BPSC – Combined Competitive Examination · प्रश्न 150
Four branches of a company are at M, N, O and P. M is 4 km north of N; P is 2 km south of O; N is 1 km south-east of O. What is the distance between M and P?
उत्तर दाखवा आणि स्पष्टीकरण
उत्तर: (A) 5.34 km
स्पष्टीकरण
Horizontal gap = 1/√2 ≈ 0.707 km; vertical gap = 4 − 0.707 + 2 = 5.293 km; distance ≈ 5.34 km.
- (A) बरोबर
Correct: with O at origin, N = (0.707, −0.707), M = (0.707, 3.293), P = (0, −2); MP = √(0.5 + 28.02) ≈ 5.34 km.
- (B) चूक
Wrong: too large.
- (C) चूक
Wrong: this is roughly MP², not MP.
- (D) चूक
Wrong: 5.34 km is correct.