Let the values of p, for which the shortest distance between the lines x+1 3 = y 4 = z 5 and r = (p i + 2 j +...

Question

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

Accepted Answer

(4)

JEE Main 2025 Mathematics question

Solution