Question Details

Priya starts from point A and drives 9 km towards North. She then takes a right turn, drives 4 km to reach point B. She then turns right, drives 10 km and stops at point C. In which direction is point C with respect to point A?

Options

A

North-west

B

North-east

C

South-east

D

South

Show Answer

Correct Answer :

Option C

South-east

Solution :

The correct answer is South-east.

Let us break down Priya's journey step-by-step to find the relative position of point C with respect to point A:
1. Starting Point: Priya starts at point A.
2. First leg (North): She drives 9 km towards the North. Let us call this temporary position point D. Point D is 9 km North of A.
3. Second leg (Right turn to B): From point D, she turns right (facing East) and drives 4 km to reach point B. Thus, point B is 9 km North and 4 km East of point A.
4. Third leg (Right turn to C): From point B, she turns right again (facing South) and drives 10 km to stop at point C.

Now, let us calculate the final position of point C relative to point A:
- East-West (Horizontal) displacement: Point C remains 4 km to the East of point A.
- North-South (Vertical) displacement: Priya went 9 km North and then 10 km South. The net displacement is 10 km - 9 km = 1 km to the South of point A.

Since point C is 1 km South and 4 km East of point A, point C is in the South-east direction with respect to point A.

Unlock Our Free Library

Access expert-curated educational resources and study materials—completely free.

Discover more resources

You may also like

Mock Tests

View All
  • SSC
  • intermediate
  • 1 hour
  • english, general awareness, general intelligence and reasoning, logical reasoning, quant

  • SSC
  • intermediate
  • 1 hour
  • english, general awareness, general intelligence and reasoning, logical reasoning, quant

Ask AI Tutor
5 left
Q1 View Question & Options
AI Tutor is solving this question...
Reading question context & options...