QJEEM21Maadbc: JEE Main 2021 Mathematics - Class 11 JEEM21Maadbc Solution: The intersection of three lines x y = 0, x + 2y = 3 and 2x + y…

The given three lines are x $-$ y = 0, x + 2y = 3 and 2x + y = 6 then point of intersection,

lines x $-$ y = 0 and x + 2y = 3 is (1, 1)

lines x $-$ y = 0 and 2x + y = 6 is (2, 2)

and lines x + 2y = 3 and 2x + y = 0 is (3, 0)

The triangle ABC has vertices A(1, 1), B(2, 2) and C(3, 0)

$\therefore$ AB = $\sqrt 2$ , BC = $\sqrt 5$ and AC = $\sqrt 5$

$\therefore$ $\Delta$ ABC is isosceles