Home
Class 12
MATHS
If a line makes an angle of pi/4 with...

If a line makes an angle of `pi/4` with the positive directions of each of x-axis and y-axis, then the angle that the line makes with the positive direction of the z-axis is (1) `pi/6` (2) `pi/3` (3) `pi/4` (4) `pi/2`

A

`(pi)/(4)`

B

`(pi)/(2)`

C

`(pi)/(6`

D

`(pi)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|19 Videos

  • INTEGRALS

    NEW JOYTHI PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS|34 Videos

  • LIMITS AND DERIVATIVES

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|20 Videos

Similar Questions

Explore conceptually related problems

If a line makes an angle of pi/4 with the positive direction of each of x-axis and y-axis, then the angel that the line makes with the positive direction of the z-axis is a. pi/3 b. pi/4 c. pi/2 d. pi/6

Find the slope of the lines : Making inclination of 60^(@) with the positive direction of x- axis.

If the equation of the pair of straight lines passing through the point (1,1) , one making an angle theta with the positive direction of the x-axis and the other making the same angle with the positive direction of the y-axis, is x^2-(a+2)x y+y^2+a(x+y-1)=0,a!=2, then the value of sin2theta is (a) a-2 (b) a+2 (c) 2/(a+2) (d) 2/a

A vector vecOP makes 60^(@) each with positive direction of x and y axis then the angle between vecOP and z axis is:

If a line makes angles 90^@,60^@ and 30^@ with the positive direction of x,y and z axis respectively. Find its directions cosines .

A line passes through the points (6,-7,-1)a n d(2,-3,1)dot Find te direction cosines off the line if the line makes an acute angle with the positive direction of the x-axis.

Find the equation of the line whose perpendicular distance from the origin is 4 units and the angle which the normal makes with positive direction of x - axis is 15^(@) .

If a focal chord of y^(2)=4ax makes an angle alphain[pi//4,pi//2] with the positive direction of the x-axis, then find the maximum length of this focal shord.