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 7

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If a line makes angles of $30 °$ and $45 °$ with $X -$ axis and $Y -$ axis, respectively, then the angle made by it with $Z -$ 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 8

The direction cosines of a vector

\vec{r}

which is equally inclined with axes 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 9

The sum of the direction cosines of a line which makes equal acute angles with the positive direction of coordinate axes 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 10

If a line makes angle

α, β, γ

with the axes, then

\cos 2 α + \cos 2 β + \cos 2 γ =

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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 11

If

α, β, γ

are the angles made by a line with the coordinate axes, then

\sin^{2} α + \sin^{2} β + \sin^{2} γ =

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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 12

Number of lines which make angles

\frac{π}{6}

and

\frac{π}{4}

with any two of

O X, O Y

and

O Z

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 14

The projections of a line on the coordinate axes are

4, 6, 12

. 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 15

If

P (x, y, z)

is a point in space at a distance

r

from the origin

O

, then the direction cosines of the line

O P

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 16

A line

A B

is inclined to

O X

at

45 °

and to

O Y

at

60 °

and let

P

be any point on line

A B

such that

O P = 12

units. Then the position vector of

P

is