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Question

Assertion (A)
The system of equations 3x-2y+1=0 and 6x-4y+3=0 is inconsistent.
Reason (R)
The system of equations a1x+b1y+c1=0 and a2x+b2y+c2=0 has a unique solution when a1b2b1b2.
(a) Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A).
(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).
(c) Assertion (A) is true and Reason (R) is false.
(d) Assertion (A) is false and Reason (R) is true.

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Solution

Option (b) is correct.
Reason (R) is clearly true.
For the given system to be inconsistent, we must have,
ab =cdef
Also, 36=-2-413k=6
So, Assertion (A) is true, but Reason (R) is not a correct explanation of Assertion (A).

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