Let the values of p, for which the shortest distance between the lines x 1 3  = y 4 = z 5 and ˆ ˆ ˆ ˆ ˆ ˆ r (pi 2 j k) (2i 3j 4k)         is 1 6 , be a, b, (a

Question

Let the values of p, for which the shortest distance between the lines x 1 3  = y 4 = z 5 and ˆ ˆ ˆ ˆ ˆ ˆ r (pi 2 j k) (2i 3j 4k)         is 1 6 , be a, b, (a < b). Then the length of the latus rectum of the ellipse 2 2 x a + 2 2 y b = 1 is :

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2 3

Let the values of p, for which the shortest distance between the lines x 1 3  = y 4 = z 5 and ˆ ˆ ˆ ˆ ˆ ˆ r (pi 2 j k) (2i 3j 4k)         is 1 6 , be a, b, (a < b). Then the length of the latus rectum of the ellipse 2 2 x a + 2 2 y b = 1 is :

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