Multiple choice question I — task. Mathematics State Board, Class 9.

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1. The coordinates of the point \(C\) dividing the line segment joining the points \(P(2, 4)\) and \(Q(5, 7)\) internally in the ratio \(2:1\) is:

\((3, 5)\)
\((4, 4)\)
\((4, 6)\)
$(\frac{7}{2}, \frac{11}{2})$

2. In what ratio does the point \(Q(1, 6)\) divide the line segment joining the points \(P(2, 7)\) and \(R(-2, 3)\)?

\(1:3\)
\(3:1\)
\(1:2\)
\(2:1\)

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