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Statement 1: If the system of equations ...

Statement 1: If the system of equations `a_(1)x+b_(1)y+c_(1)z=0,a_(2)x+b_(2)y+c_(2)z=0` and `a_(3)x+b_(3)y+c_(3)z=0` have a solution `(alpha, beta, gamma)` such that `alpha beta gamma ne 0` then for any other non trivial solution `(alpha_(1),beta_(1),gamma_(1)),alpha_(1).beta_(1).gamma_(1) ne 0`.
because
Statement 2 : If `alpha, beta, gamma` is any non trivial solution of the equations `a_(1)x+b_(1)y+c_(1)z=0,a_(2)x+b_(2)y+c_(2)z=0` and `a_(3)x+b_(3)y+c_(3)z=0`, then `alpha beta gamma ne 0`.

A

Statement - 1 is True, Statement - 2 is True, Statement - 2 is a correct explanation for Statement - 1

B

Statement - 1 is True, Statement - 2 is True, Statement - 2 is NOT a correct explanation for Statement - 1

C

Statement - 1 is True, Statement - 2 is False

D

Statement - 1 is False, Statement - 2 is True

Text Solution

Verified by Experts

The correct Answer is:
C
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