CAT 2024 - Slot 3 Quant Question 18
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CAT 2024 Slot 3 - Quant
Arranging the equation, we know that there are no solutions when the lines are parallel: for that the condition had to P/3 = − 4/3 ≠ 2/a
Checking through options:
Option a: using the first and last terms in our relation, we see that ap must not be equal to 6 for the lines to be parallel. This option puts no conditions on that and thus is not relevant.
Option c: This question is the opposite of what we want; if this is true, the lines can never be parallel.
Option d: Using the first and second terms of the relation, we see that we want kp = − 12, or kp − 12 = 0. Hence, this statement is not what we want.
Option b: Using the second and third terms, we see that we do not want k equals to − 2a, or we do not want k + 2a to be equal to 0 Therefore, b is a condition that is necessary for the lines to be parallel and have no solution.