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Maths-

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Easy

Question

Let $L$ denote the set of all straight lines in a plane. Let a relation $R$ be defined by $alpha blank R blank beta left right double arrow alpha perpendicular beta comma alpha comma beta element of L.$ Then $R$ is

Reflexive
Symmetric
Transitive
None of these

The correct answer is: Transitive

Related Questions to study

Suppose $A subscript 1 end subscript comma blank A subscript 2 end subscript comma horizontal ellipsis comma A subscript 30 end subscript$ are thirty sets, each having 5 elements and $B subscript 1 end subscript comma blank B subscript 2 end subscript comma blank horizontal ellipsis comma blank B subscript n end subscript$ are $n$ sets each with 3 elements, let
$not stretchy ⋃ subscript i equals 1 end subscript superscript 30 end superscript A subscript i end subscript equals not stretchy ⋃ subscript j equals 1 end subscript superscript n end superscript B subscript j end subscript equals S$ and each element of $S$ belongs to exactly 10 of the $A subscript i end subscript$ 's and exactly 9 of the $B subscript j end subscript$ 's. Then, $n$ is equal to

Suppose $A subscript 1 end subscript comma blank A subscript 2 end subscript comma horizontal ellipsis comma A subscript 30 end subscript$ are thirty sets, each having 5 elements and $B subscript 1 end subscript comma blank B subscript 2 end subscript comma blank horizontal ellipsis comma blank B subscript n end subscript$ are $n$ sets each with 3 elements, let
$not stretchy ⋃ subscript i equals 1 end subscript superscript 30 end superscript A subscript i end subscript equals not stretchy ⋃ subscript j equals 1 end subscript superscript n end superscript B subscript j end subscript equals S$ and each element of $S$ belongs to exactly 10 of the $A subscript i end subscript$ 's and exactly 9 of the $B subscript j end subscript$ 's. Then, $n$ is equal to

Let $P equals open curly brackets open parentheses x comma y close parentheses vertical line x to the power of 2 end exponent plus y to the power of 2 end exponent equals 1 comma x comma y element of R close curly brackets.$ Then, $P$ is

Let $P equals open curly brackets open parentheses x comma y close parentheses vertical line x to the power of 2 end exponent plus y to the power of 2 end exponent equals 1 comma x comma y element of R close curly brackets.$ Then, $P$ is

Three sets $A comma blank B comma blank C$ are such that $A equals B intersection C$ and $B equals C intersection A$ , then

Three sets $A comma blank B comma blank C$ are such that $A equals B intersection C$ and $B equals C intersection A$ , then

parallel

If $A$ is a non-empty set, then which of the following is false?
$p blank colon$ Every reflexive relation is a symmetric relation
$q blank colon$ Every antisymmetric relation is reflexive
Which of the following is/are true?

If $A$ is a non-empty set, then which of the following is false?
$p blank colon$ Every reflexive relation is a symmetric relation
$q blank colon$ Every antisymmetric relation is reflexive
Which of the following is/are true?

If $n open parentheses A close parentheses equals 4 comma blank n open parentheses B close parentheses equals 3 comma blank n open parentheses A cross times B cross times C close parentheses equals 240$ , then $n left parenthesis C right parenthesis$ is equal to

If $n open parentheses A close parentheses equals 4 comma blank n open parentheses B close parentheses equals 3 comma blank n open parentheses A cross times B cross times C close parentheses equals 240$ , then $n left parenthesis C right parenthesis$ is equal to

If $A$ and $B$ are two sets such that $n open parentheses A close parentheses equals 7 comma n open parentheses B close parentheses equals 6$ and $open parentheses A intersection B close parentheses not equal to ϕ.$ Then the greatest possible value of $n open parentheses A blank capital delta blank B close parentheses comma$ is

If $A$ and $B$ are two sets such that $n open parentheses A close parentheses equals 7 comma n open parentheses B close parentheses equals 6$ and $open parentheses A intersection B close parentheses not equal to ϕ.$ Then the greatest possible value of $n open parentheses A blank capital delta blank B close parentheses comma$ is

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The relation “is a factor of” on the set $N$ of all natural numbers is not

The relation “is a factor of” on the set $N$ of all natural numbers is not

The value of $open parentheses A union B union C close parentheses intersection open parentheses A intersection B to the power of C end exponent intersection C to the power of C end exponent close parentheses to the power of C end exponent intersection C to the power of C end exponent$ is

The value of $open parentheses A union B union C close parentheses intersection open parentheses A intersection B to the power of C end exponent intersection C to the power of C end exponent close parentheses to the power of C end exponent intersection C to the power of C end exponent$ is

