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If point $(1, 2)$ divides the line segment joining the points $(3, 5)$ and $(2p, q)$ in the ratio $1 : 1$, then $(p, q)$ is equal to :
- (a)$(-\frac{1}{2}, -1)$
- (b)$(-\frac{1}{2}, -\frac{1}{2})$
- (c)$(-1, -1)$
- (d)$(-1, -\frac{1}{2})$
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(A) $(-\frac{1}{2}, -1)$