VECTOR AND 3-D GEOMETRY for JEE Main and Advanced>Chapter 8 - Plane>EXERCISE>Q 19

MEDIUM

JEE Advanced

IMPORTANT

Earn 100

The three planes $x + y = 0, y + z = 0$ and $x + z = 0$

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Important Questions on Plane

EASY

JEE Advanced

IMPORTANT

VECTOR AND 3-D GEOMETRY for JEE Main and Advanced>Chapter 8 - Plane>EXERCISE>Q 20

The equation

x^{2} - x - 2 = 0

in three dimensional space is represented by

MEDIUM

JEE Advanced

IMPORTANT

VECTOR AND 3-D GEOMETRY for JEE Main and Advanced>Chapter 8 - Plane>EXERCISE>Q 21

The angle between the plane

3 x + 4 y = 0

and the line

x^{2} + y^{2} = 0

is

EASY

JEE Advanced

IMPORTANT

VECTOR AND 3-D GEOMETRY for JEE Main and Advanced>Chapter 8 - Plane>EXERCISE>Q 22

The locus of a first degree equation in

x, y

and

z

is a

MEDIUM

JEE Advanced

IMPORTANT

VECTOR AND 3-D GEOMETRY for JEE Main and Advanced>Chapter 8 - Plane>EXERCISE>Q 23

If the points

(0, - 1, - 2), (- 3, - 4, - 5), (- 6, - 7, - 8)

and

(x, x, x)

are non-coplanar, then

x

is

MEDIUM

JEE Advanced

IMPORTANT

VECTOR AND 3-D GEOMETRY for JEE Main and Advanced>Chapter 8 - Plane>EXERCISE>Q 24

The points

(3, - 2, - 1), (- 1, 1, 2), (2, 3, - 4)

and

(4, 5, λ)

are coplanar when

λ =

MEDIUM

JEE Advanced

IMPORTANT

VECTOR AND 3-D GEOMETRY for JEE Main and Advanced>Chapter 8 - Plane>EXERCISE>Q 25

The equation of the right bisector plane of the segment joining

(2, 3, 4)

and

(6, 7, 8)

is

EASY

JEE Advanced

IMPORTANT

VECTOR AND 3-D GEOMETRY for JEE Main and Advanced>Chapter 8 - Plane>EXERCISE>Q 26

The equation of the plane through the point

(1, 2, - 3)

which is parallel to the plane

3 x - 5 y + 2 z = 11

is given by

EASY

JEE Advanced

IMPORTANT

VECTOR AND 3-D GEOMETRY for JEE Main and Advanced>Chapter 8 - Plane>EXERCISE>Q 27

The distance between the parallel planes

x + 2 y - 3 z = 2

and

2 x + 4 y - 6 z + 7 = 0

is: