Assertion (A): If a person moves 10 km north, then 5 km east, the total distance travelled is 15 km. Reason (R): The shortest dis…

Question

Assertion (A): If a person moves 10 km north, then 5 km east, the total distance travelled is 15 km.

Reason (R): The shortest distance between the starting and ending point is given by the Pythagorean theorem.

1. A. Both A and R are true, and R correctly explains A.
2. B. Both A and R are true, but R does not explain A. (Correct answer)
3. C. A is true, but R is false.
4. D. A is false, but R is true.

Correct Answer

Option B — Both A and R are true, but R does not explain A.

Detailed Solution & Explanation

The correct answer is Both A and R are true, but R does not explain A..

Key Points

• A is true - total distance travelled = 10+5 = 15 km.
• R is also true - displacement = sqrt(10^2+5^2) = sqrt(125).
• However, R explains the displacement (shortest path), NOT the total distance (15 km). So R does not explain A.