Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Determinants

Question:

If the points (2, 1), (-1, 4) and (a, 3) are collinear then the value/(s) of a is/(are):

Options:

1, 2

3, 0

0

2, 1

Correct Answer:

0

Explanation:

The correct answer is Option (3) - 0

given points → collinear

$Δ=\begin{vmatrix}2&1&1\\-1&4&1\\a&3&1\end{vmatrix}$

$⇒R_2→R_2-R_1,R_3→R_3-R_1$

$\begin{vmatrix}2&1&1\\-3&3&0\\a-2&2&0\end{vmatrix}=0$

$⇒-6-3a+6=0$

$⇒a=0$