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Three-Dimensional Geometry · Question 38 of 120

Match each line in List I with a set of its direction ratios in List II.

Question 38

EasyOriginal question

Match each line in List I with a set of its direction ratios in List II.

List IList II
A. x−12=y+3−1=z4\frac{x - 1}{2} = \frac{y + 3}{-1} = \frac{z}{4}I. 3,−2,13, -2, 1
B. r⃗=(i^−k^)+λ(3j^+k^)\vec{r} = (\hat{i} - \hat{k}) + \lambda(3\hat{j} + \hat{k})II. 2,−1,42, -1, 4
C. The line through (1,2,0)(1, 2, 0) and (4,0,1)(4, 0, 1)III. −2,3,1-2, 3, 1
D. 1−x2=y3=z+11\frac{1 - x}{2} = \frac{y}{3} = \frac{z + 1}{1}IV. 0,3,10, 3, 1
Options for question 38

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. A: the denominators, 2,−1,42, -1, 4; B: the vector multiplying λ\lambda, 0,3,10, 3, 1.

  2. C: 4−1,0−2,1−0=3,−2,14 - 1, 0 - 2, 1 - 0 = 3, -2, 1; D: 1−x2=x−1−2\frac{1 - x}{2} = \frac{x - 1}{-2}, so −2,3,1-2, 3, 1.

Concept
Direction ratios of a line in any form
Typical time
90 s
Your time
—
The rule this testsThe equation of a line
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