Correct Answer - Option 1 : {-1, 3}
Concept:
Tabular form / Roaster form:
In this method, a set is described by listing all the elements, separated by commas, within the braces {}.
Example: A = {2, 3, 5} is a set of first three prime numbers.
Set –builder form:
In this method, all the elements of the set possess a single common property, which is being enlisted.
Example: B = {x : 6 ≤ x ∈ N ≤ 12}
Calculation:
Given: A = {x: x2 - 2x - 3 = 0}
x2 - 2x - 3 = 0
⇒ x2 – 3x + x - 3 = 0
⇒ x(x - 3) + 1(x - 3) = 0
⇒ (x + 1)(x - 3) = 0
⇒ x = -1 or 3
As we know that, roaster form of a set is described by listing all the elements, separated by commas, within the braces {}.
Hence the required roaster form of set A = {-1, 3}
Hence, option (1) is correct.