Direction TestPYQ Dec 21Question 2289 of 165
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R's office is 4 km in East direction from his home and club is 4 km in North direction from his home. On midway from office to club, R starts moving towards his home. In which direction is he facing his back?

Options

ASouth - East
BNorth - West
CNorth - East
DSouth - West
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Correct Answer

✅ Option b — North - West

All Options:

  • ASouth - East
  • BNorth - West
  • CNorth - East
  • DSouth - West

Detailed Solution & Explanation

Let Home be at the origin (0,0)\displaystyle (0,0).
Office is 4 km East   ⟹  (4,0)\displaystyle \implies (4, 0) and Club is 4 km North   ⟹  (0,4)\displaystyle \implies (0, 4).
The midway point between Office and Club is:
Midway Point=(4+02,0+42)=(2,2)\text{Midway Point} = \left(\frac{4+0}{2}, \frac{0+4}{2}\right) = (2, 2)
Starting from (2,2)\displaystyle (2, 2), R moves towards Home (0,0)\displaystyle (0, 0).
The vector from (2,2)\displaystyle (2, 2) to (0,0)\displaystyle (0, 0) is (−2,−2)\displaystyle (-2, -2), which points in the South-West direction.
Since he is facing South-West, his back is facing the exact opposite direction:
Back Direction=North-West\text{Back Direction} = \text{North-West}
Hence, **Option B** is the correct answer.

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