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Karnataka Board PUCPUC Science Class 11

PUC Science Class 11 - Karnataka Board PUC Question Bank Solutions for Mathematics

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Mathematics
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Let A = {3, 6, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16} and D = {5, 10, 15, 20}. Find: \[C - A\]

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined

Let A = {3, 6, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16} and D = {5, 10, 15, 20}.

Find: \[D - A\]

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined

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Let A = {3, 6, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16} and D = {5, 10, 15, 20}.

Find: \[B - C\]

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined

Let A = {3, 6, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16} and D = {5, 10, 15, 20}.

Find: \[B - D\]

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined

Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {2, 4, 6, 8} and B = {2, 3, 5, 7}. Verify that \[\left( A \cup B \right)' = A' \cap B'\]

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined

Find the values of the following trigonometric ratio:

\[\sin\frac{17\pi}{6}\]

 

[3] Trigonometric Functions
Chapter: [3] Trigonometric Functions
Concept: undefined >> undefined

Find the values of the following trigonometric ratio:

\[\cos\frac{19\pi}{6}\]

 

[3] Trigonometric Functions
Chapter: [3] Trigonometric Functions
Concept: undefined >> undefined

Find the values of the following trigonometric ratio:

\[\sin\left( - \frac{11\pi}{6} \right)\]

 

[3] Trigonometric Functions
Chapter: [3] Trigonometric Functions
Concept: undefined >> undefined

Find the values of the following trigonometric ratio:

\[cosec\left( - \frac{20\pi}{3} \right)\]

 

[3] Trigonometric Functions
Chapter: [3] Trigonometric Functions
Concept: undefined >> undefined

Find the values of the following trigonometric ratio:

\[\tan\left( - \frac{13\pi}{4} \right)\]

 

[3] Trigonometric Functions
Chapter: [3] Trigonometric Functions
Concept: undefined >> undefined

Find the values of the following trigonometric ratio:

\[\cos\frac{19\pi}{4}\]
[3] Trigonometric Functions
Chapter: [3] Trigonometric Functions
Concept: undefined >> undefined

Find the values of the following trigonometric ratio:

\[\sin\frac{41\pi}{4}\]
[3] Trigonometric Functions
Chapter: [3] Trigonometric Functions
Concept: undefined >> undefined

Find the values of the following trigonometric ratio:

\[\cos\frac{39\pi}{4}\]
[3] Trigonometric Functions
Chapter: [3] Trigonometric Functions
Concept: undefined >> undefined

Find the values of the following trigonometric ratio:

\[\sin\frac{151\pi}{6}\]
[3] Trigonometric Functions
Chapter: [3] Trigonometric Functions
Concept: undefined >> undefined

By giving a counter example, show that the following statement is not true.
p : "If all the angles of a triangle are equal, then the triangle is an obtuse angled triangle".

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
Concept: undefined >> undefined

Find the derivative of f (x) = 3x at x = 2 

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined

Find the derivative of f (x) = x2 − 2 at x = 10

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined

Find the derivative of f (x) = 99x at x = 100 

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined

Find the derivative of f (xx at x = 1

 

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined

Find the derivative of f (x) = cos x at x = 0

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined
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