When a body fall freely under the gravity. The final velocity of body will be

Hence, the relation is only transitive.

The relation R defined in A = {1, 2, 3} by a $R b text if end text open vertical bar a to the power of 2 end exponent minus b to the power of 2 end exponent close vertical bar less or equal than 5$ Which of the following is false-

Hence, Range of R = {5} is the wrong option.

The relation R defined in A = {1, 2, 3} by a $R b text if end text open vertical bar a to the power of 2 end exponent minus b to the power of 2 end exponent close vertical bar less or equal than 5$ Which of the following is false-

Hence, Range of R = {5} is the wrong option.

Let R be a relation defined in the set of real numbers by a R b $left right double arrow$ 1 + ab > 0. Then R is-

Therefore, the given relation R is symmetric.

Let R be a relation defined in the set of real numbers by a R b $left right double arrow$ 1 + ab > 0. Then R is-

Therefore, the given relation R is symmetric.

A and B are two sets having 3 and 4 elements respectively and having 2 elements in common. The number of relation which can be defined from A to B is

Therefore, the number of relations which can be defined from A to B are $2 to the power of 12$ ..

A and B are two sets having 3 and 4 elements respectively and having 2 elements in common. The number of relation which can be defined from A to B is

Therefore, the number of relations which can be defined from A to B are $2 to the power of 12$ ..

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

Hence, the relation R is symmetric.

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

Hence, the relation R is symmetric.

Let X={1,2,3,4} and Y={1,3,5,7,9} . Which of the following is relations from X to Y-

So the correct relations are R2 and R3.

Let X={1,2,3,4} and Y={1,3,5,7,9} . Which of the following is relations from X to Y-

So the correct relations are R2 and R3.

If Q= $open curly brackets x colon x equals fraction numerator 1 over denominator y end fraction comma text where end text y element of N close curly brackets comma text end text$ then-

Hence, $1 element of Q$ is correct.

If Q= $open curly brackets x colon x equals fraction numerator 1 over denominator y end fraction comma text where end text y element of N close curly brackets comma text end text$ then-

Hence, $1 element of Q$ is correct.

Let A $equals left curly bracket x colon x element of R comma vertical line x vertical line less than 1 right curly bracket comma B equals left curly bracket x colon x element of R comma vertical line x minus 1 vertical line greater or equal than 1 right curly bracket text end text$ and $A union B$ =R-D, then the set D is

Therefore, set of D is $left curly bracket x colon 1 less or equal than x less than 2 right curly bracket$ .

Let A $equals left curly bracket x colon x element of R comma vertical line x vertical line less than 1 right curly bracket comma B equals left curly bracket x colon x element of R comma vertical line x minus 1 vertical line greater or equal than 1 right curly bracket text end text$ and $A union B$ =R-D, then the set D is

Therefore, set of D is $left curly bracket x colon 1 less or equal than x less than 2 right curly bracket$ .

Which set is the subset of all given sets ?

Therefore, { } is a subset of all givens sets.

Which set is the subset of all given sets ?

Therefore, { } is a subset of all givens sets.

Let A and B be two sets such that n(A) = 70, n(B) = 60 and $n left parenthesis A union B right parenthesis$ = 110. Then $n left parenthesis A intersection B right parenthesis$ is equal to-

Therefore, n(A∩B) = 20

Let A and B be two sets such that n(A) = 70, n(B) = 60 and $n left parenthesis A union B right parenthesis$ = 110. Then $n left parenthesis A intersection B right parenthesis$ is equal to-

Therefore, n(A∩B) = 20

The shaded region in the given figure is

Which of the following are true ?

Therefore, from the given options, $left square bracket 3 , 7 right square bracket subset of or equal to left parenthesis 2 , 10 right parenthesis$ is true.

Which of the following are true ?

Therefore, from the given options, $left square bracket 3 , 7 right square bracket subset of or equal to left parenthesis 2 , 10 right parenthesis$ is true.

The set of intelligent students in a class is-

Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A={1, 2, 5}, B = {6, 7} then $left parenthesis A intersection B right parenthesis to the power of ´ end exponent$ is-

Therefore, A ⋂ B’ = A.

Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A={1, 2, 5}, B = {6, 7} then $left parenthesis A intersection B right parenthesis to the power of ´ end exponent$ is-

Therefore, A ⋂ B’ = A.

If $A subset of or equal to B$ , then $A intersection B$ is equal to-

Therefore, $A intersection B$ is equal to = A

If $A subset of or equal to B$ , then $A intersection B$ is equal to-