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JEE Main2007MathematicsThree Dimensional GeometryActual

Let L be the line of intersection of the planes 2 x+3 y+z=1 and x+3 y+2 z=2 . If L makes an angles with the positive x -axis, then equals

Options

A1 3
B1 2
C1
D1 2

Correct answer

A. 1 3

Step-by-step solution

If direction cosines of L be l , m, n , then aligned & 2 l+3 m+n=0 & l+3 m+2 n=0 aligned Solving, we get, l 3 = m -3 = n 3 l: m: n= 1 3 :- 1 3 : 1 3 = 1 3 .

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