If A = 1 , 2 , 3 , 4 , B = 3 , 4 , 5 , 6 , C = 5 , 6 , 7 , 8 and D = 7 , 8 , 9 , 10 ; find A ∪ C .

Given, A = 1 , 2 , 3 , 4 , C = 5 , 6 , 7 , 8 ; The union of two sets A and C is the set of elements which are in A in C , or in both A and C Therefore, A ∪ C = 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8

If A = 3 , 5 , 7 , 9 , 11 , B = 7 , 9 , 11 , 13 , C = 11 , 13 , 15 and D = 15 , 17 ; find A ∩ C ∩ D .

The intersection of sets A and B is the set of all elements which are common to both A a n d B .The symbol ' ∩ ' is used to represent intersection. A ∩ B = x : x ∈ A a n d x ∈ B A = 3 , 5 , 7 , 9 , 11 , C = 11 , 13 , 15 And D = 15 , 17 The intersection of two or more sets is a set of their common elements. Here, there are no common elements. Therefore, A ∩ C ∩ D = ϕ

If A = 3 , 5 , 7 , 9 , 11 , B = 7 , 9 , 11 , 13 , C = 11 , 13 , 15 and D = 15 , 17 ; find A ∩ D

The intersection of sets A and B is the set of all elements which are common to both A a n d B . The symbol ' ∩ ' is used to represent intersection. A ∩ B = x : x ∈ A a n d x ∈ B Given, A = 3 , 5 , 7 , 9 , 11 , D = 15 , 17 There is no common element in both sets. Therefore, A ∩ D = { } = ϕ

If A = 3 , 5 , 7 , 9 , 11 , B = 7 , 9 , 11 , 13 , C = 11 , 13 , 15 and D = 15 , 17 ; find B ∩ C .

The intersection of sets A and B is the set of all elements which are common to both A a n d B .The symbol ' ∩ ' is used to represent intersection. A ∩ B = x : x ∈ A a n d x ∈ B B = 7 , 9 , 11 , 13 , C = 11 , 13 , 15 Here, there are 2 elements. B ∩ C = 11 , 13

If X = a , b , c , d and Y = f , b , d , g , find X ∩ Y .

X = a , b , c , d and Y = f , b , d , g The intersection of sets A and B is the set of all elements which are common to both A a n d B . The symbol ' ∩ ' is used to represent intersection. A ∩ B = x : x ∈ A a n d x ∈ B Given Sets, X = a , b , c , d and Y = f , b , d , g ∴ X ∩ Y = a , b , c , d ∩ f , b , d , g ⇒ X ∩ Y = b , d .

If A = 3 , 5 , 7 , 9 , 11 , B = 7 , 9 , 11 , 13 , C = 11 , 13 , 15 and D = 15 , 17 ; find A ∩ B ∪ C

Given, A = 3 , 5 , 7 , 9 , 11 , B = 7 , 9 , 11 , 13 , C = 11 , 13 , 15 and D = 15 , 17 First, evaluate B ∪ C . The union of two sets is the set of elements which are in B or C or both. Therefore, B ∪ C = 7 , 9 , 11 , 13 , 15 . Now, evaluate A ∩ B ∪ C . The intersection of two sets is the set of elements that are common to both A and B ∪ C . Therefore, A ∩ B ∪ C = 7 , 9 , 11 .

If A = 3 , 5 , 7 , 9 , 11 , B = 7 , 9 , 11 , 13 , C = 11 , 13 , 15 and D = 15 , 17 ; find A ∩ B

The intersection of sets A and B is the set of all elements which are common to both A a n d B .The symbol ' ∩ ' is used to represent intersection. A ∩ B = x : x ∈ A a n d x ∈ B A = 3 , 5 , 7 , 9 , 11 , B = 7 , 9 , 11 , 13 , The intersection of two sets is the set of common elements of both the sets. Here, there are 3 elements. A ∩ B = 7 , 9 , 11

Find the intersection of the pair of sets: A = 1 , 2 , 3 , B = ϕ

The intersection of sets A and B is the set of all elements which are common to both A a n d B . The symbol ' ∩ ' is used to represent intersection. A ∩ B = x : x ∈ A a n d x ∈ B Given: A = 1 , 2 , 3 and B = ϕ The Intersection of two sets is a set of common elements of both sets. Here, there are no common elements. Therefore, A ∩ B = ϕ

If A = 3 , 5 , 7 , 9 , 11 , B = 7 , 9 , 11 , 13 , C = 11 , 13 , 15 and D = 15 , 17 ; find A ∪ D ∩ B ∪ C

A = 3 , 5 , 7 , 9 , 11 , D = 15 , 17 , C = 11 , 13 , 15 , B = 7 , 9 , 11 , 13 We know that the union of two sets is a set of the elements in either first set or in the second set. A ∪ D = 3 , 5 , 7 , 9 , 11 , 15 , 17 B ∪ C = 7 , 9 , 11 , 13 , 15 We know that the intersection of two sets is the set of all elements which are common to both sets. Therefore, A ∪ D ∩ B ∪ C = 7 , 9 , 11 , 15

MEDIUM

Earn 100

The 74th Amendment Act mandates the creation of which body at the district level?

50% studentsanswered this correctly

Important Questions on Conic Sections

EASY

Mathematics>Coordinate Geometry>Conic Sections>Sections of a Cone

Which one of the following pairs of solution is not an acidic buffer?

