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ααααα΅ α 100 α₯α α α αα΅ αααα΅ α΅α½ααα½αα’
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πYou can pass Entrance Exam π
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3. Notes
ααααα΅ α 100 α₯α α α αα΅ αααα΅ α΅α½ααα½αα’
αααααα₯
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1,start α¨α αα΅
2, Register α¨αααα αα«α α αααα΅ α αα«α αααα
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πYou can pass Entrance Exam π
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1. What is the imaginary unit, denoted as 'i', defined as?
a) β1
b) -1
c) β-1
d) 0
2. What is the standard form of a complex number?
a) a + bi
b) a - bi
c) ab + i
d) a/b + i
3. What is the conjugate of the complex number 3 + 2i?
a) -3 + 2i
b) -3 - 2i
c) 3 - 2i
d) 2 + 3i
4. What is the value of iΒ²?
a) 1
b) -1
c) i
d) -i
5. What is the result of (2 + 3i) + (1 - i)?
a) 3 + 4i
b) 3 + 2i
c) 1 + 2i
d) 3 - 2i
6. What is the result of (2 + 3i) * (1 - i)?
a) -1 + 5i
b) 5 + i
c) 5 - i
d) -1 - 5i
7. What is the modulus (or absolute value) of the complex number 3 - 4i?
a) 5
b) -5
c) β7
d) 7
8. How do you represent a complex number in polar form?
a) r(cos ΞΈ + i sin ΞΈ)
b) r(sin ΞΈ + i cos ΞΈ)
c) r(cos ΞΈ - i sin ΞΈ)
d) r(sin ΞΈ - i cos ΞΈ)
9. What is the rectangular form of the complex number 2(cos(Ο/2) + i sin(Ο/2)) ?
a) 2 + 0i
b) 0 + 2i
c) -2 + 0i
d) 0-2i
10. What is the value of iβ΄?
a) i
b) -i
c) -1
d) 1
11. What is the reciprocal of 2i?
a) -2i
b) 1/2i
c) -1/2i
d) 1/2
a) β1
b) -1
c) β-1
d) 0
2. What is the standard form of a complex number?
a) a + bi
b) a - bi
c) ab + i
d) a/b + i
3. What is the conjugate of the complex number 3 + 2i?
a) -3 + 2i
b) -3 - 2i
c) 3 - 2i
d) 2 + 3i
4. What is the value of iΒ²?
a) 1
b) -1
c) i
d) -i
5. What is the result of (2 + 3i) + (1 - i)?
a) 3 + 4i
b) 3 + 2i
c) 1 + 2i
d) 3 - 2i
6. What is the result of (2 + 3i) * (1 - i)?
a) -1 + 5i
b) 5 + i
c) 5 - i
d) -1 - 5i
7. What is the modulus (or absolute value) of the complex number 3 - 4i?
a) 5
b) -5
c) β7
d) 7
8. How do you represent a complex number in polar form?
a) r(cos ΞΈ + i sin ΞΈ)
b) r(sin ΞΈ + i cos ΞΈ)
c) r(cos ΞΈ - i sin ΞΈ)
d) r(sin ΞΈ - i cos ΞΈ)
9. What is the rectangular form of the complex number 2(cos(Ο/2) + i sin(Ο/2)) ?
a) 2 + 0i
b) 0 + 2i
c) -2 + 0i
d) 0-2i
10. What is the value of iβ΄?
a) i
b) -i
c) -1
d) 1
11. What is the reciprocal of 2i?
a) -2i
b) 1/2i
c) -1/2i
d) 1/2
π3
1. Denotative Meaning:
β’ Definition: The denotative meaning of a word is its literal, dictionary definition. It's the objective and explicit meaning that most people would agree upon.
β’ Objective: Denotation is factual and aims to be free from personal feelings or interpretations.
β’ Example:
β’ The denotation of the word "snake" is a limbless reptile with a long, slender body.
β’ The denotation of "blue" is a color between green and violet on the visible light spectrum.
β’ Key Characteristics:
β’ Literal
β’ Objective
β’ Direct
β’ Universal
2. Connotative Meaning:
β’ Definition: The connotative meaning of a word is the emotional, cultural, or implied associations that go beyond its literal definition. It's the subjective and implied meaning that can vary depending on context and personal experiences.
β’ Subjective: Connotations are influenced by cultural backgrounds, personal feelings, and past experiences.
β’ Example:
β’ While the denotation of "snake" is a reptile, the connotation can be something negative like deception, danger, or untrustworthiness.
