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Question

The equation to the base of an equilateral triangle is (3+1)x+(31)y+23=0 and the opposite vertex is A(1,1), then the area of the triangle (in sq. units) is

A
32
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B
33
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C
23
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D
43
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Solution

The correct option is B 23

d=∣ ∣434+23+423∣ ∣=232


From figure,

acos30=d

a=32×2×23=22

Area of equilateral Δ=12a×d

=12×22×2×32

=23


59358_34071_ans.jpg

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