The direction cosines of the projection of the line x -2 = y-1 1 = z+1 -1 on the plane 2x+y-3z=5 are

JEE Advanced Mathematics question

The direction cosines of the projection of the line on the plane are

(A)
(B)
(C)Correct
(D)Correct

Answer: (C),(D)

Solution

Quick way: the line's direction is and the plane's normal is . Since , the line is parallel to the plane, so its projection is parallel to the line itself. The direction ratios are or equivalently , and the direction cosines are

See the full step-by-step solution

Create a free account to read the complete working (3 steps), and practise questions like this in a timed test.

Create a free account

Question ID VK-109884