EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 29 - Three Dimensional Geometry>Assam CEE 2016>Q 10

EASY

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IMPORTANT

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The graph of the equation $x^{2} + y^{2} = 0$ in three-dimensional space is

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Important Questions on Three Dimensional Geometry

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Assam CEE

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 29 - Three Dimensional Geometry>Assam CEE 2018>Q 1

The equation of the plane passing through the point

(- 10, 5, 4)

and perpendicular to the line joining the points

(4, - 1, 2)

and

(- 3, 2, 3)

is

HARD

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 29 - Three Dimensional Geometry>Assam CEE 2018>Q 2

The shortest distance between

A (1, 0, 2)

and the line

\frac{x + 1}{3} = \frac{y - 2}{- 2} = \frac{z + 1}{- 1}

is given by line joining

A

and

B

, then

B

in the line is

HARD

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 29 - Three Dimensional Geometry>Assam CEE 2017>Q 3

If a variable plane forms a tetrahedron of constant volume

64 k^{3}

with the co-ordinate planes, then the locus of the centroid of the tetrahedron is:

EASY

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 29 - Three Dimensional Geometry>Assam CEE 2017>Q 4

The equation

(x - 1) (x - 2) = 0

represents, in three dimensional space, a:

EASY

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 29 - Three Dimensional Geometry>Assam CEE 2017>Q 5

The lines

\bar{r} = {\bar{a}}_{1} + t {\bar{v}}_{1}

and

\bar{r} = {\bar{a}}_{2} + s {\bar{v}}_{2},

lie in a plane

({\bar{v}}_{1} \times {\bar{v}}_{2} \neq \bar{0})

if:

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 29 - Three Dimensional Geometry>Assam CEE 2016>Q 6

The ratio in which the plane

\vec{r} (\hat{i} - 2 \hat{j} + 3 \hat{k}) = 17

divides the line joining the points

- 2 \hat{i} + 4 \hat{j} + 7 \hat{k}

and

3 \hat{i} - 5 \hat{j} + 8 \hat{k}

is

MEDIUM

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 29 - Three Dimensional Geometry>Assam CEE 2016>Q 7

The number of straight lines that are equally inclined to the three-dimensional coordinate axes is

EASY

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 29 - Three Dimensional Geometry>Assam CEE 2016>Q 8

The value of

λ

for which the straight line

\frac{x - 1}{1 + λ} = \frac{y + 1}{1 - λ} = \frac{z - 5}{- 4}

may lie on the plane

2 x - 3 y + z = 0

is