Statement 1: |
If , then lines and cannot be parallel |
Statement 2: |
If sum of the equations for three straight lines is identically zero, then they are either concurrent or parallel |
a) |
Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1 |
b) |
Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1 |
c) |
Statement 1 is True, Statement 2 is False |
d) |
Statement 1 is False, Statement 2 is True |
Statement 1: |
If , then lines and cannot be parallel |
Statement 2: |
If sum of the equations for three straight lines is identically zero, then they are either concurrent or parallel |
a) |
Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1 |
b) |
Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1 |
c) |
Statement 1 is True, Statement 2 is False |
d) |
Statement 1 is False, Statement 2 is True |
(d)
Statement 1 is false since but the lines and are parallel. Statement 2 is a standard result whose more general form as follows. Let be three lines. Now, if we can find (not all zero) such that , then the three line are either concurrent or parallel