Mathematics
ABCD is a parallelogram where A(x, y), B(5, 8), C(4, 7) and D(2, -4). Find
(i) the coordinates of A.
(ii) the equation of the diagonal BD.
Straight Line Eq
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Answer
(i) Let O be the point of intersection of the diagonals.
So, O will be the mid-point of the diagonals so also the mid-point of BD.
By mid-point formula coordinates of O are,
Since, O is also the mid-point of AC so,
Hence, the coordinates of A are (3, -3).
(ii) Equation of diagonal BD can be given by two point formula,
Putting values in above equation,
Hence, the equation of the diagonal BD is 4x - y - 12 = 0.
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