3d geometry system practice · Hard

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Practice format and chapter quiz

These sets use single-correct-answer MCQs. They do not cover every JEE Main or JEE Advanced question format and are not full-length mock papers.

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1 Hard

1 of 2

Application +4 | -1

Projection of the line

x+y+z-3=0=2 x+3 y+

4 z-6

on the plane

z=0

View answer and explanation

Correct option: B

\frac{x}{1}=\frac{y-6}{-2}=\frac{z}{0}

Option B,

\frac{x}{1}=\frac{y-6}{-2}=\frac{z}{0}

, is the correct answer because it represents the projection of the given line onto the plane z=0, found by eliminating z and finding the direction ratios.

2 Hard

2 of 2

Application +4 | -1

The distance between the planes

{r} \cdot(2 \hat{i}-\hat{j}+3 \hat{k})=4

and

{r} \cdot(6 \hat{i}-3 \hat{j}+9 \hat{k})+13=0

View answer and explanation

Correct option: C

\frac{25}{3 \sqrt{14}}

Option C (

\frac{25}{3 \sqrt{14}}

) is the correct distance between the two parallel planes after normalizing the second plane's equation and applying the distance formula.

Revision notes and key takeaways

Review 3D GEOMETRY SYSTEM in your textbook or class notes, then use this set to check your understanding.

Key Takeaways

✓ This set contains 2 single-correct-answer MCQs on 3D GEOMETRY SYSTEM.
✓ Try each question before opening its answer. Read the explanation where one is available.
✓ Sign in to save submitted answers. Revisit incorrect answers alongside your textbook or class notes.

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