Class CBSE Class 12 Mathematics Three Dimensional Geometry Q #824
KNOWLEDGE BASED
REMEMBER
1 Marks 2023 MCQ SINGLE
14. Distance of the point $(p, q, r)$ from y-axis is :
(A) q
(B) q
(C) $|q|+|r|$
(D) $\sqrt{p^{2}+r^{2}}$
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AI Tutor Explanation

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Step-by-Step Solution

  1. The distance of a point $(x, y, z)$ from the y-axis is given by $\sqrt{x^2 + z^2}$.
  2. In this case, the point is $(p, q, r)$, so the distance from the y-axis is $\sqrt{p^2 + r^2}$.

Correct Answer: $\sqrt{p^{2}+r^{2}}$

AI Suggestion: Option D

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Pedagogical Audit
Bloom's Analysis: This is an REMEMBER question because it requires recalling the formula for the distance of a point from the y-axis in 3D space.
Knowledge Dimension: FACTUAL
Justification: The question directly tests the recall of a specific formula or fact related to coordinate geometry in three dimensions.
Syllabus Audit: In the context of CBSE Class 12, this is classified as KNOWLEDGE. The question is based directly on textbook knowledge of 3D geometry and coordinate systems.

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