The product of two complex numbers x + it and x' + iy' is zero. Which of the following statements is most appropriate?
Answer: One of the complex numbers is zero
Explanation
Given the product of two complex numbers (x + iy) and (x' + iy') is zero:
(x + iy)(x' + iy') = 0
This implies either (x + iy) = 0 or (x' + iy') = 0.
Therefore, at least one of the complex numbers must be zero.
This question appeared in
Past Papers (7 times)
ETEA 25 Years Past Papers Subject Wise (Solved) (2 times)
KPK Teacher Past Papers SST PST CT TT PET (2 times)
Secondary School Teacher SST Past Papers, Syllabus, Jobs (3 times)
This question appeared in
Subjects (1 times)
MATHS MCQS (1 times)
Related MCQs
- If Z1 = 2 - I and Z2 = 3 + I then the product of Z1 and Z2 is: (where Z2 and Z2 are complex numbers)?
- The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is:.
- The product of two numbers is 1320 and their HCF is 6. The LCM of the numbers is:
- Two numbers differ by 5 if their product is 336 than the sum of the two numbers is:
- The sum of two numbers is 25, and their difference is 13. What is the product of the two numbers?
- For complex numbers Z1, Z2 which one of the following is true ____?
- The set of all n, nth roots of unity forms a group under the__________of complex numbers.
- The product of two numbers is 330. If their H.C.F is 11 then their L.C.M is?
- What are the two numbers if their product is 40 and their sum is 13?
- If the sum of two numbers is 30 and their difference is 8, what is their product?
