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Three Dimensional Geometry

Section: Mathematics
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Question : 5 of 35
 
Marks: +1, -0
Let ℓ1 and ℓ2 be the lines
→
r
1=λ(
^
i
+
^
j
+
^
k
) and
→
r
2=(
^
j
−
^
k
)+µ(
^
i
+
^
k
), respectively, Let X be the set of all the planes H that contain the line ℓ. For a plane H, let d(H) denote the smallest possible distance between the points of ℓ2 and H. Let H0 be a plane in X for which d(H0) is the maximum value of d(H) as H varies over all planes in x.
Match each entry in List-I to the correct entries in List-II.
List-I List-II
(P) The value of d(H0) is (1) √3
(Q) The distance of the point (0,1,2) from H0 is (2) ‌
1
√3
(R) The distance of origin from H0 is (3) 0
(S) The distance of origin from the point of intersection of planes y=z,x=1 and H0 is (4) ‌√2
(5)
1
√2
The correct option is
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