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Find the areas of the triangles the coor...

Find the areas of the triangles the coordinates of whose angular points are respectively.
`{am_(1),(a)/(m_(1))},{am_(2),(a)/(m_(2))}and{am_(3),(a)/(m_(3))}`

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Knowledge Check

  • Area of triangle having angular points A[am_1m_2, (m_1+m_2) ], B[am_2m_3, a(m_2+m_3) and C[am_3m_1. a(m_3+ m_1) ] is

    A
    ` (m_1-m_2) (m_2-m_3) (m_3-m_1) `
    B
    ` a^(2) (m_1-m_2) (m_2-m_3) (m_3-m_1)`
    C
    ` (1)/(2) a^(2) (m_1-m_2) (m_2-m_3) (m_3-m_1) `
    D
    none of these