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

Statement -I : A line makes the same angle theta with each of the x and z-axis. If it makes an angle alpha with the y-axis, such that sin^(2) alpha=3 sin^(2) theta , then cos^(2) theta=3/5 . Statement -II : If a line with direction ratios, l, m, n makes angles alpha, beta, gamma respectively with x, y amd z-axis then cos alpha=(l)/sqrt(l^(2)+m^(2)+n^(2)), cos beta =(m)/sqrt(l^(2)+m^(2)+n^(2)) and cos gamma =(n)/sqrt(l^(2)+m^(2)+n^(2)) .

A line makes the same angle theta with each of the X - axis and Z - axis.It makes beta angle with Y -axis such that sin^(2) beta=3sin^(2) theta then cos^(2) theta=

A line makes the same angle theta , with each of the x and axis. If the angle beta , which it makes with y-axis, is such that sin^(2)beta=3sin^(2)theta , then cos^(2)theta equals:

A line makes an angle theta both with x-axis and y-axis. A possible range of theta is

A line makes an angle theta both with x-axis and y-axis. A possible range of theta is

A line makes an angle theta both with x-axis and y-axis. A possible range of theta is