Direction TestPYQ Dec 22Question 2263 of 165
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Radha moves towards South – East a distance of 7 km, then she moves towards West and travels a distance of 14 km. From here she moves towards North – West a distance of 7 km. and finally she moves a distance of 4 km. towards East. How far is she now from the starting point?

Options

A3 km
B4 km
C10 km
D11 km
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Correct Answer

✅ Option c — 10 km

All Options:

  • A3 km
  • B4 km
  • C10 km
  • D11 km

Detailed Solution & Explanation

Start at O(0,0)\displaystyle O(0, 0).
1. South-East 7\displaystyle 7 km →(72,−72)\displaystyle \rightarrow (\frac{7}{\sqrt{2}}, -\frac{7}{\sqrt{2}}).
2. West 14\displaystyle 14 km →(72−14,−72)\displaystyle \rightarrow (\frac{7}{\sqrt{2}} - 14, -\frac{7}{\sqrt{2}}).
3. North-West 7\displaystyle 7 km →(−14,0)\displaystyle \rightarrow (-14, 0).
4. East 4\displaystyle 4 km →(−10,0)\displaystyle \rightarrow (-10, 0).
Distance from origin is 10\displaystyle 10 km.
*Discrepancy*: The key lists Option B (4\displaystyle 4 km), but the correct distance is 10\displaystyle 10 km (Option C).
Hence, **Option C** is the correct answer.

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