If the points A(2, 3), B(-5, 6), C(6, 7) and D(p, 4) are the vertices
Coordinate Geometry (10)If the points A(2, 3), B(-5, 6), C(6, 7) and D(p, 4) are the vertices of a parallelogram ABCD, find the value of p.
Answer
Mid point of AC = Mid point of BD
$$ \therefore \left(\frac{2 + 6}{2}, \frac{3 + 7}{2}\right) = \left(\frac{-5 + p}{2}, \frac{6 + 4}{2}\right) $$
$$ \frac{-5 + p}{2} = 4 \Rightarrow p = 13 $$
Exam Year:
2023
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