Practice Section Formula (7.3) - COORDINATE GEOMETRY

Practise this section

9 questions

Flashcard drill
3 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
Find the coordinates of the point that divides the segment joining A(0, 0) and B(4, 4) in the ratio 1:3.
Show hintHide hint
Use the Section Formula with m=1, n=3.
Question 2.
Determine the midpoint of the segment joining (2, 3) and (4, 7).
Show hintHide hint
Midpoint is found by using 1:1 ratio.
3Question 3.
What formula is used to find the coordinates of a point dividing a segment in a ratio?
Show hintHide hint
Think about how coordinates relate to segment division.
4Question 4.
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
Show hintHide hint
Visualize the line and where the point lies.
Question 5.
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?
Show hintHide hint
Remember that external division alters the sign in the distance part of the section formula.
Question 6.
Find the coordinates of points that trisect the line segment from (1, 1) to (9, 9).
Show hintHide hint
Divide the segment into three equal lengths using section formula for each part.

5 more questions in this section. Enroll free to practise them all.