The angle between the line x = y and x-axis in negative direction
(A) 105
(B) 120°
(C) 135
(D) 150°
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Dear ,
The answer is option C ) 135
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We know that cos
2
α+cos
2
β+cos
2
γ=1,
i.e., sum of the squares of the direcction cosines is unity,
Where α,β,γ are the angles made by a line with positive direction of the axes,
⟹
4
1
+cos
2
β+
4
1
=1
⟹cos
2
β=
2
1
cosβ=
2
1
or −
2
1
⟹β=45
0
or135
0
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