Q. 305.0( 1 Vote )

Mark against the correct answer in each of the following:

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

A.

B.

C.

D.

Answer :

Given: Equation of line is


Equation of the plane is 2x – 3y + z = 5


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 1 : -2 : -3


Direction ratio of normal to the plane is 2 : -3 : 1


Therefore,





Therefore, angle between the line and plane is

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