If an equilateral triangle, having centroid at the origin, has a side along the line, x + y = 2, then the area (in sq. units) of thistriangle is : Option 1) Option 2) 6 Option 3) Option 4)

As learnt in

Perpendicular distance of a point from a line -

- wherein

P  is the distance from the line .

Area =

=

Option 1)

This option is incorrect.

Option 2)

6

This option is incorrect.

Option 3)

This option is correct.

Option 4)

This option is incorrect.