If a makes an angle of pi//4 with the po...

If a 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

`pi//2`

`pi//6`

`pi//3`

`pi//4`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

DIRECTION COSINES & RATIOS
AAKASH SERIES|Exercise EXERCISE - II|18 Videos
DIFFRENTATION
AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED)) (Integer Type Questions)|5 Videos
DIRECTION COSINES AND RATIOS
AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|8 Videos

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

Angle made by the line y = x with the positive direction of X-axis is .......

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

A straight line passing through (1, 1, 1) makes an angle of 60^(@) with the positive direction of the z-axis, and the cosines of the angles made with the positive directions of y, x-axis are in the ratio sqrt(3):1 . Then the acute angle between the two possible positions of the line is

If a line makes anles pi//3, pi//4 with the positive x-axis and y-axis then the angle made by the line with positive z-axis is

A pair of straight lines is passing through the point (1, 1). One of the lines makes an angle theta with the positive direction of X-axis and the other makes the same angle with the positive direction of Y-axis. If the equation of the pair of straight lines is x^(2)-(a+2)xy+y^(2)+a(x+y-1)=0,a ne-2 , then the value of theta is

If a line makes angles 60^(@), 60^(@) with the positive x-axis and y-axis then the angle made by the line with positive z-axis is

Find the angle made by the straight line y=-sqrt(3)x+3 with positive direction of x-axis.

AAKASH SERIES-DIRECTION COSINES & RATIOS-PRACTICE EXERCISE

If the d.c's of the two lines are (2)/(3),(2)/(3),(1)/(3),(5)/(13),(12...
Text Solution
|
If (6,-2,-3),(1,2,2) are d.r's of two lines then the d.c's of line bis...
Text Solution
|
If (l(1),m(1),n(1)),(l(2),m(2),n(2)) are direction cosines of two line...
Text Solution
|
If the d.c's (l,m,n) of two lines are related as l + m + n = 0, 2lm -...
Text Solution
|
If the d.c's (l,m,n) of two lines are connected by the relations 3l+m+...
Text Solution
|
If the direction rations of two lines are given by 3lm-4ln+mn = 0 and ...
Text Solution
|
If the d.c's of two lines are such that l+3m+n = 0, 3l^(2) + 5m^(2) - ...
Text Solution
|
If the d.c's (l,m,n) of two lines are connected by the relations 7l^(...
Text Solution
|
The angle between two lines whose d.c's satisfy the equation n = l + m...
Text Solution
|
Assertion (A): The points A(2,3,5) B(4,6,10), C(8,12,20) are collinear...
Text Solution
|
The projection of a vector on the three coordinate axes are 6,-3,2 res...
Text Solution
|
The projection of the join of the points (3,4,2), (5,1,8) on the line ...
Text Solution
|
The projection of the join of the two points (1,4,5), (6,7,2) on the l...
Text Solution
|
A (x(1),y(1),z(1)), B(x(2),y(2),z(2)) are two points. Then the lenghts...
Text Solution
|
If A(1,2,3), B(6,7,7), C(9,9,0) are three points, then the foot of the...
Text Solution
|
Assertion (A): A(x(1),y(1),z(1)), B(x(2),y(2),z(2)). The projection of...
Text Solution
|
A line makes the same angle theta, with each of the x and z axis. If t...
Text Solution
|
If a makes an angle of pi//4 with the positive direction of each of x-...
Text Solution
|
A tetrahedron has vertices at O(0,0,0), A(1,2,1), B(2,1,3) and C(-1,1,...
Text Solution
|
Tha angle between the lines whose d.c's satisfy the equation l+m+n=0 a...
Text Solution
|