EASY

Mathematics>Coordinate Geometry>Conic Sections>Sections of a Cone

Which of the following is the energy of a possible excited state of hydrogen?

MEDIUM

Mathematics>Coordinate Geometry>Conic Sections>Sections of a Cone

Two newspapers

A

and

B

are published in a city. It is known that

25 %

of the city population reads

A

and

20 %

reads

B

while

8 %

reads both

A

and

B .

Further,

30 %

of those who read

A

but not

B

look into advertisements and

40 %

of those who read

B

but not

A

also look into advertisements, while

50 %

of those who read both

A

and

B

look into advertisements. Then the percentage of the population who look into advertisements is:

EASY

Mathematics>Coordinate Geometry>Conic Sections>Sections of a Cone

Addition of sodium hydroxide solution to a weak acid (HA) results in a buffer of pH 6. If ionization constant of HA is

10^{- 5}

, the ratio of salt to acid concentration in the buffer solution will be:

MEDIUM

Mathematics>Coordinate Geometry>Conic Sections>Sections of a Cone

In a class of

140

students numbered

1

140

, all even numbered students opted Mathematics course, those whose number is divisible by

3

opted Physics course and those whose number is divisible by

5

opted Chemistry course. Then the number of students who did not opt for any of the three courses is:

EASY

Mathematics>Coordinate Geometry>Conic Sections>Sections of a Cone

A = \{1, 2, 3, 4\}, B = \{3, 4, 5, 6\}, C = \{5, 6, 7, 8\}

and

D = \{7, 8, 9, 10\};

find

A \cup C

EASY

Mathematics>Coordinate Geometry>Conic Sections>Sections of a Cone

A = \{3, 5, 7, 9, 11\}, B = \{7, 9, 11, 13\}, C = \{11, 13, 15\}

and

D = \{15, 17\};

find

A \cap C \cap D

EASY

Mathematics>Coordinate Geometry>Conic Sections>Sections of a Cone

Find the union of the following pairs of sets:

A = \{a, e, i, o, u\}; B = \{a, b, c\}

EASY

Mathematics>Coordinate Geometry>Conic Sections>Sections of a Cone

Find the union of the following pairs of sets:

A = \{1, 2, 3\}; B = ϕ

EASY

Mathematics>Coordinate Geometry>Conic Sections>Sections of a Cone

A = \{3, 5, 7, 9, 11\}, B = \{7, 9, 11, 13\}, C = \{11, 13, 15\}

and

D = \{15, 17\};

find

A \cap D

EASY

Mathematics>Coordinate Geometry>Conic Sections>Sections of a Cone

A = \{3, 5, 7, 9, 11\}, B = \{7, 9, 11, 13\}, C = \{11, 13, 15\}

and

D = \{15, 17\};

find

B \cap C

EASY

Mathematics>Coordinate Geometry>Conic Sections>Sections of a Cone

A = {x : x

is a natural number

}, B = {x : x

is an even natural number

}

C = {x : x

is an odd natural number

}

and

D = {x : x

is a prime number

},

find

B \cap C

EASY

Mathematics>Coordinate Geometry>Conic Sections>Sections of a Cone

X = \{a, b, c, d\}

and

Y = \{f, b, d, g\},

find

X \cap Y

EASY

Mathematics>Coordinate Geometry>Conic Sections>Sections of a Cone

A = \{3, 5, 7, 9, 11\}, B = \{7, 9, 11, 13\}, C = \{11, 13, 15\}

and

D = \{15, 17\};

find

A \cap (B \cup C)

EASY

Mathematics>Coordinate Geometry>Conic Sections>Sections of a Cone

Find the union of the following pairs of sets:

X = \{1, 3, 5\}; Y = \{1, 2, 3\}

EASY

Mathematics>Coordinate Geometry>Conic Sections>Sections of a Cone

If $A = \{3, 5, 7, 9, 11\}, B = \{7, 9, 11, 13\}, C = \{11, 13, 15\}$ and $D = \{15, 17\};$ find

$A \cap B$

EASY

Mathematics>Coordinate Geometry>Conic Sections>Sections of a Cone

A = {x : x

is a natural number

}, B = {x : x

is an even natural number

}

C = {x : x

is an odd natural number

}

and

D = {x : x

is a prime number

},

find

B \cap D

EASY

Mathematics>Coordinate Geometry>Conic Sections>Sections of a Cone

Find the intersection of the pair of sets:

\begin{matrix} A = \{1, 2, 3\}, & B = ϕ \end{matrix}

EASY

Mathematics>Coordinate Geometry>Conic Sections>Sections of a Cone

A = \{3, 5, 7, 9, 11\}, B = \{7, 9, 11, 13\}, C = \{11, 13, 15\}

and

D = \{15, 17\};

find

(A \cup D) \cap (B \cup C)

EASY

Mathematics>Coordinate Geometry>Conic Sections>Sections of a Cone

A = {x : x

is a natural number

}, B = {x : x

is an even natural number

}

C = {x : x

is an odd natural number

}

and

D = {x : x

is a prime number

},

find

A \cap B

The 74th Amendment Act mandates the creation of which body at the district level?

Important Questions on Conic Sections

Learn and Prepare for any exam you want !