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`

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

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:

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.

Intersecting the y-axis at a distance of 2 units above the origin and making an angle of 30^(@) with positive direction of the x-axis.

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.

Determine x so that the line passing through (3,4)a n d(x ,5) makes an angle of 135^0 with the positive direction of the x-axis.