6 Let  1 and  2 be the lines ) k ˆ j ˆ i ˆ ( r 1      and ) k ˆ i ˆ ( ) k ˆ j ˆ ( r 2       , 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 b

Question

6 Let  1 and  2 be the lines ) k ˆ j ˆ i ˆ ( r 1      and ) k ˆ i ˆ ( ) k ˆ j ˆ ( r 2       , 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 List - II (P) The value of d(H 0 ) is (1) 3 (Q) The distance of the point (0, 1, 2) from H 0 is (2) 3 1 (R) The distance of origin from H 0 is (3) 0 (S) The distance of origin from the point of intersection of planes y = z, x = 1 and H 0 is (4) 2 (5) 2 1 The correct option is:

Accepted Answer

(P)   ( 5 ) ; (Q)   ( 4 ) ; (R)   ( 3 ) ; (S)   ( 1 )

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