If the points a + b, , ,a - b and a + k ,b be collinear, then k = - Vidyadip

MCQ

If the points $a + b,\,\,a - b$ and $a + k\,b$ be collinear, then $k =$

A
$0$
B
$2$
C
$-2$
✓
Any real number

✓

Answer

Correct option: D.

Any real number

d
(d) $\overrightarrow {AB} = \lambda \overrightarrow {BC} $,

$\overrightarrow {AB} = - 2b,$ $\overrightarrow {BC} = (k + 1)b$

$\forall \,\,k \in R \Rightarrow \overrightarrow {AB} = \lambda \overrightarrow {BC} .$

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