2023 · Q72
Item contains a Question followed by two Statements. Answer each item using the following instructions : Question : What are the unique values of a, b and c if 2 is a root of the equation ax² + bx + c = 0?
Statement IRatio of c to a is 1.
Statement IIRatio of b to a is (-(5)/(2)).
Elementary MathematicsAlgebra
- AChoose this option if the Question can be answered by one of the Statements alone but not by the other.
- BChoose this option if the Question can be answered by either Statement alone.
- CChoose this option if the Question can be answered by using both the Statements together, but cannot be answered by using either Statement alone.
- DChoose this option if the Question cannot be answered even by using both Statements together.
Explanation
x = 2 being a root gives 4a + 2b + c = 0. The statements add c = a and b = −5a/2, but a itself remains free — a, b, c are fixed only up to a common scale, never to unique values. Even both statements together cannot answer the question (D).