Three points (p + 1, 1), (2p + 1, 3) and (2p + 2, ;2p) are collin… - Vidyadip

MCQ

Three points $(p + 1,{\rm{ }}1)$, $(2p + 1,{\rm{ }}3$) and $(2p + 2,\;2p)$ are collinear, if $p =$

A
$-1$
B
$1$
✓
$2$
D
$0$

✓

Answer

Correct option: C.

$2$

c
(c) $\left| {\,\begin{array}{*{20}{c}}{p + 1}&1&1\\{2p + 1}&3&1\\{2p + 2}&{2p}&1\end{array}\,} \right| = 0$

$ \Rightarrow \,\,(p + 1)\,(3 - 2p) + 1(2p + 2 - 2p - 1)$

$ + 1\,[(2p)\,(2p + 1) - 3\,(2p + 2)] = 0$

$ \Rightarrow \,\,p = 2$.

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