β’ The denotation of "blue" is a color, but its connotations might be sadness (feeling blue), tranquility, or royalty (e.g., "royal blue").
β’ Key Characteristics:
β’ Implied
β’ Subjective
β’ Emotional
β’ Context-dependent
β’ Can be positive, negative.
β’ Definition: The denotative meaning of a word is its literal, dictionary definition. It's the objective and explicit meaning that most people would agree upon.
β’ Objective: Denotation is factual and aims to be free from personal feelings or interpretations.
β’ Example:
β’ The denotation of the word "snake" is a limbless reptile with a long, slender body.
β’ The denotation of "blue" is a color between green and violet on the visible light spectrum.
β’ Key Characteristics:
β’ Literal
β’ Objective
β’ Direct
β’ Universal
2. Connotative Meaning:
β’ Definition: The connotative meaning of a word is the emotional, cultural, or implied associations that go beyond its literal definition. It's the subjective and implied meaning that can vary depending on context and personal experiences.
β’ Subjective: Connotations are influenced by cultural backgrounds, personal feelings, and past experiences.
β’ Example:
β’ While the denotation of "snake" is a reptile, the connotation can be something negative like deception, danger, or untrustworthiness.
β’ The denotation of "blue" is a color, but its connotations might be sadness (feeling blue), tranquility, or royalty (e.g., "royal blue").
β’ Key Characteristics:
β’ Implied
β’ Subjective
β’ Emotional
β’ Context-dependent
β’ Can be positive, negative.
α α²α΅ α α α£ α¨αα΅αα Social α°ααͺαα½ α αα
α α α²α΅ α α α£ ααα α¨α°α α αα£α α¨ social subject model exam α₯α«α α¨ααα£α α΅ α¦α³ αα αα ααα΅αα
α¨αααα α₯α«α α₯αα΅(65)
Grade 9 unit 1-4
Grade 11 unit 1-4
Grade 12 unit 1-3
α¨αααα α₯α«α α₯αα΅(100)
Grade 9 unit 1-4
Grade 11 unit 1-4
Grade 12 unit 1-4
α¨αααα α₯α«α α₯αα΅(100)
Grade 9 unit 1-4 α¨αααα α₯α«α α₯αα΅(30)
Grade 11 unit 1-4 α¨αααα α₯α«α α₯αα΅(30)
Grade 12 unit 1-4 αααα α₯α«α α₯αα΅(40)
α¨αααα α₯α«α α₯αα΅(100)
Grade 11 unit 1-4
Grade 12 unit 1-4
α¨αααα α₯α«α α₯αα΅(120)
α¨α°αα«α© α΅αα αα΅ α€αΆα½ α old α₯α New Curriculum α¨ Grade 10 α΅αα αα΅ α αα΅α°αα«αΈα αααα«α΅ α α αα α¨ model Exam α αα«α°α΅α
α α α²α΅ α α α£ ααα α¨α°α α αα£α α¨ social subject model exam α₯α«α α¨ααα£α α΅ α¦α³ αα αα ααα΅αα
Maths
α¨αααα α₯α«α α₯αα΅(65)
Grade 9 unit 1-4
Grade 11 unit 1-4
Grade 12 unit 1-3
History
α¨αααα α₯α«α α₯αα΅(100)
Grade 9 unit 1-4
Grade 11 unit 1-4
Grade 12 unit 1-4
Geo
α¨αααα α₯α«α α₯αα΅(100)
Grade 9 unit 1-4 α¨αααα α₯α«α α₯αα΅(30)
Grade 11 unit 1-4 α¨αααα α₯α«α α₯αα΅(30)
Grade 12 unit 1-4 αααα α₯α«α α₯αα΅(40)
Economics
α¨αααα α₯α«α α₯αα΅(100)
Grade 11 unit 1-4
Grade 12 unit 1-4
English
α¨αααα α₯α«α α₯αα΅(120)
α¨α°αα«α© α΅αα αα΅ α€αΆα½ α old α₯α New Curriculum α¨ Grade 10 α΅αα αα΅ α αα΅α°αα«αΈα αααα«α΅ α α αα α¨ model Exam α αα«α°α΅α
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3. People should ________ that the world has changed.
Anonymous Quiz
13%
understanding
66%
understand
22%
to understand
π1
6. You paid β¬99? It _____ have cost more than β¬50.
Anonymous Quiz
8%
should'd
24%
should to
68%
shouldn't
π1
π4
9. The teacher demanded that John should _____ harder.
Anonymous Quiz
26%
works
21%
to work
54%
work
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