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Questions and Answers
If 𝐸 = {47,48,49,50} and𝐹 = {48,50,49,47},then 𝐸 ∩ 𝐹 is equal to:
If 𝐸 = {47,48,49,50} and𝐹 = {48,50,49,47},then 𝐸 ∩ 𝐹 is equal to:
- E only
- F only
- 𝐸 ∪ F
- E, F and 𝐸 ∪ F (correct)
The conjugate of (1 − 𝑖)(3𝑖 + 2) would be:
The conjugate of (1 − 𝑖)(3𝑖 + 2) would be:
- (1 + 𝑖)(3𝑖 − 2) (correct)
- (𝑖 + 5)
- (𝑖 − 5)
- (−𝑖 + 5)
Which of the following is polynomial:
Which of the following is polynomial:
- A
- B
- C (correct)
- D
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Study Notes
Set Operations
- 𝐸 = {47, 48, 49, 50} and 𝐹 = {48, 50, 49, 47} are two sets.
- The intersection of two sets, denoted by ∩, contains elements common to both sets.
- Hence, 𝐸 ∩ 𝐹 = {47, 48, 49, 50} = 𝐸 = 𝐹, since both sets contain the same elements.
Complex Numbers
- The conjugate of a complex number is obtained by changing the sign of the imaginary part.
- The conjugate of (1 − 𝑖)(3𝑖 + 2) can be found by applying the distributive property and then changing the sign of the imaginary part.
Polynomials
- A polynomial is an expression consisting of variables (such as 𝑥 or 𝑦) and coefficients (such as numbers) combined using only addition, subtraction, and multiplication.
- The terms of a polynomial are separated by PLUS signs, and each term contains a variable raised to a non-negative integer power.
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