Worksheets › Class 10 › Coordinate Geometry
Class 10 Coordinate Geometry worksheet
CBSE Mathematics. Distance, section and midpoint formulas. Every sheet has 20 questions in three sections and an answer key, and the numbers change every time.
Sample questions
Real questions from this chapter, as the app sets them. Tap Answer to see the answer and working.
Section A · multiple choice
- 1.
The distance between (−5, 2) and (2, 26) is:
- 25 units
- 26 units
- 625 units
- 31 units
Answer
(a) 25 units
√(49 + 576) = √625 = 25
- 2.
The distance of (12, 16) from the origin is:
- 20 units
- 28 units
- 400 units
- 4 units
Answer
(a) 20 units
√(144 + 256) = 20
- 3.
The midpoint of (−1, −8) and (5, −18) is:
- (4, −26)
- (−13, 2)
- (6, −10)
- (2, −13)
Answer
(d) (2, −13)
((−1 + 5)/2, (−8 + (−18))/2)
Section B · short answer
- 4.
Find the distance between (4, 8) and (12, 23).
Answer
17 units
√((12 − 4)² + (23 − 8)²) = √289 = 17
- 5.
Find the point that divides the join of (8, −8) and (15, −22) internally in the ratio 3 : 4.
Answer
(11, −14)
((3 × 15 + 4 × 8)/7, (3 × (−22) + 4 × (−8))/7)
Section C · long answer
- 6.
On a map with 1 unit = 1 km, Lakhanpur is at (−4, 6) and Devgarh is at (−16, 22). How far apart are they?
Answer
20 km
√(144 + 256) = 20
Fresh sheets for your child
In the app, every Coordinate Geometry sheet is new: the app remembers the questions your child has already had and leaves them out. Print the sheet as a PDF, or use notebook mode and write the answers in a notebook.
Coming soon for Android and iPhone.