If a_3 x + b_3 y + c_3 z = 0 and vmatrix a_1 & b_1 & c_1 a_2 & b_2 & c_2 a_3 & b_3 &…

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

Problem

a_1 x + b_1 y + c_1 z = 0,\; a_2 x + b_2 y + c_2 z = 0,

a_3 x + b_3 y + c_3 z = 0 \text{ and } \begin{vmatrix} a_1 & b_1 & c_1 \\ a_2 & b_2 & c_2 \\ a_3 & b_3 & c_3 \end{vmatrix} = 0, \text{ then given system has}

(a) One trivial and one non-trivial solution (b) No solution (c) One solution (d) Infinite solution