Let _1 and _2 be the lines r _1 = ( i + j + k ) and r _2 = ( j - k ) + ( i + k ), respectively. Let X be the...

Question

Let _1 and _2 be the lines r _1 = ( i + j + k ) and r _2 = ( j - k ) + ( i + k ), respectively. Let X be the set of all the planes H that contain the line _1. For a plane H, let d(H) denote the smallest possible distance between the points of _2 and H. Let H_0 be a plane in X for which d(H_0) 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 (P) The value of d(H_0) is (Q) The distance of the point (0, 1, 2) from H_0 is (R) The distance of origin from H_0 is (S) The distance of origin from the point of intersection of planes y = z, x = 1 and H_0 is List-II (1) 3 (2) 1 3 (3) 0 (4) 2 (5) 1 2 The correct option is:

Accepted Answer

(B)

JEE Advanced 2023 Mathematics question

Solution

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