state gov OSSSC RI, ARI, AMIN, SFS, ICDS Supervisor Combined Mock Test 2023-25 Quantitative Aptitude Mensuration Plane Figures
What is the area of the triangle having side lengths \(\frac{y}{z} + \frac{z}{x},\frac{z}{x} + \frac{x}{y},\frac{x}{y} + \frac{y}{z}?\)
1
\(\frac{{{{\left( {x + y + z} \right)}^2}}}{{xyz}}\)
2
\(\frac{{\sqrt {xyz} }}{{x + y + z}}\)
3
\(\sqrt {\frac{x}{y} + \frac{y}{z} + \frac{z}{x}} \)
4
\(\sqrt {\frac{{xy + yz + zx}}{{xyz}}} \)