Q. 31

# Mark against the correct answer in each of the following:

The angle between the line and the plane is

A.

B.

C.

D.

Answer :

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 b_{1}:b_{2}:b_{3} and a plane with direction ratio of normal n_{1}:n_{2}:n_{3}, 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

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