Let $A equals open curly brackets open parentheses x comma y close parentheses colon y equals e to the power of x end exponent comma x element of R close curly brackets comma$
$B equals open curly brackets open parentheses x comma y close parentheses colon y equals e to the power of negative x end exponent comma x element of R close curly brackets.$ Then,

Let $A equals open curly brackets open parentheses x comma y close parentheses colon y equals e to the power of x end exponent comma x element of R close curly brackets comma$
$B equals open curly brackets open parentheses x comma y close parentheses colon y equals e to the power of negative x end exponent comma x element of R close curly brackets.$ Then,

parallel

The relation $R equals open curly brackets open parentheses 13 close parentheses comma left parenthesis 35 right parenthesis close curly brackets$ is defined on the set with minimum number of elements of natural numbers. The minimum number of elements to be included in $R$ so that $R$ is an equivalence relation, is

The relation $R equals open curly brackets open parentheses 13 close parentheses comma left parenthesis 35 right parenthesis close curly brackets$ is defined on the set with minimum number of elements of natural numbers. The minimum number of elements to be included in $R$ so that $R$ is an equivalence relation, is

If $n open parentheses u close parentheses equals 100 comma n open parentheses A close parentheses equals 50 comma blank n open parentheses B close parentheses equals 20$ and $n open parentheses A intersection B close parentheses equals 10 comma$ then $n open curly brackets open parentheses A union B close parentheses to the power of c end exponent close curly brackets$

If $n open parentheses u close parentheses equals 100 comma n open parentheses A close parentheses equals 50 comma blank n open parentheses B close parentheses equals 20$ and $n open parentheses A intersection B close parentheses equals 10 comma$ then $n open curly brackets open parentheses A union B close parentheses to the power of c end exponent close curly brackets$

If $A equals open curly brackets open parentheses x comma y close parentheses blank colon y equals fraction numerator 4 over denominator x end fraction comma x not equal to 0 close curly brackets$ and
$B equals open curly brackets open parentheses x comma y close parentheses colon x to the power of 2 end exponent plus y to the power of 2 end exponent equals 8 comma x comma y element of R close curly brackets$ , then

If $A equals open curly brackets open parentheses x comma y close parentheses blank colon y equals fraction numerator 4 over denominator x end fraction comma x not equal to 0 close curly brackets$ and
$B equals open curly brackets open parentheses x comma y close parentheses colon x to the power of 2 end exponent plus y to the power of 2 end exponent equals 8 comma x comma y element of R close curly brackets$ , then

parallel

If $A$ and $B$ are two sets, then $A minus left parenthesis A minus B right parenthesis$ is equal to

If $A$ and $B$ are two sets, then $A minus left parenthesis A minus B right parenthesis$ is equal to

A class has 175 students. The following data shows the number of students opting one or more subjects. Mathematics 100; Physics 70; Chemistry 40; Mathematics and Physics 30; Mathematics and Chemistry 28; Physics and Chemistry 23; Mathematics, Physics and Chemistry 18. Hoe many students have offered Mathematics alone?

A class has 175 students. The following data shows the number of students opting one or more subjects. Mathematics 100; Physics 70; Chemistry 40; Mathematics and Physics 30; Mathematics and Chemistry 28; Physics and Chemistry 23; Mathematics, Physics and Chemistry 18. Hoe many students have offered Mathematics alone?

Let $A subscript 1 end subscript comma A subscript 2 end subscript comma A subscript 3 end subscript horizontal ellipsis comma A subscript 100 end subscript$ be 100 sets such that $n open parentheses A subscript i end subscript close parentheses equals i plus 1$ and $A subscript 1 end subscript subset of A subscript 2 end subscript subset of A subscript 3 end subscript subset of horizontal ellipsis subset of A subscript 100 end subscript comma$ then $not stretchy ⋃ from i equals 1 to 100 of A subscript i end subscript$ contains… elements

Let $A subscript 1 end subscript comma A subscript 2 end subscript comma A subscript 3 end subscript horizontal ellipsis comma A subscript 100 end subscript$ be 100 sets such that $n open parentheses A subscript i end subscript close parentheses equals i plus 1$ and $A subscript 1 end subscript subset of A subscript 2 end subscript subset of A subscript 3 end subscript subset of horizontal ellipsis subset of A subscript 100 end subscript comma$ then $not stretchy ⋃ from i equals 1 to 100 of A subscript i end subscript$ contains… elements

parallel

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