Q. 365.0( 2 Votes )

# The plane 2x – 3y + 6z – 11 = 0 makes an angle sin^{–1}(α) with x-axis. The valueof α is equal to

A.

B.

C.

D.

Answer :

Given equation of plane is 2x – 3y + 6z = 11

Normal to this plane is,

Also,

x-axis has direction vector

Also, we know the angle ϕ between the line with direction vector b and the plane with normal vector n is

On comparison,

Rate this question :

If lines and intersect, then find the value of k and hence find the equation of the plane containing these lines.

Mathematics - Board PapersFind the coordinates of the point where the line through the points A(3, 4, 1) and B(5, 1, 6) crosses the XZ plane. Also find the angle which this line makes with the XZ plane.

Mathematics - Board PapersState True or False for the statements

The angle between the lineand the plane is .

Mathematics - ExemplarThe sine of the angle between the straight lineand the plane 2x – 2y + z = 5 is

Mathematics - ExemplarThe plane 2x – 3y + 6z – 11 = 0 makes an angle sin^{–1}(α) with x-axis. The valueof α is equal to

Mark against the correct answer in each of the following:

The angle between the line and the plane 2x – 3y + z = 5 is

RS Aggarwal - Mathematics

Mark against the correct answer in each of the following:

The angle between the line and the plane is

RS Aggarwal - Mathematics