Dosto, is chapter mein ek aadmi chalta hai β "5 km uttar, phir daaye mudkar 3 kmβ¦" β aur poocha jata hai ki wo shuruaat se kitni door hai aur kis disha mein hai.
Ye topic bina naksha (diagram) banaye kabhi mat karo. Dimaag mein rakhne ki koshish mein hi log galti karte hain. Kagaz par chhota sa map β aur answer saamne.
CET Group D mein isse 1β2 questions aate hain. Aur achhi baat β doori nikalne mein Pythagoras triplets (3-4-5, 5-12-13) hi kaam aate hain, jo Maths ke chapter 11 mein padhe the. Chalo! πͺ
1. β 8 Dishayein (compass yaad karo)
2. β Left/Right Turn β sabse zaroori niyam
| Munh jis taraf | RIGHT mudo to | LEFT mudo to |
|---|---|---|
| North (uttar) | East | West |
| East (poorab) | South | North |
| South (dakshin) | West | East |
| West (paschim) | North | South |
3. Naksha banane ka tarika (Solved Example)
Step 2: South par munh hai β left mudo = East β 6 km daaye
Step 3: East par munh hai β left mudo = North β 10 km upar (jitna neeche gaya tha, utna wapas)
Step 4: Upar-neeche cancel ho gaya, sirf 6 km daaye bacha β 6 km, East β
4. Doori nikalna (Pythagoras) β
Solved Example: 4 km North, phir 3 km East β
β β(4Β² + 3Β²) = β25 = 5 km, direction North-East β
Triplets yaad rakho: 3-4-5 Β· 6-8-10 Β· 5-12-13 Β· 8-15-17 (Maths Ch 11 wale).
5. Parchhai (Shadow) wale sawal
Shaam β suraj paschim mein β parchhai poorab ki taraf
Solved Example: Shaam ko ek ladke ki parchhai uske daaye padti hai. Uska munh kis taraf hai?
Step 1: Shaam = parchhai poorab ki taraf
Step 2: Yaani poorab uske daaye hai
Step 3: Compass ghumao β jab East daaye ho to munh North ki taraf hota hai β
6. Ghoomne (rotation) wale sawal
Step 2: SW se 90Β° anticlockwise = South-East β
Yaad rakho: clockwise = N β NE β E β SE β S β SW β W β NW (har kadam 45Β°)
Compass ko utna hi ghuma do: SE se N tak jitna ghooma, utna hi sab par lagao β West β South-East β
Kone mein compass, phir har kadam ka teer
Dimaag mein rakhne ki koshish = pakki galti. 15 second ka diagram 1 minute bachata hai.
Upar +, neeche β Β· daaye +, baaye β
15 N, 10 E, 5 S, 10 W β N-S: 15β5 = 10 upar; E-W: 10β10 = 0 β answer 10 km North. Ginti ka jhanjhat khatam!
Right: N β E β S β W
Right mudna = ghadi ki disha mein agla. Left = peeche wala. Ye ek line poora turn-table replace kar deti hai.
3-4-5 Β· 6-8-10 Β· 5-12-13
4 aur 3 dikhe to answer 5 β square-root nikalne ki zaroorat nahi (Maths Ch 11 se).
Subah β paschim Β· Shaam β poorab
Bas ye do line. Baaki sawal "daaye/baaye" ko compass par ghuma ke nikal jata hai.
| Cheez | Rule |
|---|---|
| Naksha | Upar N, neeche S, daaye E, baaye W |
| Right mudna | N β E β S β W |
| Left mudna | N β W β S β E |
| N par munh, right | East |
| S par munh, left | East |
| Seedhi doori | β(aΒ² + bΒ²) |
| Triplets | 3-4-5, 6-8-10, 5-12-13 |
| Subah parchhai | Paschim |
| Shaam parchhai | Poorab |
| Clockwise kram | N, NE, E, SE, S, SW, W, NW |
| N-S / E-W | Alag-alag jodo, phir bacha hua dekho |
| "X from Y" | Y par khade hokar X dekho |
Q1. A man walks 4 km towards north and then 3 km towards east. How far is he from the starting point?
Q2. A man walks 10 km south, turns left and walks 6 km, then turns left and walks 10 km. Where is he now with respect to the starting point?
Q3. A person facing north turns 90Β° to his right twice. Which direction is he facing now?
Q4. A boy facing east turns 90Β° to his left. Which direction is he facing?
Q5. Early in the morning, a man faces the rising sun. In which direction does his shadow fall?
Q6. In the evening, a boy's shadow falls towards his right. Which direction is he facing?
Q7. A man walks 5 km east, turns right and walks 5 km, turns right and walks 5 km, then turns right and walks 5 km. How far is he from the start?
Q8. Rahul walks 3 km north and then 4 km west. How far is he from the starting point and in which direction?
Q9. If South-East becomes North and North-East becomes West, then what does West become?
Q10. A man walks 2 km north, 3 km east, 4 km south and then 3 km west. Where is he from the starting point?
Q11. A person facing north-east turns 90Β° clockwise. Which direction is he facing now?
Q12. A person facing south turns 45Β° clockwise and then 90Β° anticlockwise. Which direction is he facing?
Q13. Village A is 5 km north of village B, and village C is 5 km east of B. In which direction is A from C?
Q14. A man goes 15 m north, 10 m east, 5 m south and then 10 m west. How far is he from the starting point?
Is chapter ka pehla aur aakhri niyam β naksha banao (upar N, daaye E). Turn hamesha chalne wale ke hisaab se hota hai: right = N β E β S β W, left = ulta. Doori nikalne mein N-S aur E-W alag-alag jodo; dono taraf kuch bache to β(aΒ²+bΒ²) (aur 3-4-5, 5-12-13 triplets se turant answer). Parchhai hamesha suraj ke ulti taraf β subah paschim, shaam poorab. Aur do baatein jahan sabse zyada marks kat-te hain: "kitni door" ka matlab seedhi doori hai (chala hua rasta nahi), aur "A from C" mein C par khade hokar dekhna hai. π