Mark against the correct answer in each of the following:

The angle between the line and the plane is

Given: Equation of line is

Equation of plane is

_{To find: angle between line and plane}

Formula Used: If θ is the angle between a line with direction ratio b₁:b₂:b₃ and a plane with direction ratio of normal n₁:n₂:n₃, then

Explanation:

Here direction ratio of the line is 2 : 2 : 1

Direction ratio of normal to the plane is 6 : -3 : 2

Therefore,

Therefore, angle between the line and plane is