PUC Science कक्षा ११ - Karnataka Board PUC Question Bank Solutions for Mathematics

In the triangle ABC with vertices A (2, 3), B (4, −1) and C (1, 2), find the equation and the length of the altitude from the vertex A.

Make correct statement by filling in the symbols ⊂ or ⊄ in the blank space:

{a, b, c} _____ {b, c, d}

Make correct statement by filling in the symbols ⊂ or ⊄ in the blank space:

{x : x is a student of Class XI of your school} ____ {x : x student of your school}

Make correct statement by filling in the symbols ⊂ or ⊄ in the blank space:

{x : x is a circle in the plane} _____ {x : x is a circle in the same plane with radius 1 unit}

Make correct statement by filling in the symbols ⊂ or ⊄ in the blank space:

{x : x is a triangle in a plane} _____ {x : x is a rectangle in the plane}

Make correct statement by filling in the symbols ⊂ or ⊄ in the blank space:

{x : x is an equilateral triangle in a plane} _____ {x : x is a triangle in the same plane}

Make correct statement by filling in the symbols ⊂ or ⊄ in the blank space:

{x : x is an even natural number} _____ {x : x is an integer}

Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?

{3, 4} ∈ A

Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?

{{3, 4}} ⊂ A

Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?

1 ∈ A

Let A = { 1, 2, { 3, 4}, 5 }. The following statement is correct or incorrect and why?

1 ⊂ A

Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?

{1, 2, 5} ⊂ A

Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?

{1, 2, 5} ∈ A

Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?

{1, 2, 3} ⊂ A

Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?

Φ ∈ A

Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?

Φ ⊂ A

Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?

{Φ} ⊂ A

Write down all the subsets of the following set:

{a, b}

Write down all the subsets of the following set:

{1, 2, 3}

Write down all the subsets of the following set:

Φ