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Get access to the detailed solutions to the previous years questions asked in IIM IPMAT exam
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.