let s the set of all triangles p the set of all isosceles

Let $$S =$$ the set of all triangles, $$P =$$ the set of all isosceles triangles, $$Q =$$ the set of all equilateral triangles, $$R =$$ the set of all right-angled triangles.
What do the sets $$P \cap Q$$ and $$R - P$$ represents respectively ?

A. The set of isosceles triangles; the set of non-isosceles right angled triangles

B. The set of isosceles triangles; the set of right angled triangles

C. The set of equilateral triangles; the set of right angled triangles

D. The set of isosceles triangles; the set of equilateral triangles

Answer : The set of isosceles triangles; the set of non-isosceles right angled triangles

Solution :
As given :
$$S =$$ the set of all triangles
$$P =$$ the set of all isosceles triangles
$$Q =$$ the set of all equilateral triangles
$$R =$$ the set of all right angled triangles
$$\therefore \,\,P \cap Q$$ represents the set of isosceles triangles and $$R - P$$ represents the set of non-isosceles right angled triangles.

Releted MCQ Question on
Calculus >> Sets and Relations

Releted Question 1

If $$X$$ and $$Y$$ are two sets, then $$X \cap {\left( {X \cup Y} \right)^c}$$ equals.

A. $$X$$

B. $$Y$$

C. $$\phi $$

D. None of these

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Releted Question 2

The expression $$\frac{{12}}{{3 + \sqrt 5 + 2\sqrt 2 }}$$ is equal to

A. $$1 - \sqrt 5 + \sqrt 2 + \sqrt {10} $$

B. $$1 + \sqrt 5 + \sqrt 2 - \sqrt {10} $$

C. $$1 + \sqrt 5 - \sqrt 2 + \sqrt {10} $$

D. $$1 - \sqrt 5 - \sqrt 2 + \sqrt {10} $$

View Answer

Releted Question 3

If $${x_1},{x_2},.....,{x_n}$$ are any real numbers and $$n$$ is any positive integer, then

A. $$n\sum\limits_{i = 1}^n {{x_i}^2 < {{\left( {\sum\limits_{i = 1}^n {{x_i}} } \right)}^2}} $$

B. $$\sum\limits_{i = 1}^n {{x_i}^2 \geqslant {{\left( {\sum\limits_{i = 1}^n {{x_i}} } \right)}^2}} $$

C. $$\sum\limits_{i = 1}^n {{x_i}^2 \geqslant n{{\left( {\sum\limits_{i = 1}^n {{x_i}} } \right)}^2}} $$

D. none of these

View Answer

Releted Question 4

Let $$S$$ = {1, 2, 3, 4}. The total number of unordered pairs of disjoint subsets of $$S$$ is equal to

A. 25

B. 34

C. 42

D. 41

View Answer

Let $$S =$$ the set of all triangles, $$P =$$ the set of all isosceles triangles, $$Q =$$ the set of all equilateral triangles, $$R =$$ the set of all right-angled triangles.
What do the sets $$P \cap Q$$ and $$R - P$$ represents respectively ?

Releted MCQ Question on
Calculus >> Sets and Relations

If $$X$$ and $$Y$$ are two sets, then $$X \cap {\left( {X \cup Y} \right)^c}$$ equals.

The expression $$\frac{{12}}{{3 + \sqrt 5 + 2\sqrt 2 }}$$ is equal to

If $${x_1},{x_2},.....,{x_n}$$ are any real numbers and $$n$$ is any positive integer, then

Let $$S$$ = {1, 2, 3, 4}. The total number of unordered pairs of disjoint subsets of $$S$$ is equal to

Practice More Releted MCQ Question on
Sets and Relations

Practice More MCQ Question on Maths Section

Let $$S =$$ the set of all triangles, $$P =$$ the set of all isosceles triangles, $$Q =$$ the set of all equilateral triangles, $$R =$$ the set of all right-angled triangles. What do the sets $$P \cap Q$$ and $$R - P$$ represents respectively ?

Releted MCQ Question on Calculus >> Sets and Relations

If $$X$$ and $$Y$$ are two sets, then $$X \cap {\left( {X \cup Y} \right)^c}$$ equals.

The expression $$\frac{{12}}{{3 + \sqrt 5 + 2\sqrt 2 }}$$ is equal to

If $${x_1},{x_2},.....,{x_n}$$ are any real numbers and $$n$$ is any positive integer, then

Let $$S$$ = {1, 2, 3, 4}. The total number of unordered pairs of disjoint subsets of $$S$$ is equal to

Practice More Releted MCQ Question on Sets and Relations

Practice More MCQ Question on Maths Section

Let $$S =$$ the set of all triangles, $$P =$$ the set of all isosceles triangles, $$Q =$$ the set of all equilateral triangles, $$R =$$ the set of all right-angled triangles.
What do the sets $$P \cap Q$$ and $$R - P$$ represents respectively ?

Releted MCQ Question on
Calculus >> Sets and Relations

Practice More Releted MCQ Question on
Sets and Relations