If line makes an angle of 45° with the positive side of X -axis then write its slope.

Find the equation of a straight line on which length of perpendicular from the origin is four units and the line makes an angle of 120° with the positive direction of X -axis. Thinking Process : Equation of line which makes an angle alpha with positive side of X axis and whose length of perpendicular from origin p is given by x cos alpha+ y sin alpha = p .

Find the slope of the line, which makes an angle of 30° with the positive direction of Y -axis measured anticlockwise.

If line makes an angle 45° with X -axis then write its slopes.

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, then find theta and Phi .

If a line makes an angle (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

Find the slope of the line, which makes an angle of 30^(@) with the positive direction of y-axis measured anticlockwise.

Let L be the line of intersection of the planes 2x+3y+z=1 and x+3y+2z=2 . If L makes an angle alpha with the positive X=axis, then cosalpha equals

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

If a line makes angles alpha,beta and gamma with the positive direction of axes then show that, sin^2alpha+sin^2 beta sin^2 gamma=2

Write down a unit vector in XY-plane, making an angle of 30^(@) with the positive direction of x-axis.