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JEE Advanced 2024 Paper 1

Section: Mathematics
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Question : 12 of 51
 
Marks: +1, -0
Let
→
OP
=‌
α−1
α
^
i
+
^
j
+
^
k
,
→
OQ
=
^
i
+‌
β−1
β
^
j
+
^
k
 and
→
OR
=
^
i
+
^
j
+‌
1
2
^
k
 be three vectors, where α,β∈ℝ−{0} and O denotes the origin. If (OP×
→
OQ
)⋅
→
OR
=0 and the point (α,β,2) lies on the plane 3x+3y−z+l=0 , then the value of l is ______.
[JEE Adv 2024 P1]
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