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Find the coordinates of the mid-point of the line segment joining the following points: $C (0, c)$ and $D (0, d)$ .

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(3, \frac{c + d}{2})

(2, \frac{c + d}{2})

(1, \frac{c + d}{2})

(0, \frac{c + d}{2})

answer is D.

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Detailed Solution

Given points are

C (0, c)

and

D (0, d)

.
Let A, B, C be three points lying on the same line. If the coordinates of A are

A (m, n)

and those of B are

B (o, p)

, the the coordinates of the mid-point C (of the segment AB) are

(\frac{m + o}{2}, \frac{n + p}{2})

.
So, using this formula, the midpoint of

C (0, c)

And

D (0, d)

are,

Midpoint = (\frac{0 + 0}{2}, \frac{c + d}{2})

\Rightarrow Midpoint = (0, \frac{c + d}{2})

Therefore, option (4) is correct.

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