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BPSC Prelims 2023 General 📅 30 Sep, 2023

M is 4km North of N. P is 2km South of O. N is 1km SE of O. Dist between M and P?

A
5.34
B
6.74
C
28.5
D
None
Result Summary
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APEDIA

BPSC Prelims
2023 • 30 Sep, 2023 • General
M is 4km North of N. P is 2km South of O. N is 1km SE of O. Dist between M and P?
Correct Answer
5.34
Coordinates (Assuming O at 0,0): - O (0,0). - P (0, -2). - N (1km SE of O). SE implies 45 deg. Coordinates $(\frac{1}{\sqrt{2}}, -\frac{1}{\sqrt{2}})$.......
💡 Analysis & Explanation
Coordinates (Assuming O at 0,0)
- O (0,0).
- P (0, -2).
- N (1km SE of O). SE implies 45 deg. Coordinates $(\frac{1}{\sqrt{2}}, -\frac{1}{\sqrt{2}})$.
- M (4km North of N). Coordinates $(\frac{1}{\sqrt{2}}, 4 - \frac{1}{\sqrt{2}})$.
Distance MP
$\sqrt{(x_M-x_P)^2 + (y_M-y_P)^2}$.
- $x_M = 0.707, x_P = 0$. Diff = 0.707.
- $y_M = 3.293, y_P = -2$. Diff = 5.293.
- Dist = $\sqrt{0.5 + 28} \approx \sqrt{28.5} \approx 5.34$.
Answer
5.34 km.