Q41Multiple choice
One vertex of the equilateral triangle with centroid at the origin and one side as x + y – 2 = 0 is
- (A)(–1, –1)
- (B)(2, 2)
- (C)(–2, –2)
- (D)(2, –2) [Hint: Let ABC be the equilateral triangle with vertex A (h, k) and let D (α, β) 2α + h 2β + k be the point on BC. Then = 0= . Also α + β – 2 = 0 and 3 3 k −0 × ( − 1) = − 1 ]. h−0 Fill in the blank in Exercises 42 to 47.