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

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 z-axis is

A

`(pi)/(6)`

B

`(pi)/(3)`

C

`(pi)/(4)`

D

`(pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

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

If a line makes an angle of pi/4 with the positive direction of each of x-axis and y-axis, then the angle 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

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

Let PM be the perpendicular from the point P(1, 2, 3) to XY-plane. If OP makes an angle theta with the positive direction of the Z-axies and OM makes an angle Phi with the positive direction of X-axis, where O is the origin, and theta and Phi are acute angles , then

The equation of a line AB is 2x - 2y + 3 = 0. Calculate the angle that the line AB makes with the positive direction of the x-axis.

Find the equation of the straight line which makes an angle of 15^@ with the positive direction of x-axis and which cuts and intercept of length 4 on then negative direction of y-axis.

Let PN be the perpendicular from the point P(1, 2, 3) to xy-plane. If OP makes an angle alpha with positive direction of the z-axis and ON makes an angle beta with the positive direction of x-axis, where O is the origin ( alpha and beta are acute angles), then

Let PQ be the perpendicular form P(1,2,3) to xy-plane. If OP makes an angle theta with the positive direction of z-axis and OQ makes an angle phi with the positive direction of x-axis where O is the origin show that tantheta=sqrt(5)/3 and tanphi=2 .

Find the equation of the line which intercepts a length 2 on the positive direction of the x-axis and is inclined at an angle of 135^@ with the positive direction of y-axis .

A line making angles 45^0 and 60^0 with the positive directions of the x and y axes respectively , makes with the positive direction of z-axis an angle of (A) 60^0 (B) 120^0 (C) 60^0 or 120^0 (D) none of these