Which roster form is correct for M = {x : x ∈ Z and x² = 0}?
Answer and explanation
Correct answer: M = {0}
The governing concept is solving a zero-square equation within a specified domain. Since x² = 0 only when x = 0, and 0 is an integer, the set contains exactly one element: M = {0}. It is not empty, because 0 satisfies the condition. The pair {-1,1} would solve x² = 1, and option D adds 1 without justification. Thus B is correct.
Frequently asked questions
What is the correct answer to this question?
M = {0}
Why is this the correct answer?
The governing concept is solving a zero-square equation within a specified domain. Since x² = 0 only when x = 0, and 0 is an integer, the set contains exactly one element: M = {0}. It is not empty, because 0 satisfies the condition. The pair {-1,1} would solve x² = 1, and option D adds 1 without justification. Thus B is correct.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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