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Arts (English Medium) Class 11 - CBSE Question Bank Solutions for Mathematics

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Mathematics
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Evaluate: `lim_(x -> 2) (x^2 - 4)/(sqrt(3x - 2) - sqrt(x + 2))`

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
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Which of the following statements are compound statements 

“2 is both an even number and a prime number”

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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Which of the following statements are compound statements 

“9 is neither an even number nor a prime number”

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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Which of the following statements are compound statements 

“Ram and Rahim are friends”

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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Identify the component statements and the connective in the following compound statements.

It is raining or the sun is shining.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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Identify the component statements and the connective in the following compound statements.

2 is a positive number or a negative number.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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Translate the following statements in symbolic form

2 and 3 are prime numbers 

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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Translate the following statements in symbolic form

Tigers are found in Gir forest or Rajaji national park.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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Write the truth value of the following statements.
(i) 9 is an even integer or 9 + 1 is even.
(ii) 2 + 4 = 6 or 2 + 4 = 7
(iii) Delhi is the capital of India and Islamabad is the capital of Pakistan.
(iv) Every rectangle is a square and every square is a rectangle
(v) The sun is a star or sun is a planet.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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Write negation of the statement
“Everyone who lives in India is an Indian”

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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Write the negation of the following statements:
p: All triangles are equilateral triangles.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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Write the negation of the following statements:
q: 9 is a multiple of 4.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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Write the negation of the following statements:
r: A triangle has four sides.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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Write the negation of the following statements:
Suresh lives in Bhopal or he lives in Mumbai.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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Write the negation of the following statements:
x + y = y + x and 29 is a prime number.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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Rewrite the following statements in the form of conditional statements:

Mohan will be a good student if he studies hard.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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Rewrite the following statements in the form of conditional statements:

Ramesh will get dessert only if he eats his dinner.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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Rewrite the following statements in the form of conditional statements:

When you sing, my ears hurt.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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Rewrite the following statements in the form of conditional statements:

A necessary condition for Indian team to win a cricket match is that the selection committee selects an all-rounder.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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Rewrite the following statements in the form of conditional statements:

A sufficient condition for Tara to visit New Delhi is that she goes to the Rashtrapati Bhawan.

[1] Mathematical Reasoning
Chapter: [1] Mathematical Reasoning
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