SLST Mathematics

Complex Number – Part 2 (MCQ 21 to 40) 21. Which of the following is equal to i⁶? a) i b) -1 c) -i d) 1 Show Answer Correct Answer: b) -1 i⁶ = (i⁴)×(i²) = 1 × (-1) = -1 22. What is the conjugate of 5 - 2i? a) 5 + 2i b) 5 - 2i c) -5 + 2i d) -5 - 2i Show Answer Correct Answer: a) 5 + 2i Change the sign of the imaginary part. 23. Which of the following is purely real? a) 3i b) -4 c) 1 + 2i d) -i Show Answer Correct Answer: b) -4 Only real part is present. 24. The imaginary part of (4 + 7i) is: a) 4 b) 7 c) 11 d) -7 Show Answer Correct Answer: b) 7 Imaginary part = coefficient of i. 25. What is the polar form of 1 + i? a) √2(cos π/4 + i sin π/4) b) 1(cos 1 + i sin 1) c) √2(cos π/2 + i sin π/2) d) 2(cos π + i sin π) Show Answer Correct Answ...

Complex Number MCQs for SLST Mathematics Complex Numbers MCQs for SLST Mathematics Exam 1. What is the value of (1 + i)(1 - i)? a) 0 b) 1 c) 2 d) -1 Show Answer Correct Answer: c) 2 (1 + i)(1 - i) = 1 - i² = 1 + 1 = 2 2. The modulus of 3 + 4i is: a) 5 b) 7 c) 1 d) 4 Show Answer Correct Answer: a) 5 √(3² + 4²) = √(9 + 16) = √25 = 5 3. The conjugate of a complex number a + ib is: a) a - ib b) a + ib c) -a + ib d) -a - ib Show Answer Correct Answer: a) a - ib Conjugate reverses the sign of imaginary part. 4. What is i⁴ equal to? a) i b) -1 c) 1 d) -i Show Answer Correct Answer: c) 1 (i²)² = (-1)² = 1 5. Principal argument of (1+i) is: a) π/4 b) π/2 c) π/3 d) π/6 Show Answer Correct Answer: a) π/4 Arg(1+i) = tan⁻¹(1/1) = π/4 ...