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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
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.
Question 2
Easy
Determine the midpoint of the segment joining (2, 3) and (4, 7).
💡 Hint: Midpoint is found by using 1:1 ratio.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
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.
Question 2
If a point divides a segment in the ratio 2:1, which point would be closer to the endpoint of the larger portion?
- The first endpoint
- The second endpoint
- Neither
💡 Hint: Visualize the line and where the point lies.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
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.
Challenge and get performance evaluation