JEE MATHEMATICS MCQ: DCS AND DRS

1 Easy

1 of 1

Application +4 | -1

A line

A B

in three-dimensional space makes angles

45^{\circ}

and

120^{\circ}

with the positive

X

-axis and the positive

Y

-axis, respectively. If

A B

makes an acute angle

\theta

with the positive

Z

-axis, then

\theta

equals

View answer and explanation

Correct option: C

60^{\circ}

Option C (

60^{\circ}

) is correct because it is the acute angle that the line makes with the positive Z-axis, calculated using the relationship between direction cosines.

More Questions from DCS AND DRS

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

\frac{x+3}{3 \mu}=\frac{1-2 y}{6}=\frac{5-z}{7},

4 \lambda+9 \mu

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

\frac{x+2}{-1}=\frac{y-4}{8}=\frac{z-5}{4}

4 {~m}

2 {~kg}

10 {~kg}

45^{\circ}

60^{\circ}

X

Y

Z

\mathrm{AB}

-2 / \sqrt{17}

3 / \sqrt{17},-2 / \sqrt{17}

\mathrm{AB}=\sqrt{17}

\mathrm{A}

(3,-6,10)

\mathrm{B}

a, b, c

\frac{1}{b c}, \frac{1}{c a}, \frac{1}{a b}