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

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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 Questions on Plane

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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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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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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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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

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 25 - Plane>MHT-CET 2020 (12-Oct Shift-1)>Q 11

The angle between the line

\frac{x - 1}{2} = \frac{y + 3}{1} = \frac{z + 7}{2}

and the plane

\vec{r} \cdot (6 \hat{ı} - 2 \hat{ȷ} - 3 \hat{k}) = 5

is