shows that 63% of the Americans like cheese whereas 76% like apples. If $x$ % of the Americans like both cheese and apples, then

For real numbers $x$ and $y comma$ we write $x blank R y left right double arrow x minus y plus square root of 2$ is an irrational number. Then, the relation $R$ is

For real numbers $x$ and $y comma$ we write $x blank R y left right double arrow x minus y plus square root of 2$ is an irrational number. Then, the relation $R$ is

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.