The coordinates of a point of the line x - 1 2 = y + 1 - 3 = z at distance 4 14 from the point 1 , - 1 , 0 nearer to the origin are

- 8 14 + 1 , 12 14 - 1 , - 4 14

A line segment has length 63 and direction ratios are 326 If the line makes an obtuse angle with xaxis the components of the line vector are

EASY

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 16 - Three Dimensional Geometry>Exercise 2>Q 2

The centre of sphere passes through four points

(0, 0, 0), (0, 2, 0), (1, 0, 0)

and

(0, 0, 4)

is

MEDIUM

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 16 - Three Dimensional Geometry>Exercise 2>Q 3

The coordinates of the point where the line through the points

A (3, 4, 1)

and

B (5, 1, 6)

crosses the

X Y

-plane is

MEDIUM

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 16 - Three Dimensional Geometry>Exercise 2>Q 4

A plane passes through a fixed point

(a, b, c)

. The locus of the foot of perpendicular to it from the origin is a sphere of radius

EASY

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 16 - Three Dimensional Geometry>Exercise 2>Q 5

The lines

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

and

\frac{x - 1}{k} = \frac{y - 4}{2} = \frac{z - 5}{1}

are coplanar, if

MEDIUM

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 16 - Three Dimensional Geometry>Exercise 2>Q 6

Foot of perpendicular drawn from the point

P (2, 3, 4)

to the straight line

\frac{x - 1}{2} = \frac{y - 3}{3} = \frac{z - 3}{6}

is

MEDIUM

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 16 - Three Dimensional Geometry>Exercise 2>Q 7

The image of the point

P (1, 3, 4)

in the plane

2 x - y + z + 3 = 0

is

MEDIUM

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 16 - Three Dimensional Geometry>Exercise 2>Q 8

The coordinates of a point of the line

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

at distance

4 \sqrt{14}

from the point

(1, - 1, 0)

nearer to the origin are

EASY

VITEEE

IMPORTANT

Comprehensive Guide to VITEEE Mathematics. Other applicable Exams - JEE Main, BITSAT, SRM JEE, MHT-CET, K-CET, EAMCET, AMU & Other State Engg. Entrance Exams>Chapter 16 - Three Dimensional Geometry>Exercise 2>Q 9

Two lines

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

and

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

intersect at a point, if

k

is equal to

A line segment has length $63$ and direction ratios are $3, - 2, 6$ . If the line makes an obtuse angle with $x$ -axis, the components of the line vector are

Important Questions on Three Dimensional Geometry

Learn and Prepare for any exam you want !

A line segment has length 63 and direction ratios are 3,-2,6. If the line makes an obtuse angle with x-axis, the components of the line vector are

Important Questions on Three Dimensional Geometry

Learn and Prepare for any exam you want !

A line segment has length $63$ and direction ratios are $3, - 2, 6$ . If the line makes an obtuse angle with $x$ -axis, the components of the line vector are