EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 31 - Three Dimensional Geometry>JKCET 2019>Q 1

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What is the ratio in which the line segment joining the points $(- 3, 2, 5)$ and $(6, 3, 2)$ is divided by the $X Y$ - plane?

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Important Questions on Three Dimensional Geometry

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 31 - Three Dimensional Geometry>JKCET 2019>Q 2

A straight line makes an angle of

30 °, 45 °

and

60 °

with the positive direction of

X -

axis,

Y -

axis and

Z -

axis respectively. What are the direction cosines of the straight line?

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 31 - Three Dimensional Geometry>JKCET 2017>Q 3

If

α, β, γ

are the angles made by a vector with the co-ordinate axes, then

\sin^{2} α + \sin^{2} β + \sin^{2} γ =

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 31 - Three Dimensional Geometry>JKCET 2019>Q 4

The

x

-coordinate of a point

A

on the line joining the points

B (1, 3, 1)

and

C (3, 1, 2)

is

6 .

What is the

y

-coordinate of the point

A

?

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 31 - Three Dimensional Geometry>JKCET 2018>Q 5

The direction ratios of a normal to a plane are

(3, 12, 4) .

Through which of the following points the plane passes if origin is at a distance of

2

units from this plane?

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 31 - Three Dimensional Geometry>JKCET 2018>Q 6

What will be the distance of point

(2, 4, - 1)

from the straight line given by

(x + 5) = (y + 3) / 4 = (6 - z) / 9 ?

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 31 - Three Dimensional Geometry>JKCET 2018>Q 7

Two lines in a three-dimensional system are given as

\frac{(x - 1)}{2} = \frac{(y - 2)}{3} = \frac{(z - 3)}{4}

and

\frac{(x - 4)}{5} = \frac{(y - 1)}{2} = z .

Their point of intersection is

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 31 - Three Dimensional Geometry>JKCET 2018>Q 8

A plane passes through the points

(2, 1, - 1)

and

(- 1, 3, 4) .

Also, this plane is perpendicular to the plane

x - 2 y + 4 z = 10 .

The equation of the plane is

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 31 - Three Dimensional Geometry>JKCET 2018>Q 9

A plane is given as

3 x + 4 y - 12 z + 13 = 0 .

The points

(1, 1, k)

and

(- 3, 0, 1)

are equidistant from the plane. What will be the quadratic equation that will have roots as values of

k ?