Raju is 100 m South-East of Ramu. Venu is 100 m South-West of Raju. Khader is 100 m North-West of Venu. Where is Khader’s home relative to Ramu’s?

Introduction / Context:
We chain three equal diagonal displacements on an x–y plane and compare Khader’s final position to Ramu’s origin.

Given Data / Assumptions:

• Take East = +x, North = +y.
• SE = ( +d/√2, −d/√2 ), SW = ( −d/√2, −d/√2 ), NW = ( −d/√2, +d/√2 ), where d = 100 m.

Concept / Approach:
Add vectors successively, starting from Ramu at (0,0).

Step-by-Step Solution:
Raju: ( +d/√2, −d/√2 ).Venu: add SW ⇒ ( 0, −2d/√2 ).Khader: add NW ⇒ ( −d/√2, −d/√2 ).x < 0, y < 0 ⇒ South-West of Ramu.

Verification / Alternative check:
A vector diagram with 45° arrows confirms the final point lies down-left from the origin.

Why Other Options Are Wrong:
SE/NW/North contradict the final components.

Common Pitfalls:
Treating diagonal moves as axial or forgetting the √2 components.

Final Answer:
South-West