MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 16 - Plane>Classical Thinking>Q 70

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The equation of the plane containing the lines $\bar{r} = \hat{i} + 2 \hat{j} - \hat{k} + λ (\hat{i} + 2 \hat{j} - \hat{k})$ and $\bar{r} = \hat{i} + 2 \hat{j} - \hat{k} + μ (\hat{i} + \hat{j} + 3 \hat{k})$ is

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Important Questions on Plane

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 16 - Plane>Critical Thinking>Q 2

Equation of a plane passing through

(1, 1, 1)

and containing

X

-axis is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 16 - Plane>Critical Thinking>Q 4

The equation of plane passing through mid point of the points joining

\hat{i} + 2 \hat{j} + 4 \hat{k}

and

- \hat{i} + 2 \hat{j} - 6 \hat{k}

and perpendicular to it is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 16 - Plane>Critical Thinking>Q 5

Equation of the plane passing through point

P (a, b, c)

and perpendicular to

O P

is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 16 - Plane>Critical Thinking>Q 6

Equation of the plane which bisects the line segment joining the points

(- 1, 2, 3)

and

(3, - 5, 6)

perpendicularly is:

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 16 - Plane>Critical Thinking>Q 7

The intercepts made on the axes by the plane which bisects the line joining the points

(1, 2, 3)

and

(- 3, 4, 5)

at right angles are

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 16 - Plane>Critical Thinking>Q 8

The equation of the plane through the points

(2, - 1, 0),

and

(3, - 4, 5)

and parallel to a line with direction cosines proportional to

2, 3, 4

is

9 x - 2 y - 3 z = k,

where

k

is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 16 - Plane>Critical Thinking>Q 9

If the vector equation of a plane passing through three points

(1, 0, z_{1}), (1, - 1, 1),

and

(4, - 3, 2)

is

\bar{r} \cdot (- \hat{i} + 3 \hat{k}) = 2,

then the value of

z_{1}

is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 16 - Plane>Critical Thinking>Q 10

The equation of the plane passing through the points

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

and

(7, 0, 6)

is

5 x + 3 y - 2 z = λ,

where

λ

is