MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 16 - Plane>Competitive Thinking>Q 27

HARD

MHT-CET

IMPORTANT

Earn 100

The equation of the plane passing through the points $(1, 2, 3), (- 1, 4, 2)$ and $(3, 1, 1)$ is

50% studentsanswered this correctly

Important Questions on Plane

HARD

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 16 - Plane>Competitive Thinking>Q 28

If the plane passing through the points

(1, 2, 3), (2, 3, 1)

and

(3, 1, 2)

is

a x + b y + c z = d

, then

a + 2 b + 3 c =

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MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 16 - Plane>Competitive Thinking>Q 29

The equation of the plane passing through the intersection of the planes

x + 2 y + 3 z + 4 = 0

and

4 x + 3 y + 2 z + 1 = 0

and the origin is

HARD

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 16 - Plane>Competitive Thinking>Q 30

The equation of plane passing through

(2, 1, 0)

and line of intersection of planes

x - 2 y + 3 z = 4

and

x - y + z = 3

is

HARD

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 16 - Plane>Competitive Thinking>Q 31

Equation of the plane perpendicular to the line

\frac{x}{1} = \frac{y}{2} = \frac{z}{3}

and passing through the point

(2, 3, 4)

is

HARD

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 16 - Plane>Competitive Thinking>Q 32

A plane which passes through the point

(3, 2, 0)

and the line

\frac{x - 3}{1} = \frac{y - 6}{5} = \frac{z - 4}{4}

is

HARD

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 16 - Plane>Competitive Thinking>Q 33

The equation of the plane through the point

(2, - 1, - 3)

and parallel to the lines

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

and

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

is

HARD

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 16 - Plane>Competitive Thinking>Q 34

Let the line

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

lie in the plane

x + 3 y - α z + β = 0

. Then,

(α, β)

equals

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 16 - Plane>Competitive Thinking>Q 35

The angle between two planes

x + 2 y + 2 z = 3

and

- 5 x + 3 y + 4 z = 9

is