MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 14 - Three Dimensional Geometry>Classical Thinking>Q 7

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Which of the following angles made by a line with co-ordinate axes are not possible?

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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>Classical Thinking>Q 8

If the direction cosines of a line are

k, \frac{1}{2}, 0

then

k =

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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>Classical Thinking>Q 9

A line makes angles of

45^{°}

and

60^{°}

with the positive axes of

X

and

Y

, respectively. The angle made by the same line with the positive axis of

Z

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>Classical Thinking>Q 10

A line makes angles

α, β, γ

with co-ordinates axes. If

α + β = 90^{°}

then

γ

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>Classical Thinking>Q 11

If a line makes angles

60^{°}

and

45^{°}

with the

Y

and

Z

-axes, respectively, then 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>Classical Thinking>Q 12

The co-ordinates of the point

P

are

(x, y, z)

and the direction cosines of the line

O P

when

O

is the origin, are

l, m, n

. If

O P = r

, then

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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>Classical Thinking>Q 13

The direction cosines of the vector

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

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>Classical Thinking>Q 14

The direction cosines of the vector

3 \hat{i} + 4 \hat{k}

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>Classical Thinking>Q 15

If the length of a vector be

7

and direction ratios be

2, - 3, 6

, then its direction cosines are