7.3 - Section Formula
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Practice Questions
Test your understanding with targeted questions
Find the coordinates of the point that divides the segment joining A(0, 0) and B(4, 4) in the ratio 1:3.
💡 Hint: Use the Section Formula with m=1, n=3.
Determine the midpoint of the segment joining (2, 3) and (4, 7).
💡 Hint: Midpoint is found by using 1:1 ratio.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What formula is used to find the coordinates of a point dividing a segment in a ratio?
💡 Hint: Think about how coordinates relate to segment division.
If a point divides a segment in the ratio 2:1, which point would be closer to the endpoint of the larger portion?
💡 Hint: Visualize the line and where the point lies.
1 more question available
Challenge Problems
Push your limits with advanced challenges
A point P divides the segment joining A(2, -5) and B(6, 3) externally in the ratio 2:3. What are the coordinates of P?
💡 Hint: Remember that external division alters the sign in the distance part of the section formula.
Find the coordinates of points that trisect the line segment from (1, 1) to (9, 9).
💡 Hint: Divide the segment into three equal lengths using section formula for each part.
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