If the plane `2x-3y+6z=11` makes an angle `sin^(-1) (alpha)` with the `x-axis`, then the value of `alpha` is

If the lines px^2-qxy-y^2=0 makes the angles alpha and beta with X-axis , then the value of tan(alpha+beta) is

If vector vec b=(t a nalpha,-1, 2sqrt(sinalpha//2))a n d vec c=(t a nalpha, t a nalpha, -3/(sqrt(sinalpha//2))) are orthogonal and vector vec a=(1,3,sin2alpha) makes an obtuse angle with the z-axis, then the value of alpha is

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

Show that the focal chord, of parabola y^2 = 4ax , that makes an angle alpha with the x-axis is of length 4a cosec^2 alpha .

Let L be the line of intersection of the planes 2x""+""3y""+""z""=""1 and x""+""3y""+""2z""=""2 . If L makes an angles alpha with the positive x-axis, then cos alpha equals a. 1/(sqrt(3)) b. 1/2 c. 1 d. 1/(sqrt(2))

Let L be the line of intersection of the planes 2x""+""3y""+""z""=""1 and x""+""3y""+""2z""=""2 . If L makes an angles alpha with the positive x-axis, then cos alpha equals 1/(sqrt(3)) 1/2 1 1/(sqrt(2))

A line makes an angle theta with the x-axis and the y-axis. If it makes an angle alpha with the z - axis such that sin^(2)alpha= 3sin^(2)theta , then cos ^(2)theta is equal to

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

If alpha is an acute angle and sin(alpha/2)=sqrt((x-1)/(2x)) then tan alpha is

A line makes an angle (pi)/(4) with each y-axis and z-axis. The angle that it makes with the x - axis is