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Find a Point that Partitions a Segment in a Given Ratio a:b

Learn how to find the coordinates of a point that partitions a segment in a given ratio using examples and step-by-step solutions. Explore different scenarios and enhance your understanding of segment partitioning in coordinate geometry.

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Find a Point that Partitions a Segment in a Given Ratio a:b

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  1. Find a Point that Partitions a Segment in a Given Ratio a:b

  2. Example 1: Find the coordinates of point P along the directed line segment AB so that AP to PB is the given ratio. A(1, 3), B(8, 4); 4 to 1.

  3. Example 2: Find the coordinates of point P along the directed line segment AB so that AP to PB is the given ratio. A(-2, 1), B(4, 5); 3 to 7.

  4. Example 3: Find the coordinates of point P along the directed line segment AB so that AP to PB is the given ratio. A(8, 0), B(3, -2); 1 to 4.

  5. Example 4: Find the coordinates of point P along the directed line segment AB so that AP to PB is the given ratio. A(-2, -4), B(6, 1); 3 to 2.

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