Commerce (English Medium) कक्षा ११ - CBSE Question Bank Solutions

Which of the following statement are correct?
Write a correct form of each of the incorrect statement.

\[\left\{ a, b \right\} \subset \left\{ a, \left\{ b, c \right\} \right\}\] 

Which of the following statement are correct?
Write a correct form of each of the incorrect statement.

\[\left\{ a, b \right\} \subset \left\{ a, \left\{ b, c \right\} \right\}\] 

Which of the following statement are correct?
Write a correct form of each of the incorrect statement.

\[\phi \subset \left\{ a, b, c \right\}\] 

Let A = {a, b, {c, d}, e}. Which of the following statement are false and why?

\[\left\{ c, d \right\} \subset A\]

Let A = {a, b, {c, d}, e}. Which of the following statement are false and why? 

\[\left\{ c, d \right\} \in A\] 

Let A = {a, b, {c, d}, e}. Which of the following statement are false and why? 

\[\left\{ \left\{ c, d \right\} \right\} \subset A\]

Let A = {a, b, {c, d}, e}. Which of the following statement are false and why? 

\[a \in A\]

Let A = {a, b, {c, d}, e}. Which of the following statements are false and why? 

\[\left\{ a, b, e \right\} \in A\] 

Let A = {a, b, {c, d}, e}. Which of the following statement are false and why?

\[\left\{ a, b, c \right\} \subset A\]

Let A = {a, b, {c, d}, e}. Which of the following statement are false and why? 

\[\phi \in A\]

Let A = {a, b, {c, d}, e}. Which of the following statement are false and why? 

\[\phi \in A\]

Let A = {{1, 2, 3}, {4, 5}, {6, 7, 8}}. Determine which of the following is true or false: 

\[1 \in A\] 

Let A = {{1, 2, 3}, {4, 5}, {6, 7, 8}}. Determine which of the following is true or false: 

\[\left\{ 1, 2, 3 \right\} \subset A\] 

Let A = {{1, 2, 3}, {4, 5}, {6, 7, 8}}. Determine which of the following is true or false: 

\[\left\{ 6, 7, 8 \right\} \in A\] 

Let A = {{1, 2, 3}, {4, 5}, {6, 7, 8}}. Determine which of the following is true or false: 

\[\left\{ \left\{ 4, 5 \right\} \right\} \subset A\] 

Let A = {{1, 2, 3}, {4, 5}, {6, 7, 8}}. Determine which of the following is true or false: 

\[\phi \in A\] 

Let A = {{1, 2, 3}, {4, 5}, {6, 7, 8}}. Determine which of the following is true or false: 

\[\phi \in A\] 

Evaluate the following:

i⁴⁵⁷

Let\[A = \left\{ \phi, \left\{ \phi \right\}, 1, \left\{ 1, \phi \right\}, 2 \right\}\]Which of the following are true? 

Evaluate the following:

(ii) i⁵²⁸