Mathematics

Problem

Which of the following conditions on the ratios

\dfrac{a_1}{a_2},\dfrac{b_1}{b_2},\dfrac{c_1}{c_2}

guarantees that a pair of linear equations in two variables has no solution? a)

\dfrac{a_1}{a_2}\ne\dfrac{b_1}{b_2}

\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}

\dfrac{a_1}{a_2}=\dfrac{c_1}{c_2}\ne\dfrac{b_1}{b_2}

\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\ne\dfrac{c_1}{c_2}