Assertion: Homogeneous system of linear equation is always consistent
Reason: x = 0, y = 0 is always a Solution of homogeneous system of equation with unknowns x and y

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Both Assertion and Reason are correct and Reason is the Correct explanation for Assertion

Both Assertion and Reason are correct and Reason is not the correct explanation if or Assertion

Assertion is correct but reason is incorrect

Assertion is In correct but reason is correct

answer is A.

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Detailed Solution

let two homogeneous system of equation be
mx + ny = 0 …(i)
mx + zy = 0. …(ii)
According Reason, we check
x = 0, y = 0 in both eqn that they are solution er or not
In (i)
m(0) + n(0) = 0
0 = 0
In (ii)
f(0) + z(0) = 0
0 = 0
Hence x = 0, y = 0 is a solution of Homepage- nears system of linear equation and also consistent.

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