The intersection of three lines


The intersection of three lines $x-y=0, x+2 y=3$ and $2 x+y=6$ is a

  1. Right angled triangle

  2. Equilateral triangle

  3. Isosceles triangle

  4. None of the above

Correct Option: , 3


$L_{1}: x-y=0$

$L_{2}: x+2 y=3$

$\mathrm{L}_{3}: \mathrm{x}+\mathrm{y}=6$

on solving $\mathrm{L}_{1}$ and $\mathrm{L}_{2}$ :

$\mathrm{y}=\mathrm{L}$ and $\mathrm{x}=1$

$\mathrm{L}_{1}$ and $\mathrm{L}_{3}$ :



$\mathrm{L}_{2}$ and $\mathrm{L}_{3}:$


$2 x+y=6$






so its an isosceles triangle

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