Question

If the direction ratios of two parallel lines be a₁, a₂, a₃ and b₁, b₂, b₃ then \(\frac{b_3}{b_1} = \)

(A) \(\frac{a_1}{a_3} \)

(B) \(\frac{a_2}{b_2} \)

(C) \(\frac{a_3} {a_1}\)

(D) \(\frac{a_1}{a_2} \)

Answer 1

Correct option is (C) \(\frac{a_3} {a_1}\) 

\(\because \) Both lines are parallel.

\(\therefore \frac {a_1}{b_1} = \frac {a_2}{b_2} = \frac{a_3}{b_3}\)

⇒ \(\frac{a_1}{b_1} = \frac {a_3}{b_3}\)

⇒ \(\frac {b_3}{b_1} = \frac{a_3}{a_1}\)