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Three-Dimensional Geometry · Question 43 of 120

Question 43

MediumOriginal question

The point (p,4,−3)(p, 4, -3) lies on the line x−12=y−21=z+1−1\frac{x - 1}{2} = \frac{y - 2}{1} = \frac{z + 1}{-1}. What is pp?

Options for question 43

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. From yy: 4−21=2\frac{4 - 2}{1} = 2; zz agrees, −3+1−1=2\frac{-3 + 1}{-1} = 2.

  2. p−12=2\frac{p - 1}{2} = 2, so p=5p = 5.

Worth noting

9 uses y=4y = 4 itself as the common ratio instead of 4−21\frac{4 - 2}{1}.

Concept
A point on a line in Cartesian form
Typical time
90 s
Your time
—
The rule this testsThe equation of a line
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Ten questions from Three-Dimensional Geometry, at your own pace.

Practise this chapter →

Ten questions from Three-Dimensional Geometry, at your own pace.