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Tamil Nadu Board of Secondary EducationHSC Arts कक्षा ११

HSC Arts कक्षा ११ - Tamil Nadu Board of Secondary Education Question Bank Solutions for Mathematics

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Mathematics
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Integrate the following with respect to x:

123 

[11] Integral Calculus
Chapter: [11] Integral Calculus
Concept: undefined >> undefined

Integrate the following with respect to x:

`(x^24)/(x^25)`

[11] Integral Calculus
Chapter: [11] Integral Calculus
Concept: undefined >> undefined

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Integrate the following with respect to x:

ex

[11] Integral Calculus
Chapter: [11] Integral Calculus
Concept: undefined >> undefined

Integrate the following with respect to x:

(1 + x2)–1 

[11] Integral Calculus
Chapter: [11] Integral Calculus
Concept: undefined >> undefined

Integrate the following with respect to x:

`(1 - x^2)^(- 1/2)`

[11] Integral Calculus
Chapter: [11] Integral Calculus
Concept: undefined >> undefined

Choose the correct alternative:

If `int f(x) "d"x = g(x) + "c",` then `int f(x)g"'"(x) "d"x`

[11] Integral Calculus
Chapter: [11] Integral Calculus
Concept: undefined >> undefined

If two coins are tossed simultaneously, then find the probability of getting one head and one tail

[12] Introduction to Probability Theory
Chapter: [12] Introduction to Probability Theory
Concept: undefined >> undefined

If two coins are tossed simultaneously, then find the probability of getting atmost two tails

[12] Introduction to Probability Theory
Chapter: [12] Introduction to Probability Theory
Concept: undefined >> undefined

Five mangoes and 4 apples are in a box. If two fruits are chosen at random, find the probability that one is a mango and the other is an apple

[12] Introduction to Probability Theory
Chapter: [12] Introduction to Probability Theory
Concept: undefined >> undefined

Five mangoes and 4 apples are in a box. If two fruits are chosen at random, find the probability that both are of the same variety

[12] Introduction to Probability Theory
Chapter: [12] Introduction to Probability Theory
Concept: undefined >> undefined

Choose the correct alternative:

A number is selected from the set {1, 2, 3, ..., 20). The probability that the selected number is divisible by 3 or 4 is

[12] Introduction to Probability Theory
Chapter: [12] Introduction to Probability Theory
Concept: undefined >> undefined

Find x if `1/(6!) + 1/(7!) = x/(8!)`

[4] Combinatorics and Mathematical Induction
Chapter: [4] Combinatorics and Mathematical Induction
Concept: undefined >> undefined

Evaluate `("n"!)/("r"!("n" - "r")!)` when n = 5 and r = 2.

[4] Combinatorics and Mathematical Induction
Chapter: [4] Combinatorics and Mathematical Induction
Concept: undefined >> undefined

State whether the following set are finite or infinite.

{x ∈ N : x is an even prime number}

[1] Sets, Relations and Functions
Chapter: [1] Sets, Relations and Functions
Concept: undefined >> undefined

State whether the following set are finite or infinite.

{x ∈ N : x is an odd prime number}

[1] Sets, Relations and Functions
Chapter: [1] Sets, Relations and Functions
Concept: undefined >> undefined

State whether the following set are finite or infinite.

{x ∈ Z : x is even and less than 10}

[1] Sets, Relations and Functions
Chapter: [1] Sets, Relations and Functions
Concept: undefined >> undefined

State whether the following set are finite or infinite.

{x ∈ R : x is a rational number}

[1] Sets, Relations and Functions
Chapter: [1] Sets, Relations and Functions
Concept: undefined >> undefined

State whether the following set are finite or infinite.

{x ∈ N : x is a rational number}

[1] Sets, Relations and Functions
Chapter: [1] Sets, Relations and Functions
Concept: undefined >> undefined

Find the values of sin(480°)

[3] Trigonometry
Chapter: [3] Trigonometry
Concept: undefined >> undefined

Find the values of sin (– 1110°)

[3] Trigonometry
Chapter: [3] Trigonometry
Concept: undefined >> undefined
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