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 ______.

पर्याय

• `(5/2, 3)`

• `(5, 7/2)`

• `(7/2, 9/2)`

• none of these

Answer 1

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)