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Model Paper 6 — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsModel Paper 61 Mark
MCQ
If $\left(a_1, b_1, c_1\right)$ and $\left(a_2, b_2, c_2\right)$ be the direction ratios of two parallel lines then
  • A
    $a_1^2+b_1^2+c_1^2=a_2^2+b_2^2+c_2^2$
  • ✓
    $\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}$
  • C
    $a_1, a_2, b_1=b_2, c_1=c_2$
  • D
    $a_1 a_2+b_1 b_2+c_1 c_2=0$
✓

Answer

Correct option: B.
$\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}$
(b) $\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}$
Explanation: We know that if there are two parallel lines then their direction ratios must have a relation
$\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}$

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