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 31

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If a plane passing through the point $(2, 2, 1)$ and is perpendicular to the planes $3 x + 2 y + 4 z + 1 = 0$ and $2 x + y + 3 z + 2 = 0$ . Then, the equation of the plane is

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Important Questions on Three Dimensional Geometry

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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 1>Q 3

Find the direction cosines of the line joining the points

A (6, - 7, - 1)

and

B (2, - 3, 1)

.

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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 24

Find the equation of the plane with intercepts

2, 3

and

4

on the

x, y

and

z

-axis respectively.

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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 32

The angle between the lines

2 x = 3 y = - z

and

6 x = - y = - 4 z

, is

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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 33

The direction cosines of line which is perpendicular to the lines whose direction cosines are proportional to

1, - 1, 2

and

2, 1, - 1

are

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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 34

A variable plane remains at constant distance

p

from the origin. If it meets coordinate axes at points

A, B, C

then the locus of the centroid of

Δ A B C

is

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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 35

The co-ordinates of the foot of perpendicular from the point

A (1, 1, 1)

on the line joining the points

B (1, 4, 6)

and

C (5, 4, 4)

are