If P(2, \beta, \alpha) lies on the plane x+2 y-z-2=0 and Q(\alpha,-1, \beta) lies on the plane 2 x-y+3 z+6=0 then the direction cosines of the line {\PQ} are [AP EAPCET 21 May 2024 Shift 1]

Correct Answer is : (−4√17,0,1√17)

(- {4}/{\sqrt{17}}, 0, {1}/{\sqrt{17}})

(+ {4}/{\sqrt{17}}, 0, {1}/{\sqrt{17}})

( {1}/{\sqrt{17}}, 0, {4}/{\sqrt{17}})

(- {1}/{\sqrt{17}}, 0, {4}/{\sqrt{17}})

Three Dimensional Geometry

Section: Mathematics

Question : 40 of 58

Marks: +1, -0

If P(2,β,α) lies on the plane x+2y−z−2=0 and Q(α,−1,β) lies on the plane 2x−y+3z+6=0 then the direction cosines of the line PQ are

[AP EAPCET 21 May 2024 Shift 1]

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