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Question
If A(4, 2), B(6, 5) and C(1, 4) be the vertices of ΔABC and AD is a median then the coordinates of D are ______.
Options
`(5/2, 3)`
`(5, 7/2)`
`(7/2, 9/2)`
none of these
MCQ
Fill in the Blanks
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Solution
If A(4, 2), B(6, 5) and C(1, 4) be the vertices of ΔABC and AD is a median then the coordinates of D are `underlinebb((7/2, 9/2)`.
Explanation:
AD is a median, so D is the midpoint of BC.
Midpoint of B(6, 5) and C(1, 4) is `((6 + 1)/2, (5 + 4)/2)`
= `(7/2, 9/2)`
= (3.5, 4.5)
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