Given the points

MATHEMATICS · Single correct · CBSE · Mathematics · Determinants · Determinants

Problem

Given the points

P(0,0)

Q(5,0)

and

R(2,4)

, which one of the following orders of listing the vertices will yield a positive value of the determinant

\begin{vmatrix}x_1 & y_1 & 1\\ x_2 & y_2 & 1\\ x_3 & y_3 & 1\end{vmatrix}

? (a)

R,\,Q,\,P

(b)

Q,\,P,\,R

(c)

R,\,P,\,Q

(d)

P,\,R,\,Q