Let L1 : x-1 3 = y-1 -1 = z+1 0 and L2 : x-2 2 = y 0 = z+4 , α ∈R, be two lines, which intersect at the point...

Question

Let L1 : x-1 3 = y-1 -1 = z+1 0 and L2 : x-2 2 = y 0 = z+4 , α ∈R, be two lines, which intersect at the point B. If P is the foot of perpendicular from the point A(1, 1, –1) on L2, then the value of 26 α(PB)² is ____.

Accepted Answer

216

JEE Main 2025 Mathematics question

Solution