Let 0<z<y<x be three real numbers such that 1 x , 1 y , 1 z are in an arithmetic progression and x, 2y, z are in a geometric progression. If xy+yz+zx= 3 2 xyz, then 3(x+z)^2 is equal to __________.

JEE Main 2023 Mathematics question

Let be three real numbers such that are in an arithmetic progression and x, , z are in a geometric progression. If xy+yz+zx=\frac{3}{\sqrt2}xyz, then is equal to .

Answer: 150

Solution

Question ID VK-035633