The distance between A(2,+1) and B(−4,3) is:
- 2√10 cm
- √5 cm
- 2√5 cm
- 3 cm
Show answer and explanation
Answer: A. 2√10 cm
√(36 + 4) = √40 = 2√10.
Matric General Mathematics: Coordinate Geometry, questions with answers
Practise 17 real Federal Board questions on Coordinate Geometry from 2023 to 2026. See the answer and explanation as soon as you answer.
17real questions
8multiple choice
5exam sessions
About Coordinate Geometry in Matric General Mathematics
Coordinate Geometry is one of the 9 main chapters in our Federal Board Matric General Mathematics question bank (10th class), and about 5% of its real questions come from it. Tayyari Karo has 17 real questions on this chapter from 2023 to 2026; 8 are multiple choice and marked instantly, and the rest are short and long questions with a model answer. By difficulty: 9 medium, 7 easy, 1 hard.
Work through the questions below, then open the explanation for each one. Redo the ones you missed a few days later.
Try 8 real questions
These are real past-paper questions. Think of your answer first, then open the explanation.
Points which do not lie on the same straight line are called:
- Opposite points
- Equal points
- Collinear points
- Non-collinear points
Show answer and explanation
Answer: D. Non-collinear points
Points not on one line are non-collinear.
d = √[(x₂ − x₁)² + (y₂ − y₁)²] is called:
- Distance formula
- Area Formula
- Formula of a plane
- Formula of Co-ordinates
Show answer and explanation
Answer: A. Distance formula
This is the distance formula.
The distance between A(2,+1) and B(−4,3) is:
- 2√10
- √5
- 2√5
- 3
Show answer and explanation
Answer: A. 2√10
√[(−6)² + 2²] = √40 = 2√10.
For what value of x, distance between the points A(4,x) and B(1,0) is 5?
- 0
- ±4
- ±3
- ±5
Show answer and explanation
Answer: B. ±4
√(9 + x²) = 5 ⇒ x² = 16 ⇒ x = ±4.
The co-ordinates of the origin are:
- 0
- (1,0)
- (0,0)
- (0,1)
Show answer and explanation
Answer: C. (0,0)
The origin is (0,0).
Find the distance between given points: A(−1,3), B(−2,−1)
Show model answer
d = √[(−2 + 1)² + (−1 − 3)²] = √(1 + 16) = √17.
Show that the points A(1,4), B(5,6) and C(9,8) are collinear.
Show model answer
Slope AB = (6 − 4)/(5 − 1) = 1/2; slope BC = (8 − 6)/(9 − 5) = 1/2.
Equal slopes with the common point B, so the points are collinear.
Sessions with Coordinate Geometry questions
| Session | Questions |
|---|---|
| 2026 Annual | 3 |
| 2025 1st Annual | 4 |
| 2025 2nd Annual | 3 |
| 2024 Annual | 4 |
| 2023 Annual | 3 |
Common questions
What does the Coordinate Geometry chapter cover on this page?
17 real Federal Board (FBISE) General Mathematics questions on Coordinate Geometry from 2023 to 2026, for 10th class. Each one shows the session it came from.
Are the answers official?
No. We could not find an official FBISE marking scheme for these papers, so the answers and explanations are written by Tayyari Karo for practice. Check anything important with your teacher or textbook.
Is it free?
You can start free with no signup. A small set of papers per subject is free, and Premium unlocks the full question bank.