EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 25 - Plane>MHT-CET 2020 (12-Oct Shift-1)>Q 2

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IMPORTANT

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The equation of a plane containing the point $(1, - 1, 1)$ and parallel to the plane $2 x + 3 y - 4 z = 17$ is

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Important Questions on Plane

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 25 - Plane>MHT-CET 2019>Q 3

If the foot of the perpendicular drawn from the point

(0, 0, 0)

to the plane is

(4, - 2, - 5)

then the equation of the plane is …..

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 25 - Plane>MHT-CET 2018>Q 4

If lines

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

and

\frac{x - 3}{1} = \frac{y - k}{2} = \frac{z - 0}{1}

intersect, then the value of

k

is

EASY

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 25 - Plane>MHT-CET 2017>Q 5

The equation of the plane through

(- 1, 1, 2),

whose normal makes equal acute angle with co-ordinate axes is

EASY

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 25 - Plane>MHT-CET 2020 (13-Oct Shift 1)>Q 6

The distance of the point

(3, 4, 5)

from the point of intersection of the line

\frac{x - 3}{1} = \frac{y - 4}{2} = \frac{z - 5}{2}

and plane

x + y + z = 2

is

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 25 - Plane>MHT-CET 2019>Q 7

Equations of planes parallel to the plane

x - 2 y + 2 z + 4 = 0

which are at a distance of one unit from the point

(1,2, 3)

are …..

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 25 - Plane>MHT-CET 2017>Q 8

If the distance of points

2 \hat{i} + 3 \hat{j} + λ \hat{k}

from the plane

\vec{r} \cdot (3 \hat{i} + 2 \hat{j} + 6 \hat{k}) = 13

is

5

units then

λ =

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 25 - Plane>MHT-CET 2017>Q 9

If the angle between the planes

\vec{r} . (m \hat{i} - \hat{j} + 2 \hat{k}) + 3 = 0

and

\vec{r} . (2 \hat{i} - m \hat{j} - \hat{k}) - 5 = 0

is

\frac{π}{3}

then

m =

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 25 - Plane>MHT-CET 2020 (12-Oct Shift-1)>Q 10

If

O \equiv (0, 0, 0), P \equiv (1, \sqrt{2}, 1),

then the acute angles made by the line

O P

with

X O Y

,

Y O Z, Z O X

planes are, respectively