MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 14 - Three Dimensional Geometry>Critical Thinking>Q 20

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The angle made by the vector $3 \hat{i} - 4 \hat{j} + 5 \hat{k}$ with the $Z -$ axis is

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Important Questions on Three Dimensional Geometry

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 14 - Three Dimensional Geometry>Critical Thinking>Q 21

A line passes through the points

(6, - 7, - 1)

and

(2, - 3, 1)

. If the angle

α

, which the line makes with the positive direction of

X

-axis is acute, the direction cosines of the line are

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 14 - Three Dimensional Geometry>Critical Thinking>Q 22

If first two numbers of the direction cosines of a line joining points

(1, 2, 0)

and

(3, - 1, z)

are

\frac{2}{7}, - \frac{3}{7}

, then

z

is equal to

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 14 - Three Dimensional Geometry>Critical Thinking>Q 23

If the points

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

and

(1, - 2, 3)

are collinear, the values of

a

and

b

are

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 14 - Three Dimensional Geometry>Critical Thinking>Q 24

If

(1, a, 1), (3, - 1, 2)

and

(1, a^{2}, 1)

are collinear points, then the values of

a

are

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 14 - Three Dimensional Geometry>Critical Thinking>Q 25

Points

(- 2, 4, 7), (3, - 6, - 8)

and

(1, - 2, - 2)

are

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 14 - Three Dimensional Geometry>Critical Thinking>Q 26

If the angle between the lines whose direction

cosines

are

a, \frac{- 2}{3}, \frac{1}{3}

and

\frac{2}{3}, \frac{1}{3}, \frac{- 2}{3}

is

\frac{π}{2}

, then the value of

a

is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 14 - Three Dimensional Geometry>Critical Thinking>Q 27

The acute angle between the lines having direction ratios

5, 4, 1

and

- 3, 2, 1

is

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IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 14 - Three Dimensional Geometry>Critical Thinking>Q 28

Measure of angle between two lines whose direction ratios are

1, 2, 1

and

2, - 3, 4

is