Q.

The equation of the base of an equilateral triangle is x+y=2  and the vertex is (2,−1) . The area of the triangle is :

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a

23

b

3/6

c

1/3

d

2/3

answer is B.

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Detailed Solution

The altitude h is    |2−1−2|2=12 ΔABC,      BC=2hcot600=23∴      Area of Δ=h2BC                              =12223=36
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The equation of the base of an equilateral triangle is x+y=2  and the vertex is (2,−1) . The area of the triangle is :