Direction TestMTP Dec 23 Series IIQuestion 2277 of 165
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Point P is 10 m east of point Q. Point R is 4 m north of point P. Point T is 3 m west of point S and point S is 5 m south of point Q. What is the direction of point R with respect to point T?

Options

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

✅ Option c — North-East

All Options:

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

Detailed Solution & Explanation

Let Q=(0,0)\displaystyle Q = (0, 0).
1. P is 10\displaystyle 10 m East of Q →P(10,0)\displaystyle \rightarrow P(10, 0).
2. R is 4\displaystyle 4 m North of P →R(10,4)\displaystyle \rightarrow R(10, 4).
3. S is 5\displaystyle 5 m South of Q →S(0,−5)\displaystyle \rightarrow S(0, -5).
4. T is 3\displaystyle 3 m West of S →T(−3,−5)\displaystyle \rightarrow T(-3, -5).
Displacement vector TR⃗=R−T=(10−(−3),4−(−5))=(13,9)\displaystyle \vec{TR} = R - T = (10 - (-3), 4 - (-5)) = (13, 9), which is North-East.
*Discrepancy*: The key lists Option D (South-West), but the correct direction is North-East (Option C).
Hence, **Option C** is the correct answer.

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