If a b = b c 0 and a + c 0, then - Vidyadip

MCQ

If $a \times b = b \times c \ne 0$ and $a + c \ne 0,$ then

A
$(a + c)\, \bot \,b$
✓
$(a + c)\,\,|\,\,|\,\,b$
C
$a + c = b$
D
None of these

✓

Answer

Correct option: B.

$(a + c)\,\,|\,\,|\,\,b$

b
(b) $a \times b = b \times c \Rightarrow (a + c)\, \times \,\,b = 0,$but $a + c \ne 0$

$ \Rightarrow a + c||b.$

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