Question Paper
Class / Subject: Class 10 (SSC) · Mathematics - Geometry (भूमिती)
Chapter: Chapter 5 — Chapter 5: Co-ordinate Geometry
Time Allowed: 32 minutes
Max Marks: 16
1. What does the Cartesian system use? [1]
(A) Two perpendicular axes (x and y)
(B) Only one axis
(C) Three axes always
(D) No axes needed
2. What does the distance formula calculate? [1]
(A) Distance between two points
(B) The midpoint only
(C) The slope only
(D) The area only
3. What theorem is the distance formula derived from? [1]
(A) The Pythagorean theorem
(B) Thales' theorem
(C) Euclid's theorem
(D) Newton's laws
4. What does the midpoint formula calculate? [1]
(A) The exact middle point between two coordinates
(B) The distance between points
(C) The slope of a line
(D) The area of a shape
5. What is the midpoint formula? [1]
(A) ((x₁+x₂)/2, (y₁+y₂)/2)
(B) (x₁+x₂, y₁+y₂)
(C) (x₁-x₂, y₁-y₂)
(D) (x₁×x₂, y₁×y₂)
6. What is the distance between (0,0) and (3,4)? [1]
(A) 5
(B) 7
(C) 3
(D) 4
7. What does coordinate geometry connect? [1]
(A) Algebra and geometry
(B) Only algebra
(C) Only geometry
(D) Neither subject
8. Why learn coordinate geometry? [1]
(A) To solve geometric problems algebraically
(B) No reason
(C) It's not useful
(D) Only for tests
9. What does the Cartesian system use? [1]
(A) Two perpendicular axes (x and y)
(B) Only one axis
(C) Three axes always
(D) No axes needed
10. What does the distance formula calculate? [1]
(A) Distance between two points
(B) The midpoint only
(C) The slope only
(D) The area only
11. What theorem is the distance formula derived from? [1]
(A) The Pythagorean theorem
(B) Thales' theorem
(C) Euclid's theorem
(D) Newton's laws
12. What does the midpoint formula calculate? [1]
(A) The exact middle point between two coordinates
(B) The distance between points
(C) The slope of a line
(D) The area of a shape
13. What is the midpoint formula? [1]
(A) ((x₁+x₂)/2, (y₁+y₂)/2)
(B) (x₁+x₂, y₁+y₂)
(C) (x₁-x₂, y₁-y₂)
(D) (x₁×x₂, y₁×y₂)
14. What is the distance between (0,0) and (3,4)? [1]
(A) 5
(B) 7
(C) 3
(D) 4
15. What does coordinate geometry connect? [1]
(A) Algebra and geometry
(B) Only algebra
(C) Only geometry
(D) Neither subject
16. Why learn coordinate geometry? [1]
(A) To solve geometric problems algebraically
(B) No reason
(C) It's not useful
(D) Only for tests