JEE Main 2021 (Online) 26th February Morning ShiftQuestion 1
The intersection of three lines $x-y=0$, $x+2y=3$ and $2x+y=6$ is a :
Points and Straight Lines
Solution
Vertices: $x-y=0\cap x+2y=3:(1,1)$; $x-y=0\cap 2x+y=6:(2,2)$; $x+2y=3\cap2x+y=6:(3,0)$. Sides: $\sqrt2,\ \sqrt5,\ \sqrt5$. Two equal sides, and $2+5\ne5$ so not right angled. Isosceles. Option (B).